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It also evaluates numerical approximation via the trapezoidal rule using tabulated function values, kinematics through integration of velocity to obtain positions, and analysis of function graph parameters from provided figures and slope fields with given initial conditions.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/multiple-choice-section-a-no-calculator/314724/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/multiple-choice-section-a-no-calculator/314724.png","ImageObject",300,407,{"name":92,"@type":93},"Violet","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-21","2026-09-20",true,{"@type":102,"interactionType":103,"userInteractionCount":52},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What restriction applies to this exam section?","Question",{"text":112,"@type":113},"A calculator may not be used on this part of the exam.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How is the domain of a function defined unless otherwise specified?",{"text":117,"@type":113},"The domain is assumed to be all real numbers x for which f(x) is a real number.",{"name":119,"@type":110,"acceptedAnswer":120},"How is the inverse of a trigonometric function typically written?",{"text":121,"@type":113},"It may be written using inverse function notation f⁻¹ or with the prefix “arc” (for example, sin⁻¹x = arcsin x).","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},314724,1790278477,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":52,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":139,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":145,"preview_page_count":4},4398048950312,"https://ap-avatar.wpscdn.com/avatar/400002538284de19e3c?_k=1778320343897328908","O  \nO  \nAAAA AAAA A A A A A A AA AAAAAAAAAAAAAAA  \nCALCULUS ABSECTION I,Part ATime—55 minutesNumber of questions—28  \nA CALCULATOR MAY NOT BE USED ON THIS PART OF THE EXAM.  \nDirections:Solve each of the following problems,using the available space for scratch work.After examiningthe form of the choices,decide which is the best ofthe choices given and place the letter of your choice in thecorresponding box on the student answer sheet.Do not spend too much time on any one problem.  \nIn this exam:  \n(1)Unless otherwise specified,the domain of a function fis assumed to be the set of all real numbers x for whichf(x)is a real number.  \n(2)The inverse of a trigonometric function f may be indicated using the inverse function notation f-¹or with theprefix“arc”(e.g.,sin⁻¹x=arcsin x).  \n# AAAAAAAA A A A A A AAAAA AAAAAAAAAAAAA\n\n1.  \n(A)-3sin(3x)+C(B)(C)  \n(D)sin(3x)+C(E)3sin(3x)+C  \n2.  \n(A)0  \n(B)  \n(C)1  \n(D)2  \n(E)nonexistent  \nA A A A A A A A A A A A A A A A A AAAAAAAAAAAAA A  \n3.The function f is defined above.For what value of k,if any,is f continuous at x=2?(A)1(B)2(C)3(D)7  \n(E)No value of k will make f continuous at x=2.  \n4.If f(x)=cos³(4x),then f'(x)=(A)3cos²(4x)(B)-12cos²(4x)sin(4x)(C)-3cos²(4x)sin(4x)(D)12cos²(4x)sin(4x)(E)-4sin³(4x)  \nAA AAAAAAAAAAAAA AA A AA AA AA A A A A A A A  \n5.The function f given by f(x)=2x³-3x²-12x has a relative minimum at x=  \n(A)-1  \n(B)0 (C)2  \n(E)  \n(D)  \n6.Let f be the function given by f(x)=(2x-1)(x+1).Which of the following is an equation for the linetangent to the graph of f at the point where x=1?  \n(A)y=21x+2  \n(B)y=21x-19  \n(C)y=11x-9  \n(D)y=10x+2  \n(E)y=10x-8  \nAAAAAA A A A A A A A A A A A A A AAAAAAAAAAAA  \n7.  \n(A)2e×+C(B)(C)ex+C(D)2√xex+C(E)  \n| x   | 0   | 2   | 4   | 6   |\n| --- | --- | --- | --- | --- |\n| f(x)   | 4   | k   | 8   | 12   |\n\n8.The function fis continuous on the closed interval [0,6]and has the values given in the table above.The trapezoidal approximation for)dx found with 3 subintervals of equal length is 52.Whatis the value of k?(A)2(B)6(C)7(D)10(E)14  \nA A A AA A AAA A AAA A AAAAA AAAAA A A AAA A A  \n9.A particle moves along the x-axis so that at any time t>0,its velocity is given by v(t)=4-6t².If theparticle is at position x=7 at time t=1,what is the position of the particle at time t=2?(A)-10(B)-5(C)-3(D)3(E)17  \n10.The function f is given byThe figure above shows a portion of the graph of f.Which of thefollowing could be the values of the constants a and b?(A)a=-3,b=2(B)a=2,b=-3(C)a=2,b=-2(D)a=3,b=-4(E)a=3,b=4  \nA AAAA AA A AA A A A A A AA A AA AA AAAAAAAAA  \n11.What is the slope of the line tangent to the graph ofat x=1?(A)(B)(C)(E)(D)  \nf(√e)=5,then f(e)=12.If(B)In 25(D)6(C)(A)2(E)25  \nA AAAAAA AA A A A A A AA A AA AA AA AAAAAAAA  \n13.  \n(A)  \n(B)  \n(C)  \n(D)  \n(E)  \n14.  \n(A)0  \n(B)1  \n(C)2e  \n(D)e²  \n(E)2e²  \nAAAAA A A A A A A A A A A A A A AAAAAAAAAAAAA  \n15.The slope field for a certain differential equation is shown above.Which of the following could be a solution tothe differential equation with the initial condition y(0)=1?(A)y=cosx(B)y=1-x²(C)y=eˣ(D)y=√1-x²(E)  \n(A)  \n(C)  \n(E)  \nA AAAAA AAA AA A A A A A A AAAAA AAA AAAAAA  \n16.If f'(x)=|x-2],which of the folowing could be the graph of y=f(x)?  \n(B)  \n(D)","cbCaikRJ9uksIokY","https://ap.wps.com/l/cbCaikRJ9uksIokY","pdf",3144113,17,"English","# Section A\n## Exam directions\n## Multiple-choice problems (1-16)","[{\"question\":\"What restriction applies to this exam section?\",\"answer\":\"A calculator may not be used on this part of the exam.\"},{\"question\":\"How is the domain of a function defined unless otherwise specified?\",\"answer\":\"The domain is assumed to be all real numbers x for which f(x) is a real number.\"},{\"question\":\"How is the inverse of a trigonometric function typically written?\",\"answer\":\"It may be written using inverse function notation f⁻¹ or with the prefix “arc” (for example, sin⁻¹x = arcsin x).\"}]","Multiple Choice - Section A - No Calculator | PDF",1789901691,43]