{"id":257180,"date":"2023-01-09T13:37:09","date_gmt":"2023-01-09T08:07:09","guid":{"rendered":"https:\/\/www.aakash.ac.in\/blog\/?post_type=web-story&#038;p=257180"},"modified":"2023-01-09T13:37:23","modified_gmt":"2023-01-09T08:07:23","slug":"5-real-life-applications-of-calculus","status":"publish","type":"web-story","link":"https:\/\/www.aakash.ac.in\/blog\/web-stories\/5-real-life-applications-of-calculus\/","title":{"rendered":"5 Real Life Applications of Calculus"},"content":{"rendered":"<p><html amp=\"\" lang=\"en\"><head><meta charSet=\"utf-8\"\/><meta name=\"viewport\" content=\"width=device-width,minimum-scale=1,initial-scale=1\"\/><script async=\"\" src=\"https:\/\/cdn.ampproject.org\/v0.js\"><\/script><script async=\"\" src=\"https:\/\/cdn.ampproject.org\/v0\/amp-story-1.0.js\" custom-element=\"amp-story\"><\/script><link href=\"https:\/\/fonts.googleapis.com\/css2?display=swap&amp;family=Merriweather%3Awght%40400%3B700\" rel=\"stylesheet\"\/>\n<style 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style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.11578124999999967% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.210356em;line-height:1.2;text-align:center;padding:0;color:#000000\"><span><span style=\"color: #edf6f6\">By Team Aakash Byju&#8217;s | 9th January 2023<\/span><\/span><\/p>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:14.32039%;top:80.58252%;width:71.60194%;height:10.67961%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:6.779661016949152% 6.779661016949152% 6.779661016949152% 6.779661016949152% \/ 30.303030303030305% 30.303030303030305% 30.303030303030305% 30.303030303030305%\" id=\"el-bc525d90-cbb3-4ef6-bd7a-0aab6a33f85c\">\n<h1 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:-0.605932203389831% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.404531em;line-height:1.4;text-align:center;padding:0;color:#000000\"><span><span style=\"font-weight: 700; color: #edf6f6\">Real Life Applications of Calculus<\/span><\/span><\/h1>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:12.37864%;top:66.82848%;width:75.24272%;height:11.16505%;opacity:1\">\n<div id=\"anim-bb6807dd-2523-4d84-abe5-02b13a104348\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:scale(1)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.6451612903225806% 0.6451612903225806% 0.6451612903225806% 0.6451612903225806% \/ 2.898550724637681% 2.898550724637681% 2.898550724637681% 2.898550724637681%\" id=\"el-c2aecfaa-eb02-4dc3-abea-4e6a44b396c5\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:-1.2685483870967758% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.889968em;line-height:1.4;text-align:center;padding:0;color:#000000\"><span><span style=\"color: #d6fd56\">5<\/span><\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><\/amp-story-page><amp-story-page id=\"4fb84253-d3ff-4a6f-bd72-5b93146b6cef\" auto-advance-after=\"7s\"><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-d51f81ce-dc4c-49fd-8178-871eca1629a7\",\"keyframes\":{\"transform\":[\"translate3d(-119.32203%, 0px, 0)\",\"translate3d(0px, 0px, 0)\"]},\"delay\":0,\"duration\":1200,\"easing\":\"cubic-bezier(0.4, 0.4, 0.0, 1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script 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srcSet=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/10\/business-online-shopping-concept-people-shopping-pay-by-credeit-card_1421-99.webp 626w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/10\/business-online-shopping-concept-people-shopping-pay-by-credeit-card_1421-99-300x200.webp 300w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/10\/business-online-shopping-concept-people-shopping-pay-by-credeit-card_1421-99-150x100.webp 150w\" sizes=\"(min-width: 1024px) 47vh, 104vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:-0.48544%;top:67.47573%;width:100.48544%;height:52.75081%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-805b8865-194c-461e-b29e-c061e3f77188\">\n<div class=\"fill\" style=\"background-color:#842b81;will-change:transform\"><\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:12.37864%;top:69.25566%;width:75.24272%;height:11.16505%;opacity:1\">\n<div id=\"anim-040174f6-90d8-467e-bd1c-823bef0db568\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:scale(1)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.6451612903225806% 0.6451612903225806% 0.6451612903225806% 0.6451612903225806% \/ 2.898550724637681% 2.898550724637681% 2.898550724637681% 2.898550724637681%\" id=\"el-8d2ae2d5-e0f9-4553-9885-449cb3a3743c\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:-1.2685483870967758% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.889968em;line-height:1.4;text-align:center;padding:0;color:#000000\"><span><span style=\"color: #d6fd56\">1<\/span><\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:13.83495%;top:80.42071%;width:71.60194%;height:19.41748%;opacity:1\">\n<div id=\"anim-d51f81ce-dc4c-49fd-8178-871eca1629a7\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:translate3d(-119.32203%, 0px, 0)\">\n<div id=\"anim-4f705e3b-e235-4451-ab9a-dd18fe2526c6\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:0;--initial-transform:none\">\n<div id=\"anim-175f59d8-53ea-493d-a14d-e14135493f0b\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:scale(0.15)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:6.779661016949152% 6.779661016949152% 6.779661016949152% 6.779661016949152% \/ 16.666666666666664% 16.666666666666664% 16.666666666666664% 16.666666666666664%\" id=\"el-7f1da35e-5d2a-492c-a09e-1c9960383845\">\n<h1 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.19322033898305033% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.323625em;line-height:1.2;text-align:center;padding:0;color:#000000\"><span><span style=\"color: #edf6f6\">Credit card companies use calculus to calculate the minimum payments required at the exact time the statement is processed.<\/span><\/span><\/h1>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><\/amp-story-page><amp-story-page id=\"b2620870-7772-425e-9f66-2f895db149d3\" auto-advance-after=\"7s\"><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-c0df62c9-7363-4694-b632-861e40b4756b [data-leaf-element=\\\"true\\\"]\",\"keyframes\":{\"transform\":[\"translate3d(0%, 0, 0) translate(25%, 0%) scale(1.5)\",\"translate3d(0%, 0, 0) translate(0%, 0%) scale(1)\"]},\"delay\":0,\"duration\":2000,\"easing\":\"cubic-bezier(.14,.34,.47,.9)\",\"fill\":\"forwards\"}]<\/script><\/amp-story-animation><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\" style=\"background-color:#d6d7d6\">\n<div class=\"page-safe-area\">\n<div 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type=\"application\/json\">[{\"selector\":\"#anim-d8513508-02ca-49e5-841b-1426a1cc3369\",\"keyframes\":{\"transform\":[\"translate3d(-119.32203%, 0px, 0)\",\"translate3d(0px, 0px, 0)\"]},\"delay\":0,\"duration\":1200,\"easing\":\"cubic-bezier(0.4, 0.4, 0.0, 1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-f8e34916-6e48-49f1-a2cb-a286be8692f0\",\"keyframes\":{\"opacity\":[0,1]},\"delay\":0,\"duration\":1200,\"easing\":\"cubic-bezier(0.4, 0.4, 0.0, 1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-79fd1a12-1f09-4616-a3e1-118bc4e11622\",\"keyframes\":{\"transform\":[\"scale(0.15)\",\"scale(1)\"]},\"delay\":0,\"duration\":1200,\"easing\":\"cubic-bezier(0.4, 0.4, 0.0, 1)\",\"fill\":\"forwards\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-4a0ac184-f519-474f-b4f9-8af961fd9802\",\"keyframes\":[{\"transform\":\"scale(1)\",\"offset\":0},{\"transform\":\"scale(1.25)\",\"offset\":0.33},{\"transform\":\"scale(0.975)\",\"offset\":0.66},{\"transform\":\"scale(1)\",\"offset\":1}],\"delay\":0,\"duration\":1000,\"easing\":\"ease-in-out\",\"fill\":\"both\",\"iterations\":1}]<\/script><\/amp-story-animation><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\" style=\"background-color:#000\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:0;top:-9.25926%;width:100%;height:118.51852%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-5a565381-226e-4f97-b976-7aa3177d2409\">\n<div class=\"fill\" style=\"will-change:transform\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:-4.12621%;top:-9.54693%;width:103.8835%;height:84.30421%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0% 0% 0% 0% \/ 0% 0% 0% 0%\" class=\"mask\" id=\"el-8e64487d-5e8e-43bb-90d6-6b7032759f63\">\n<div style=\"position:absolute;width:182.66481%;height:100%;left:-32.7347%;top:0%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/12\/construction-concept-with-engineering-tools-scaled.jpg\" alt=\"construction concept. engineering tools\" srcSet=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/12\/construction-concept-with-engineering-tools-scaled.jpg 2560w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/12\/construction-concept-with-engineering-tools-2048x1365.jpg 2048w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/12\/construction-concept-with-engineering-tools-1536x1024.jpg 1536w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/12\/construction-concept-with-engineering-tools-1200x800.jpg 1200w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/12\/construction-concept-with-engineering-tools-1140x760.jpg 1140w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/12\/construction-concept-with-engineering-tools-1024x683.jpg 1024w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/12\/construction-concept-with-engineering-tools-768x512.jpg 768w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/12\/construction-concept-with-engineering-tools-750x500.jpg 750w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/12\/construction-concept-with-engineering-tools-300x200.jpg 300w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/12\/construction-concept-with-engineering-tools-150x100.jpg 150w\" sizes=\"(min-width: 1024px) 47vh, 104vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:-0.48544%;top:67.47573%;width:100.48544%;height:52.75081%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-d231a862-ad2c-4a33-b11d-9a1c4f2b9b81\">\n<div class=\"fill\" style=\"background-color:#842b81;will-change:transform\"><\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:13.83495%;top:80.42071%;width:71.60194%;height:19.41748%;opacity:1\">\n<div id=\"anim-d8513508-02ca-49e5-841b-1426a1cc3369\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:translate3d(-119.32203%, 0px, 0)\">\n<div id=\"anim-f8e34916-6e48-49f1-a2cb-a286be8692f0\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:0;--initial-transform:none\">\n<div id=\"anim-79fd1a12-1f09-4616-a3e1-118bc4e11622\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:scale(0.15)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:6.779661016949152% 6.779661016949152% 6.779661016949152% 6.779661016949152% \/ 16.666666666666664% 16.666666666666664% 16.666666666666664% 16.666666666666664%\" id=\"el-26bb4bcd-e221-4495-a989-029cc75189a1\">\n<h1 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.19322033898305033% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.323625em;line-height:1.2;text-align:center;padding:0;color:#000000\"><span><span style=\"color: #edf6f6\">Calculus is applied in various fields like engineering, where engineers use integrals to determine the structure of a building.<\/span><\/span><\/h1>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:12.37864%;top:69.25566%;width:75.24272%;height:11.16505%;opacity:1\">\n<div id=\"anim-4a0ac184-f519-474f-b4f9-8af961fd9802\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:scale(1)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.6451612903225806% 0.6451612903225806% 0.6451612903225806% 0.6451612903225806% \/ 2.898550724637681% 2.898550724637681% 2.898550724637681% 2.898550724637681%\" id=\"el-e6d5e17b-50d8-4269-b799-aa121509c23a\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:-1.2685483870967758% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.889968em;line-height:1.4;text-align:center;padding:0;color:#000000\"><span><span style=\"color: #d6fd56\">2<\/span><\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><\/amp-story-page><amp-story-page id=\"b6f40b6c-30ab-4532-a579-c42549f6a9c0\" auto-advance-after=\"7s\"><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-4acc1e5d-05c7-40ae-84e8-1a0f6ab7bf65\",\"keyframes\":{\"transform\":[\"translate3d(-119.32203%, 0px, 0)\",\"translate3d(0px, 0px, 0)\"]},\"delay\":0,\"duration\":1200,\"easing\":\"cubic-bezier(0.4, 0.4, 0.0, 1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-6504999d-70df-4d97-877e-563f8e752f69\",\"keyframes\":{\"opacity\":[0,1]},\"delay\":0,\"duration\":1200,\"easing\":\"cubic-bezier(0.4, 0.4, 0.0, 1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-92dc0884-de48-45cb-8c53-0053eba33001\",\"keyframes\":{\"transform\":[\"scale(0.15)\",\"scale(1)\"]},\"delay\":0,\"duration\":1200,\"easing\":\"cubic-bezier(0.4, 0.4, 0.0, 1)\",\"fill\":\"forwards\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-9514286a-b44e-4864-a60e-d1fbf14dd8f1\",\"keyframes\":[{\"transform\":\"scale(1)\",\"offset\":0},{\"transform\":\"scale(1.25)\",\"offset\":0.33},{\"transform\":\"scale(0.975)\",\"offset\":0.66},{\"transform\":\"scale(1)\",\"offset\":1}],\"delay\":0,\"duration\":1000,\"easing\":\"ease-in-out\",\"fill\":\"both\",\"iterations\":1}]<\/script><\/amp-story-animation><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\" style=\"background-color:#000\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:0;top:-9.25926%;width:100%;height:118.51852%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-6fb84c83-5d79-40e0-84a1-4ddd72e7d75d\">\n<div class=\"fill\" style=\"will-change:transform\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:-4.12621%;top:-9.54693%;width:103.8835%;height:84.30421%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0% 0% 0% 0% \/ 0% 0% 0% 0%\" class=\"mask\" id=\"el-98a187da-2b26-46be-ab8c-3a12020a49fa\">\n<div style=\"position:absolute;width:100%;height:146.04393%;left:0%;top:-36.20175%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2023\/01\/Shutterstock_357950945.jpg\" alt=\"Shutterstock_357950945\" srcSet=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2023\/01\/Shutterstock_357950945.jpg 720w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2023\/01\/Shutterstock_357950945-576x1024.jpg 576w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2023\/01\/Shutterstock_357950945-169x300.jpg 169w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2023\/01\/Shutterstock_357950945-150x267.jpg 150w\" sizes=\"(min-width: 1024px) 47vh, 104vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:-0.48544%;top:67.47573%;width:100.48544%;height:52.75081%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-b489bfd6-0c2a-4869-9367-a4f655a0cb6c\">\n<div class=\"fill\" style=\"background-color:#842b81;will-change:transform\"><\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:12.37864%;top:69.25566%;width:75.24272%;height:11.16505%;opacity:1\">\n<div id=\"anim-9514286a-b44e-4864-a60e-d1fbf14dd8f1\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:scale(1)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.6451612903225806% 0.6451612903225806% 0.6451612903225806% 0.6451612903225806% \/ 2.898550724637681% 2.898550724637681% 2.898550724637681% 2.898550724637681%\" id=\"el-32b943dd-5fa4-49fd-979b-e3362b4a4b00\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:-1.2685483870967758% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.889968em;line-height:1.4;text-align:center;padding:0;color:#000000\"><span><span style=\"color: #d6fd56\">3<\/span><\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:13.83495%;top:80.42071%;width:71.60194%;height:15.85761%;opacity:1\">\n<div id=\"anim-4acc1e5d-05c7-40ae-84e8-1a0f6ab7bf65\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:translate3d(-119.32203%, 0px, 0)\">\n<div id=\"anim-6504999d-70df-4d97-877e-563f8e752f69\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:0;--initial-transform:none\">\n<div id=\"anim-92dc0884-de48-45cb-8c53-0053eba33001\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:scale(0.15)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:6.779661016949152% 6.779661016949152% 6.779661016949152% 6.779661016949152% \/ 20.408163265306122% 20.408163265306122% 20.408163265306122% 20.408163265306122%\" id=\"el-2de1532f-f8df-4a9e-ad76-36963d492eea\">\n<h1 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.19322033898305033% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.323625em;line-height:1.2;text-align:center;padding:0;color:#000000\"><span><span style=\"color: #edf6f6\">Biologists use differential calculus to determine how the population of predators and prey changes over time.<\/span><\/span><\/h1>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><\/amp-story-page><amp-story-page id=\"e3560b40-e62e-42b4-85d8-cf6430091a15\" auto-advance-after=\"7s\"><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-adf4ce0d-ac47-4d3d-aa44-4ce4ab10c947\",\"keyframes\":{\"transform\":[\"translate3d(-119.32203%, 0px, 0)\",\"translate3d(0px, 0px, 0)\"]},\"delay\":0,\"duration\":1200,\"easing\":\"cubic-bezier(0.4, 0.4, 0.0, 1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-cb51a24e-95d3-4d9c-8416-15d12f1ed956\",\"keyframes\":{\"opacity\":[0,1]},\"delay\":0,\"duration\":1200,\"easing\":\"cubic-bezier(0.4, 0.4, 0.0, 1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-020fc93e-70b0-4260-92fe-2e1aea0f275a\",\"keyframes\":{\"transform\":[\"scale(0.15)\",\"scale(1)\"]},\"delay\":0,\"duration\":1200,\"easing\":\"cubic-bezier(0.4, 0.4, 0.0, 1)\",\"fill\":\"forwards\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-d5c45ec8-b12b-46f8-9b92-1d5ca612962d\",\"keyframes\":[{\"transform\":\"scale(1)\",\"offset\":0},{\"transform\":\"scale(1.25)\",\"offset\":0.33},{\"transform\":\"scale(0.975)\",\"offset\":0.66},{\"transform\":\"scale(1)\",\"offset\":1}],\"delay\":0,\"duration\":1000,\"easing\":\"ease-in-out\",\"fill\":\"both\",\"iterations\":1}]<\/script><\/amp-story-animation><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\" style=\"background-color:#000\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:0;top:-9.25926%;width:100%;height:118.51852%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-64089526-a4dc-435f-be67-1aa99e3270f9\">\n<div class=\"fill\" style=\"will-change:transform\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:-4.12621%;top:-9.54693%;width:103.8835%;height:84.30421%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0% 0% 0% 0% \/ 0% 0% 0% 0%\" class=\"mask\" id=\"el-25dc0616-e7b7-4aac-a6e6-8149c4c5ae84\">\n<div style=\"position:absolute;width:100%;height:145.49407%;left:0%;top:-22.8675%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/07\/How-Nikola-Tesla-did-invent-Alternating-Current-09a.jpg\" alt=\"How Nikola Tesla did invent Alternating Current-09a\" srcSet=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/07\/How-Nikola-Tesla-did-invent-Alternating-Current-09a.jpg 830w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/07\/How-Nikola-Tesla-did-invent-Alternating-Current-09a-768x1360.jpg 768w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/07\/How-Nikola-Tesla-did-invent-Alternating-Current-09a-750x1328.jpg 750w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/07\/How-Nikola-Tesla-did-invent-Alternating-Current-09a-578x1024.jpg 578w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/07\/How-Nikola-Tesla-did-invent-Alternating-Current-09a-169x300.jpg 169w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/07\/How-Nikola-Tesla-did-invent-Alternating-Current-09a-150x266.jpg 150w\" sizes=\"(min-width: 1024px) 47vh, 104vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:-0.48544%;top:67.47573%;width:100.48544%;height:52.75081%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-095559f6-3f14-414c-abc7-d89615e7fcdc\">\n<div class=\"fill\" style=\"background-color:#842b81;will-change:transform\"><\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:12.37864%;top:69.25566%;width:75.24272%;height:11.16505%;opacity:1\">\n<div id=\"anim-d5c45ec8-b12b-46f8-9b92-1d5ca612962d\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:scale(1)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.6451612903225806% 0.6451612903225806% 0.6451612903225806% 0.6451612903225806% \/ 2.898550724637681% 2.898550724637681% 2.898550724637681% 2.898550724637681%\" id=\"el-ca3312c7-b049-4346-a312-e124a352472c\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:-1.2685483870967758% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.889968em;line-height:1.4;text-align:center;padding:0;color:#000000\"><span><span style=\"color: #d6fd56\">4<\/span><\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:13.83495%;top:80.42071%;width:71.60194%;height:19.57929%;opacity:1\">\n<div id=\"anim-adf4ce0d-ac47-4d3d-aa44-4ce4ab10c947\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:translate3d(-119.32203%, 0px, 0)\">\n<div id=\"anim-cb51a24e-95d3-4d9c-8416-15d12f1ed956\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:0;--initial-transform:none\">\n<div id=\"anim-020fc93e-70b0-4260-92fe-2e1aea0f275a\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:scale(0.15)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:6.779661016949152% 6.779661016949152% 6.779661016949152% 6.779661016949152% \/ 16.528925619834713% 16.528925619834713% 16.528925619834713% 16.528925619834713%\" id=\"el-7a336dc5-01d5-409e-9072-570e997371fa\">\n<h1 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.19322033898305033% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.323625em;line-height:1.2;text-align:center;padding:0;color:#000000\"><span><span style=\"color: #edf6f6\">An electrician uses integration to determine the exact length of wire needed to connect two substations that are miles apart.<\/span><\/span><\/h1>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><\/amp-story-page><amp-story-page id=\"398e1ca0-0010-42b6-b58f-d7b5013e5b1c\" auto-advance-after=\"7s\"><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-4f62d447-76b1-4634-abb5-503106a17b95\",\"keyframes\":{\"transform\":[\"translate3d(-119.32203%, 0px, 0)\",\"translate3d(0px, 0px, 0)\"]},\"delay\":0,\"duration\":1200,\"easing\":\"cubic-bezier(0.4, 0.4, 0.0, 1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-96985615-3212-4c24-8993-07f0dad08880\",\"keyframes\":{\"opacity\":[0,1]},\"delay\":0,\"duration\":1200,\"easing\":\"cubic-bezier(0.4, 0.4, 0.0, 1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-5d1dccec-556f-41fe-b17f-2e2a2ea1057d\",\"keyframes\":{\"transform\":[\"scale(0.15)\",\"scale(1)\"]},\"delay\":0,\"duration\":1200,\"easing\":\"cubic-bezier(0.4, 0.4, 0.0, 1)\",\"fill\":\"forwards\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-fccb21a9-7d31-4ba0-a646-9998dd297b02\",\"keyframes\":[{\"transform\":\"scale(1)\",\"offset\":0},{\"transform\":\"scale(1.25)\",\"offset\":0.33},{\"transform\":\"scale(0.975)\",\"offset\":0.66},{\"transform\":\"scale(1)\",\"offset\":1}],\"delay\":0,\"duration\":1000,\"easing\":\"ease-in-out\",\"fill\":\"both\",\"iterations\":1}]<\/script><\/amp-story-animation><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\" style=\"background-color:#000\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:0;top:-9.25926%;width:100%;height:118.51852%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-df4496c6-adfb-4808-8689-b269f378875e\">\n<div class=\"fill\" style=\"will-change:transform\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:-4.12621%;top:-9.54693%;width:103.8835%;height:84.30421%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0% 0% 0% 0% \/ 0% 0% 0% 0%\" class=\"mask\" id=\"el-14c70957-bd1b-4c80-831c-767b036b98f9\">\n<div style=\"position:absolute;width:100%;height:123.27272%;left:0%;top:-23.27272%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/12\/Shutterstock_1225782877-scaled.jpg\" alt=\"Shutterstock_1225782877\" srcSet=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/12\/Shutterstock_1225782877-scaled.jpg 1706w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/12\/Shutterstock_1225782877-1365x2048.jpg 1365w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/12\/Shutterstock_1225782877-1200x1800.jpg 1200w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/12\/Shutterstock_1225782877-1140x1710.jpg 1140w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/12\/Shutterstock_1225782877-1024x1536.jpg 1024w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/12\/Shutterstock_1225782877-768x1152.jpg 768w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/12\/Shutterstock_1225782877-750x1125.jpg 750w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/12\/Shutterstock_1225782877-683x1024.jpg 683w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/12\/Shutterstock_1225782877-200x300.jpg 200w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/12\/Shutterstock_1225782877-150x225.jpg 150w\" sizes=\"(min-width: 1024px) 47vh, 104vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:-0.48544%;top:67.47573%;width:100.48544%;height:52.75081%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-53f720e8-66d3-469b-a567-2beabc6e9581\">\n<div class=\"fill\" style=\"background-color:#842b81;will-change:transform\"><\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:12.37864%;top:69.25566%;width:75.24272%;height:11.16505%;opacity:1\">\n<div id=\"anim-fccb21a9-7d31-4ba0-a646-9998dd297b02\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:scale(1)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.6451612903225806% 0.6451612903225806% 0.6451612903225806% 0.6451612903225806% \/ 2.898550724637681% 2.898550724637681% 2.898550724637681% 2.898550724637681%\" id=\"el-891f2b59-f79f-41dc-92e1-a8795da75d37\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:-1.2685483870967758% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.889968em;line-height:1.4;text-align:center;padding:0;color:#000000\"><span><span style=\"color: #d6fd56\">5<\/span><\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:13.83495%;top:80.42071%;width:71.60194%;height:23.46278%;opacity:1\">\n<div id=\"anim-4f62d447-76b1-4634-abb5-503106a17b95\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:translate3d(-119.32203%, 0px, 0)\">\n<div id=\"anim-96985615-3212-4c24-8993-07f0dad08880\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:0;--initial-transform:none\">\n<div id=\"anim-5d1dccec-556f-41fe-b17f-2e2a2ea1057d\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:scale(0.15)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:6.779661016949152% 6.779661016949152% 6.779661016949152% 6.779661016949152% \/ 13.793103448275861% 13.793103448275861% 13.793103448275861% 13.793103448275861%\" id=\"el-3278cacb-2d66-439b-b0f7-0ccd14f51c42\">\n<h1 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.19322033898305033% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.323625em;line-height:1.2;text-align:center;padding:0;color:#000000\"><span><span style=\"color: #edf6f6\">Statisticians use calculus to analyse survey data to produce accurate predictions and assist in the development of business plans.<\/span><\/span><\/h1>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><\/amp-story-page><amp-story-page id=\"7c830d3f-0cde-48f1-bf4e-9e13f6b81027\" auto-advance-after=\"7s\"><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-96bedede-9267-4812-af20-b28e16ebcc52 [data-leaf-element=\\\"true\\\"]\",\"keyframes\":{\"transform\":[\"translate3d(0%, 0, 0) translate(25%, 0%) scale(1.5)\",\"translate3d(0%, 0, 0) translate(0%, 0%) scale(1)\"]},\"delay\":0,\"duration\":2000,\"easing\":\"cubic-bezier(.14,.34,.47,.9)\",\"fill\":\"forwards\"}]<\/script><\/amp-story-animation><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\" style=\"background-color:#0caee8\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:0;top:-9.25926%;width:100%;height:118.51852%;opacity:1\">\n<div id=\"anim-96bedede-9267-4812-af20-b28e16ebcc52\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-702e29ed-3e67-4d51-8fff-aca3e3b34260\">\n<div 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