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The materials include scantron completion instructions, honor pledge text, and an exam overview specifying point distribution and time limits. The solution set covers topics such as Taylor series and remainder estimates, Taylor polynomials, parametric curves and tangent lines, polar coordinates (including area and interval of convergence), and evaluation of limits. Designed to support graded submission and review after the exam.",{"@graph":69,"@context":123},[70,84,106],{"@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/mac-2312-practice-exam-3-solutions-answers/394034/",{"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/mac-2312-practice-exam-3-solutions-answers/394034.png","ImageObject",300,407,{"name":92,"@type":93},"Theodore","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-08","2026-09-26",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",14,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"How should you fill out the scantron for this exam?","Question",{"text":113,"@type":114},"Sign the back in ink, then on the front write and encode your name, UFID, and the four-digit section number. Use the special codes to encode the test ID number and fill in the test form code at the top right.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What is the structure of the exam and how many points are available?",{"text":118,"@type":114},"The exam has two parts: a 10-question multiple-choice section worth 50 points and a 4-question free-response section worth 55 points. The total points available are 105, but grading is out of 100. You have 100 minutes to complete it.",{"name":120,"@type":111,"acceptedAnswer":121},"What topics are covered in the solution pages?",{"text":122,"@type":114},"The solutions address Taylor remainder/error estimates and Taylor polynomials, series summation and convergence, tangent lines for parametric curves, ordering and graph matching for polar curves, area problems in polar coordinates, ROC/IOC for power series, and limit/functional computations.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},394034,1790633529,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":140,"language":141,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":142,"faqs":143,"seo_title":144,"seo_description":67,"update_tm":145,"read_time":146,"preview_page_count":4},7971461740886,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","Name:                                                        SoluionS  \nSection\\#:           \nTA Name:             \nUFID:                                                          \nA:Sign the back of your scantron sheet in ink.  \nB:On the indicated spaces on the front of your scantron,in pencil,write and encode:  \n1.Your name (last name,first initial,middle initial)  \n2.Your UFID Number  \n3.Your 4-digit Section Number  \nC:Under“special codes”,code in the test ID number 3,1:  \n12 ·4567890  \n● 234567890  \nD.At the top right of your scantron,for“Test Form Code”,encode A.  \n● B C D E  \nE:Some basic information about the exam:  \n1.This exam has two parts:a 10-question multiple choice section worth 50 points,and a4-question free response section worth 55 points.The entire exam has 105 points available foryou to earn,but will only be graded out of 100 points.  \n2.You will have 100 minutes to take the exam.  \n3.You may write on your exam.  \n4.Raise your hand if you need more scratch paper or if you have a problem with the test.DO NOT LEAVE YOUR SEAT UNLESS YOU ARE FINISHED WITH THE EXAM.  \nF:KEEP YOUR SCANTRON COVERED AT ALL TIMES  \nG:When you are finished:  \n1.Before turning in your test,check for transcribing errors.Any mistakes you leave in arethere to stay  \n2.Turn in your scantron and the free-response portion of your exam to your TA,or the  \nproctor designated as your TA.Be prepared to show your UF-ID card.  \n3.Solutions to the exam will be posted on Canvas after the exam is over.  \nThe Honor Pledge:“On my honor,I have neither given nor received unauthorized aid doing thisexam.”  \nSignature:                                                                              \nCommon Maclaurin Series and Formulas  \nApril 11,2022  \n,10C=(-∞c,c)  \n,IOC=(-1,1)  \nTaylor Rcmainder Estimate:  \nwhcre |f(N+1)(c)≤M for any cin between x and a.  \nTaylor Coefficients:  \n4/14/2022  \nPart I:Multiple Choice There are 10 questions on this portion of the exam.Fill in the answers tothese questions on the provided scantron sheet.Only answers on the scantron willbe graded.Eachproblem is worth 5 points,for a total of 50 points on this portion of the exam.  \n1.Let f(π)=sin c.Use the Taylor Remainder Estimate to find the maximum error of using the thirddegree Taylor polynomial of f(x)centered atto estimate sin(1).Use the fact that |cos x|≤1and |sinx|≤1 for all x.S(x)=Sinx  \nS(x)=Cosx  \n(A)  \nS'(x)=-Sin×  \n(B)  \nS\"(x)=-Cosx  \n(C)  \nSI4)(×)=Sin×  \n①  \n1s14)×)1=1sin×)  \n2.Which of the following is the Taylor series for e²Tcentered at a=3?  \n4/14/2022  \n3.Find the sum of the seriesB)e-5(A)e⁵  \n(C)In(4)(D)In(5)(E)The series diverges.  \n4.Which of the following is the tangent line to the parametric curve x(t)=sin²(t),y(t)=cos³(t)atthe point(0,1)?  \n(A)x(t)=-(3/2)t,y(t)=t+1  \n(B)x(t)=-(3/2)t+1,y(t)=t  \n(C)x(t)=t+1,y(t)=-(3/2)t  \n①x(t)=t,y(t)=-(3/2)t+1  \n(E)None of the above.  \n5.Consider the following four points in polar coordinates:  \n(P)  \n(Q)  \n(R)  \n(S)  \nArrange these points in order from left-most point in the ry-plane to the rightmost point in the ry-plane.  \n④R,S,Q,P  \n(B)P,Q,S,R  \nQ:  X:rcas G=  4.cos o=4.1=4  \n(C)P,R,S,Q  \n(D)S,Q,P,R  \n=6·cos 2=G·%=3S:  X=rcos G(E)R,P,Q,S  \n二)  \n6.Which integral represents the area enclosed within the circle r=3sin(θ)but outside the cartioidr=1+sin(θ)?  \n(C)  \n(D)  \n(E)None of the above.  \n3sinG=1HSin G   2sinG=1  \nd interval of convergence(ROC and IOC)for the power series(A)ROC=2,IOC=(-1,1)  \n(B)ROC=2,IOC=(2,4)  \n(C)ROC=1,IOC=(-1,1)  \n(D)ROC=1,IOC=(2,4)⑥ROC=1,IOC=(2,4)  \n8  \n.Find g(90)(0).④  \n(B)(C)(D)(E)0  \n二)  \n0=6   7ISn=90=  \n   \n   \n# 9.Compute the limit\n\nIn order from left to right,match each polar curve with its graph.  \n④r=1-2cos(9),r=cos(30),=sin(20)  \n(B)r=1-2cos(θ),r=sin(20),r=cos(30)  \n(C)r=sin(26),r=1-2cos(θ),r=cos(30)  \n(D)r=sin(20),r=cos(30),r=1-2cos(θ)  \n(E)r=cos(30),r=1-2cos(θ),r=sin(20)  \n=1-2cosG is a ingccA=cos (3e)is a  CurveC=Sin(2G)is 9 Cufve  \nName:                                                 ","cbCaictRjlbvo6bs","https://ap.wps.com/l/cbCaictRjlbvo6bs","pdf",2103897,11,"English","# Scantron completion instructions\n# Exam overview (structure, time, grading notes)\n# Common Maclaurin series and formulas\n# Part I: Multiple Choice\n## Taylor series and remainder/error estimation\n## Taylor series for e^2x and series summation\n## Tangent line for parametric curve\n## Polar curve ordering and graph matching\n## Integral/area and ROC/IOC\n## Limit/computations\n# Part II: Free Response\n## Parametric curve graphing\n## Taylor polynomial approximation for square root\n## Polar curve area enclosed","[{\"question\":\"How should you fill out the scantron for this exam?\",\"answer\":\"Sign the back in ink, then on the front write and encode your name, UFID, and the four-digit section number. Use the special codes to encode the test ID number and fill in the test form code at the top right.\"},{\"question\":\"What is the structure of the exam and how many points are available?\",\"answer\":\"The exam has two parts: a 10-question multiple-choice section worth 50 points and a 4-question free-response section worth 55 points. The total points available are 105, but grading is out of 100. You have 100 minutes to complete it.\"},{\"question\":\"What topics are covered in the solution pages?\",\"answer\":\"The solutions address Taylor remainder/error estimates and Taylor polynomials, series summation and convergence, tangent lines for parametric curves, ordering and graph matching for polar curves, area problems in polar coordinates, ROC/IOC for power series, and limit/functional computations.\"}]","MAC 2312 Practice Exam 3 Solutions - Answers | PDF",1790397834,28]