{"id":2934,"date":"2020-10-31T08:20:18","date_gmt":"2020-10-31T08:20:18","guid":{"rendered":"http:\/\/onlineclassesguru.com\/?p=2934"},"modified":"2020-10-31T08:21:07","modified_gmt":"2020-10-31T08:21:07","slug":"maths-test","status":"publish","type":"post","link":"https:\/\/onlineclassesguru.com\/index.php\/2020\/10\/31\/maths-test\/","title":{"rendered":"Maths test Basic calculus"},"content":{"rendered":"<style type=\"text\/css\"><\/style><p>1. (6 points) Find<br \/>\ndt<br \/>\ndx for 3 x = \u22122z \u2212 t<br \/>\n2. (10 points) Find<br \/>\ndx<br \/>\ndy for 3 5 2 5 2 2<br \/>\nx + xy = y +<br \/>\n3. (8 points) Find the differential dy for<br \/>\nx<br \/>\ny x<br \/>\n1 4 2 = +<br \/>\n4. Use the equation 3 4 5 2<br \/>\ny = x \u2212 x \u2212 to answer the following questions.<br \/>\na) (10 points) Write the equation of the tangent line drawn to this curve at x = 2 . Answer in<br \/>\ngeneral form.<br \/>\nb) (2 points) Find the slope of the normal line drawn to this curve at x = 2 .<br \/>\nPage 1 of 4<br \/>\n5. Use the equation 3 2<br \/>\ny = \u2212x + 6x to answer the following questions.<br \/>\na) (2 points) Find the domain of y.<br \/>\nb) (4 points) Find the x-intercept(s) as points.<br \/>\nc) (2 points) Find the y-intercept(s) as points.<br \/>\nd) (10 points) Find any maximum and minimum points.<br \/>\ne) (6 points) Find any points of inflection.<br \/>\nPage 2 of 4<br \/>\nf) (8 points) Sketch the function.<br \/>\n6. (6 points) Is the curve 3 2 2 1 4 3 y = x + x + x \u2212 increasing or decreasing at x = \u22122 ? Show your work<br \/>\nto justify your answer.<br \/>\nPage 3 of 4<br \/>\n7. (6 points) Is the curve 2 5 4 4 3 y = x + x + concave upward or concave downward at x = \u22122 ?<br \/>\nExplain your answer.<br \/>\n8. Use the curve<br \/>\n1<br \/>\n4 8<br \/>\n+<br \/>\n\u2212 = x<br \/>\nx<br \/>\ny to answer the following questions.<br \/>\na) (2 points) Find the domain of y.<br \/>\nb) (2 points) Find the vertical asymptotes for the curve.<br \/>\nc) (4 points) Find the horizontal asymptotes for the curve. (No limits, no credit)<br \/>\nd) (4 points) Find x- and y-intercepts as points.<br \/>\n9. (8 points) Find the second derivative for y = 4x +1<\/p>\n<p><center><a href=\"http:\/\/onlineclassesguru.com\/orders\/ordernow\"><img decoding=\"async\" src=\"https:\/\/encrypted-tbn0.gstatic.com\/images?q=tbn:ANd9GcTyj99p60XCLyLk1htB7-1neRt8-2QdnenNlQ&usqp=CAU\"target=\"_http:\/\/onlineclassesguru.com\/orders\/ordernow\"\/><\/center><p>","protected":false},"excerpt":{"rendered":"<p>1. (6 points) Find dt dx for 3 x = \u22122z \u2212 t 2. (10 points) Find dx dy for 3 5 2 5 2 2 x + xy = y + 3. (8 points) Find the differential dy for x y x 1 4 2 = + 4. Use the equation 3 4 5&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-2934","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.0 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Maths test Basic calculus - onlineclassesguru<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/onlineclassesguru.com\/index.php\/2020\/10\/31\/maths-test\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Maths test Basic calculus - onlineclassesguru\" \/>\n<meta property=\"og:description\" content=\"1. (6 points) Find dt dx for 3 x = \u22122z \u2212 t 2. (10 points) Find dx dy for 3 5 2 5 2 2 x + xy = y + 3. (8 points) Find the differential dy for x y x 1 4 2 = + 4. 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(6 points) Find dt dx for 3 x = \u22122z \u2212 t 2. (10 points) Find dx dy for 3 5 2 5 2 2 x + xy = y + 3. (8 points) Find the differential dy for x y x 1 4 2 = + 4. 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