{"id":435275,"date":"2018-06-25T19:44:01","date_gmt":"2018-06-25T19:44:01","guid":{"rendered":"https:\/\/essaypaper.org\/?p=29212"},"modified":"2018-10-24T09:14:11","modified_gmt":"2018-10-24T09:14:11","slug":"mathematics-calculus-multiple-choice","status":"publish","type":"post","link":"https:\/\/www.benedictsol.com\/blogs\/mathematics-calculus-multiple-choice\/","title":{"rendered":"Mathematics, Calculus-Multiple Choice"},"content":{"rendered":"

Multiple Choice<\/h2>\n\n\n\n\n
1.\u00a0<\/strong><\/td>\nDescribe how the graph of y = x4<\/sup>\u00a0can be transformed to the graph of the given equation.<\/p>\n

y = (x – 2)4<\/sup>\u00a0+ 9 (5 points)<\/td>\n<\/tr>\n

<\/td>\n\n\n\n\n\n\n\n
<\/td>\nShift the graph of y = x4<\/sup>\u00a0right 2 units and up 9 units.<\/td>\n<\/tr>\n
<\/td>\nShift the graph of y = x4<\/sup>\u00a0left 2 units and down 9 units.<\/td>\n<\/tr>\n
<\/td>\nShift the graph of y = x4<\/sup>\u00a0right 2 units and down 9 units.<\/td>\n<\/tr>\n
<\/td>\nShift the graph of y = x4<\/sup>\u00a0left 2 units and up 9 units.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n\n\n\n\n
2.\u00a0<\/strong><\/td>\nUse your calculator and a table of values to find the exact value of\u00a0\u00a0. (The limit as x approaches zero) (5 points)<\/td>\n<\/tr>\n
<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n\n\n\n\n
3.\u00a0<\/strong><\/td>\nUse the graph below to evaluate\u00a0\u00a0:<\/p>\n

(5 points)<\/td>\n<\/tr>\n

<\/td>\n\n\n\n\n\n\n\n
<\/td>\n0<\/td>\n<\/tr>\n
<\/td>\n4<\/td>\n<\/tr>\n
<\/td>\n3<\/td>\n<\/tr>\n
<\/td>\n2<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n\n\n\n\n
4.\u00a0<\/strong><\/td>\nFind the vertical asymptote(s) for the function\u00a0\u00a0. (5 points)<\/td>\n<\/tr>\n
<\/td>\n\n\n\n\n\n\n\n
<\/td>\nx = -5, 5<\/td>\n<\/tr>\n
<\/td>\ny = 0<\/td>\n<\/tr>\n
<\/td>\nx = -1<\/td>\n<\/tr>\n
<\/td>\nx = 5<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n\n\n\n\n
5.\u00a0<\/strong><\/td>\nThe end behavior of\u00a0\u00a0most<\/strong>\u00a0closely matches which of the following? (5 points)<\/td>\n<\/tr>\n
<\/td>\n\n\n\n\n\n\n\n
<\/td>\ny = 0<\/td>\n<\/tr>\n
<\/td>\ny = 1<\/td>\n<\/tr>\n
<\/td>\ny = 2<\/td>\n<\/tr>\n
<\/td>\ny = -18<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n\n\n\n\n
6.\u00a0<\/strong><\/td>\nWhich of the following functions is continuous at x = 2? (5 points)<\/td>\n<\/tr>\n
<\/td>\n\n\n\n\n\n\n\n
<\/td>\n<\/td>\n<\/tr>\n
<\/td>\n<\/td>\n<\/tr>\n
<\/td>\n<\/td>\n<\/tr>\n
<\/td>\nAll are continuous at x = 2<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n\n\n\n\n
7.\u00a0<\/strong><\/td>\nEvaluate\u00a0\u00a0. (5 points)<\/td>\n<\/tr>\n
<\/td>\n\n\n\n\n\n\n\n
<\/td>\n108<\/td>\n<\/tr>\n
<\/td>\n3<\/td>\n<\/tr>\n
<\/td>\n81<\/td>\n<\/tr>\n
<\/td>\nDoes not exist<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n\n\n\n\n
8.\u00a0<\/strong><\/td>\nFind f ‘(x) for f(x) = 8x3<\/sup>\u00a0+ 2x2<\/sup>\u00a0– 8x + 10. (5 points)<\/td>\n<\/tr>\n
<\/td>\n\n\n\n\n\n\n\n
<\/td>\nNone of these<\/td>\n<\/tr>\n
<\/td>\nf ‘(x) = 24x2<\/sup>\u00a0+ 4x – 8<\/td>\n<\/tr>\n
<\/td>\nf ‘(x) = 24x2<\/sup>\u00a0+ 4x – 8 + 10<\/td>\n<\/tr>\n
<\/td>\nf ‘(x) = 24x + 4x – 10<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n\n\n\n\n
9.\u00a0<\/strong><\/td>\nFind g ‘(x) for g(x) = sec(2x). (5 points)<\/td>\n<\/tr>\n
<\/td>\n\n\n\n\n\n\n\n
<\/td>\ng ‘(x) = 2tan2<\/sup>(2x)<\/td>\n<\/tr>\n
<\/td>\ng ‘(x) = 2sec(2x)tan(2x)<\/td>\n<\/tr>\n
<\/td>\ng ‘(x) = 2sec(2x)<\/td>\n<\/tr>\n
<\/td>\ng ‘(x) = 2sec2<\/sup>(2x)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n\n\n\n\n
10.\u00a0<\/strong><\/td>\nWhere is the second derivative of y = 2xe-x<\/sup>\u00a0equal to 0? (5 points)<\/td>\n<\/tr>\n
<\/td>\n\n\n\n\n\n\n\n
<\/td>\n2<\/td>\n<\/tr>\n
<\/td>\n4<\/td>\n<\/tr>\n
<\/td>\n1<\/td>\n<\/tr>\n
<\/td>\n0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n\n\n\n\n
11.\u00a0<\/strong><\/td>\nIf f(x) = arctan(2x), then f ‘(x) = ? (5 points)<\/td>\n<\/tr>\n
<\/td>\n\n\n\n\n\n\n\n
<\/td>\n<\/td>\n<\/tr>\n
<\/td>\n<\/td>\n<\/tr>\n
<\/td>\n<\/td>\n<\/tr>\n
<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n\n\n\n\n
12.\u00a0<\/strong><\/td>\nThe graph of the derivative, f ‘(x) is shown below. On what interval is the graph of f (x) concave up?<\/p>\n

(5 points)<\/td>\n<\/tr>\n

<\/td>\n\n\n\n\n\n\n\n
<\/td>\nConcave up on (-\u221e, -1)<\/td>\n<\/tr>\n
<\/td>\nConcave up on (-6, -2)<\/td>\n<\/tr>\n
<\/td>\nConcave up on (-\u221e, -\u221e)<\/td>\n<\/tr>\n
<\/td>\nConcave up on (-1, \u221e)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n\n\n\n\n
13.\u00a0<\/strong><\/td>\nA particle moves along the x-axis with position function s(t) = ecos(x)<\/sup>. How many times in the interval [0, 2\u03c0] is the velocity equal to 0? (5 points)<\/td>\n<\/tr>\n
<\/td>\n\n\n\n\n\n\n\n
<\/td>\nMore than 3<\/td>\n<\/tr>\n
<\/td>\n2<\/td>\n<\/tr>\n
<\/td>\n3<\/td>\n<\/tr>\n
<\/td>\n1<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n\n\n\n\n
14.\u00a0<\/strong><\/td>\nAn ice block is melting so that the length of each side is changing at the rate of 1.5 inches per hour. How fast is the surface area of the ice cube changing at the instant the ice block has a side length of 2 inches? (5 points)<\/td>\n<\/tr>\n
<\/td>\n\n\n\n\n\n\n\n
<\/td>\n-18 in2<\/sup>\/hour<\/td>\n<\/tr>\n
<\/td>\n-36 in2<\/sup>\/hour<\/td>\n<\/tr>\n
<\/td>\n-12 in2<\/sup>\/hour<\/td>\n<\/tr>\n
<\/td>\n-24 in2<\/sup>\/hour<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n\n\n\n\n
15.\u00a0<\/strong><\/td>\nIf f(x) = |(x2<\/sup>\u00a0– 4)(x2<\/sup>\u00a0+ 2)|, how many numbers in the interval [0, 1] satisfy the conclusion of the Mean Value Theorem? (5 points)<\/td>\n<\/tr>\n
<\/td>\n\n\n\n\n\n\n\n
<\/td>\n3<\/td>\n<\/tr>\n
<\/td>\nNone<\/td>\n<\/tr>\n
<\/td>\n2<\/td>\n<\/tr>\n
<\/td>\n1<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n

 <\/p>\n","protected":false},"excerpt":{"rendered":"

Multiple Choice 1.\u00a0 Describe how the graph of y = x4\u00a0can be transformed to the graph of the given equation. y = (x – 2)4\u00a0+ 9 (5 points) Shift the graph of y = x4\u00a0right 2 units and up 9 Read More …<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[15],"tags":[],"class_list":["post-435275","post","type-post","status-publish","format-standard","hentry","category-essay-paper-writing"],"_links":{"self":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts\/435275","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/comments?post=435275"}],"version-history":[{"count":0,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts\/435275\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/media?parent=435275"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/categories?post=435275"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/tags?post=435275"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}