[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-466339-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-466339-en":131},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","university-of-central-florida-mock-test-1-calculus-i-mac2311","University of Central Florida - MOCK Test 1 - Calculus I MAC2311","","Mock Test 1 for Calculus I (MAC2311), covering Sections 22 to 30 with a one-hour duration. The exam instructions specify no calculators, cell phones, books, or notes, and require work to be shown for full credit. It includes multiple-choice true/false and selection questions on continuity, differentiability, limits, derivatives, composition, and logarithmic/trigonometric forms. Problems 11 to 14 provide mixed tasks: simplifying expressions, evaluating limits, determining domains, applying the intermediate value theorem, and finding tangent lines and implicit differentiation values.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/university-of-central-florida-mock-test-1-calculus-i-mac2311/466339/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/university-of-central-florida-mock-test-1-calculus-i-mac2311/466339.png","ImageObject",300,407,{"name":42,"@type":43},"Mabel","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-31","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",14,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What are the allowed aids during this Calculus I mock test?","Question",{"text":63,"@type":64},"No calculators, cell phones, books, or notes are allowed.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What is required for full credit on this exam?",{"text":68,"@type":64},"Complete work must be shown for full credit.",{"name":70,"@type":61,"acceptedAnswer":71},"How are the points allocated for the listed problems 11 to 14?",{"text":72,"@type":64},"Each of Problems 11, 12, 13, and 14 is worth 10 points, for a total of 40 points.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},466339,1791101721,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,120,123,127],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},8,"Research & Report",30,"research-report",{"id":116,"doc_module":4,"doc_module_name":25,"category_name":117,"show_sort_weight":118,"slug":119},9,"Religion & Spirituality",20,"religion-spirituality",{"id":118,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":118,"slug":122},"World Cup","world-cup",{"id":124,"doc_module":4,"doc_module_name":25,"category_name":125,"show_sort_weight":124,"slug":126},10,"Lifestyle","lifestyle",{"id":128,"doc_module":4,"doc_module_name":25,"category_name":129,"show_sort_weight":96,"slug":130},19,"General","general",{"code":4,"msg":82,"data":132},{"doc_id":79,"user_id":133,"nickname":42,"user_avatar":134,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":106,"language":140,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":12,"update_tm":144,"read_time":145},7971474920318,"https://ap-avatar.wpscdn.com/avatar/74000ee537e6b0ca360?x-image-process=image/resize,m_fixed,w_180,h_180&k=1788430171632181674","University of Central Florida  \nMOCK Test 1  \nCalculus I MAC2311 (Sections 22 to 30)  \nDuration: 1 hour  \nExaminer: Alexandru Tamasan  \nAids: No calculators, cell-phones, books, or notes are allowed.  \nYour test will be formatted like this. However, the content will be different. Practice on your own to gauge your knowledge  \nNAME (Please Print):    \nNID:    \nAnswer questions 1 to 10 on the SCANTRON sheer. Insert your answers to Problems 11, 12, 13, and 14 in the space provided. The last for problems are equally weighted.  \nUse both sides if needed. Complete work must be shown for full credit.  \n\n| Problem | Points | Score |\n| --- | --- | --- |\n| 11 | 10 |  |\n| 12 | 10 |  |\n| 13 | 10 |  |\n| 14 | 10 |  |\n| Total | 40 |  |\n\nAnswer the following question on the SCANTRON sheet provided (don’t forget your Name and NID) by filling in the corresponding bullet.  \n1. If a function is continuous at the point, then it must be differentiable there.  \nA: The statement is true.  \nB: The statement is false.  \n2. If f is continuous at x = 5 and f (5) = 2, then limx→2 f (4x2 − 11) is equal to  \nA: 5  \nB: 2  \nC: f (89)  \n3. If f is differentiable then ~~d~~dxf ( √3 x) equals A: f′(x)  \n3 √3 x2 .  \nB: f′( √3 x)  \n3 √3 x2 .  \nC: f′( √3 x) √3 x  \nD: f′( √3 x)  \n4. Find the statement below which is false.  \nA: The function 2x makes sense for all numbers in ( −∞ ; ∞ )  \nB: The function log2 (x) makes sense for all numbers in (−∞ ; ∞ )  \nC: The function f (x) = 3x is increasing.  \nD: The function log ~~1~~2 (x) is decreasing.  \n5. Let  \n􀀸 √ −x ; x \u003C 0 f (x) = 􀀼 x2 ; 0 ≤ x \u003C 2  \n􀀺 10 − 3x; x ≥ 2  \nFind the statements which are false:  \nA. f is not defined for x \u003C 0.  \nB. f is continuous at x = 0 .  \nC. f is continuous at x = 2 .  \n6. The left sided limit limh→0= ~~sin~~h~~2~~2~~h~~  \nA. equals 2  \nB. equals ∞  \nC. equals −∞  \n7. Let f(x) = √x2 + 1 and g(x) = |x| . Find the statements which are false.  \nA. f is differentiable in ( −∞ ; ∞ )  \nB. g is differentiable in ( −∞ ; ∞ )  \nC. The composition function f ◦ g is differentiable everywhere.  \nB. The composition function g ◦ f is differentiable everywhere  \n8. If f and g are differentiable then ~~d~~dx (f(x)g (x)) = f′(x)g′(x) is  \nA. TRUE  \nB. FALSE  \n9. Let f (x) = ln(2sin x ) . Then f′(x) is  \nA. (sin x) ln 2  \nB. (cos x) ln 2  \nC. 2si~~1~~nx (ln 2) cos x  \n10. Let f (x) = (x2 + 1) 10 . Find the false statement below:  \nA. f is a polynomial of degree 20 .  \nB. ~~d~~dx1919 f (x) = 0 for all x.  \nC. ~~d~~dx2020 f (x) is constant.  \nD. ~~d~~dxnn f (x) = 0 for all x if n ≥ 21.  \n11. a) Simplify the fraction to compute limx→3 2~~x~~2x2−~~9~~6x .  \nb) Use the continuity of arctan and your answer above to find limx→3 arctan ( 2~~x~~2x2−~~9~~6x ) .  \nc) Simplify the function to compute the (left sided)  \nx2 − 9  \nlim ~~ ~~  \nx→3 − (2x2 − 6x)2  \nd) Does the limit below exist? If yes compute it, if no, justify why not.  \nx− arctan ( ~~ ~~(2xx22~~ ~~96x)2 ) :  \n12. Let f (x) = ex − 2 + 2x.  \na) Write the (largest) domain of f as an interval.  \nb) Calculate:  \nf (0) =  \nf (1) =  \nc) Use the intermediate value theorem and justify that ex = 2 − 2x has at least one solution.  \nd) Can ex = 2 − 2x have more than one solution? You may sketch the graphs of y = ex and of y = 2 − 2x on the system system of coordinates to justify your answer.  \n13. Find the equation of the tangent line to the curve y = √4 + sin x at the point P (0 ; 2) .  \na) Check that the point P (0 ; 2) is on the curve.  \nb) Find the formula for the derivative y′(x) .  \nc) Find the slope of the tangent line to the curve at the point P (0 ; 2)  \nd) Find the equation of the tangent line.  \n14. Consider y given implicitly in terms of x by the equation xy + ey = e.  \n(i) Find y(0) .  \n(ii) Use implicit differentiation to find a relation between x, y (x) and y′(x) .  \n(iii) What is y′(0)?  \n(iv) Differentiation once more your formula in (ii), and use the values you found for y(0) and y′(0) to find y′′(0) .","cbCaitTNlwNgGD5P","https://ap.wps.com/l/cbCaitTNlwNgGD5P","pdf",36564,"English","# Instructions\n## Answer sheet and rules\n# Multiple-Choice Questions (1-10)\n## True/false and limit/derivative concepts\n# Problems (11-14)\n## Limits, domains, intermediate value theorem, tangent line, implicit differentiation","[{\"question\":\"What are the allowed aids during this Calculus I mock test?\",\"answer\":\"No calculators, cell phones, books, or notes are allowed.\"},{\"question\":\"What is required for full credit on this exam?\",\"answer\":\"Complete work must be shown for full credit.\"},{\"question\":\"How are the points allocated for the listed problems 11 to 14?\",\"answer\":\"Each of Problems 11, 12, 13, and 14 is worth 10 points, for a total of 40 points.\"}]","University of Central Florida - MOCK Test 1 - Calculus I MAC2311 | PDF",1790771087,18]