[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-451869-105":59,"doc-detail-451869-en":131},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","ap-calculus-bc-suggested-review-exercises-summer-2025","AP Calculus BC - Suggested Review Exercises (Summer 2025)","","Summer 2025 Suggested Review Exercises for students entering AP Calculus BC from Oak Hall School. The document provides practice questions for the AP Calculus AB exam Section I, Version 1, organized into multiple-choice Part A and Part B with calculator restrictions. It includes guidance on domains, inverse trigonometric notation, and time management, followed by problems covering integrals, limits, continuity parameters, derivatives, tangents, concavity, motion word problems, and applications like trapezoidal approximation and areas.",{"@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/ap-calculus-bc-suggested-review-exercises-summer-2025/451869/",{"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/ap-calculus-bc-suggested-review-exercises-summer-2025/451869.png","ImageObject",300,407,{"name":92,"@type":93},"Lucas Martin","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-19","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",11,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"How many multiple-choice questions are in Section I, and how is it divided?","Question",{"text":113,"@type":114},"Section I contains 45 multiple-choice questions divided into Part A with 28 questions and Part B with 17 questions.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"When is a graphing calculator required?",{"text":118,"@type":114},"Part A must be solved without a calculator. Part B includes questions that require the use of a graphing calculator.",{"name":120,"@type":111,"acceptedAnswer":121},"What topics do the practice questions cover?",{"text":122,"@type":114},"The questions cover integrals and derivatives, limits, continuity with parameters, tangent line equations, concavity and inflection points, motion/velocity word problems, trapezoidal approximation, and area between curves.","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},451869,1790766323,{"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},8796095360427,"https://ap-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d","OAK HALL SCHOOL  \nSummer 2025  \nSuggested Review Exercises for students entering  \nAP Calculus BC  \nA message fromthe Math Department  \nPractice Questions for AP Calculus AB Exam: Section I – Version 1  \nSection I  \nThis section contains 45 multiple-choice questions and contains two parts: Part A and Part B. Part A has 28 questions that must be solved without a calculator. Part B has 17 questions, including some questions that require the use of a graphing calculator.  \nPart A Multiple-Choice  \nYou may not use a calculator on this portion of the exam.  \nDirections: Solve each problem in the provided space. Then choose the best option from among the choices given. Be efficient with the use of your time.  \nThroughout this exam:  \n(1) The domain of each function f is the set of all real numbers for which f ( x ) is defined. If the domain of a particular function differs from this, it will be specified in the problem.  \n(2) For trigonometric functions, the inverse may be represented with “ −1 ” or “arc”. For example, the inverse cosine function may be represented as cos−1 x or arccos x .  \n1. ∫ sin ⎛⎜⎝ ~~ ~~14 x ⎟dx =  \n⎛ 1 ⎞  \n(A) − cos⎜⎝  4 x ⎠⎟ + C (B) −4cos⎛⎜⎝ ~~ ~~14 x ⎟ + C  \n⎛ 1 ⎞(C) 4cos ⎜⎝4 x ⎠⎟ + C  \n1 ⎛ 1 ⎞(D) − ~~ ~~4~~ cos ⎜~~⎝~~ ~~4 x ⎠⎟ + C  \n(E) 14~~ cos ~~⎛~~⎜~~⎝~~ ~~14 x ⎟ + C  \nPractice Questions for AP Calculus AB Exam: Section I  \nx2 − 3x + 2  \n2. Find lim ~~ ~~ .  \nx→1 x −1  \n(A) 2  \n(B) 1  \n(C) 0  \n(D) −1  \n(E) Does not exist  \n3. For what value(s) ofk, if any, is f (x) = ⎨⎧ k 2 − x 2 if x \u003C 2 continuous on ( −∞, ∞ ) ?  \n⎩2(x + k) if x ≥ 2  \n(A) −4, −2 (B) 2 (C) 4  \n(D) −2, 4  \n(E) Does not exist  \n4. If f  \n(A)  \n(B)  \n(C)  \n(x) = 2x 8x −1, then f '(x) is x 8x −1  \n8x 8x −1  \n2 8x −1 + 8x  \n(D) 2 8x −1 +  \n8x  \n8x −1  \n(E) 2 +  \n8x  \n8x −1  \nPractice Questions for AP Calculus AB Exam: Section I – Version 1  \n5. ∫ 1 +88x dx =  \n(A) 8x + ln8x+ C  \n(B) ln 1 + 8x + C  \n(C) ln 8x + C  \n1  \n(D) ln 1 + 8x + C  \n8  \n1  \n(E) − ln 1 + 8x + C  \n8  \n6. A particle moves along the x-axis so that at any time t ≥ 0 , its velocity is given by  \nπ 7  \nv (t) = cos(4t) . If the position of the particle at time t = is x = , what is the particle’s  \n8 4  \nposition at time t = 0 ?  \n2  \n(A)  \n3  \n5  \n(B)  \n4  \n 1  \n(C) −  \n2  \n(D) 0  \n3  \n(E)  \n2  \nPractice Questions for AP Calculus AB Exam: Section I  \n7. The function f is continuous on the closed interval [0,9] and has the values given in the table below.  \n\n| x | 0 | 3 | 6 | 9 |\n| --- | --- | --- | --- | --- |\n| f(x) | 8 | 15 | k | 12 |\n\n9  \nThe trapezoidal approximation for ∫ f (x)dx found with three subintervals of equal length is  \n0  \n90. What is the value ofk?(A) 2  \n(B) 5  \n(C) 7  \n(D) 11  \n(E) 17  \n8. ~~ ~~ddx~~ ~~ ( sin 3 ( x 2 )) =  \n(A) 6x cos2 ( 2x)  \n(B) 6x sin2 ( x 2 ) cos ( x 2 )  \n(C) 2x sin 3 (x2 ) + 3x2 sin 2 (2x)  \n(D) 6x sin2 ( x2 )  \n(E) 3cos2 ( 2x)  \n9. A colony of bacteria starts with 500 and grows at a rate proportional to its size. After 3 hours there are 8000 bacteria. When will the population reach 25,000?  \n(A) 3.87267 hours  \n(B) 4.01239 hours  \n(C) 4.23289 hours  \n(D) 4.98778 hours  \n(E) 5.43927 hours  \nPractice Questions for AP Calculus AB Exam: Section I – Version 1  \nx4 − 27  \n10. Given f (x) = x2 , for what values of x is the graph of f concave downwards?  \n(A) −3 \u003C x \u003C 0  \n(B) 0 \u003C x \u003C 3  \n(C) 3 \u003C x \u003C ∞  \n(D) −3 \u003C x \u003C 0 and 0 \u003C x \u003C 3  \n(E) −∞ \u003C x \u003C −3 and 3 \u003C x \u003C ∞  \n11. Let f be defined by f (x) = x − 6 for all real numbers x. For what values of x is the function increasing?  \n(A) ( −∞, −6)  \n(B) ( −∞,6 )  \n(C) [−6,0)  \n(D) ( 0,6 )  \n(E) ( 6, ∞ )  \n12. Find an equation for the line tangent to the graph of f (x) = x − 7 at the point where x = 16 (A) y = 6x − 2  \n1 1 (B) y = x −  \n6 3  \n1 1  \n(C) y = x + 6 3  \n(D) y = −6x − 2  \n1 1 (E) y = − x +  \n6 3  \nPractice Questions for AP Calculus AB Exam: Section I  \n13. ddx~~ ~~ ( sin x cos ( 2x)) =  \n(A) cos(x) cos(2x) − 2sin(x)sin(2x)  \n(B) 2cos(x) cos(2x) − sin(x)sin(2x)  \n(C) cos(x) cos(2x) + 2sin(x","cbCaiozlEQ8BPRBt","https://ap.wps.com/l/cbCaiozlEQ8BPRBt","pdf",1302206,26,"English","# Practice Questions for AP Calculus AB Exam: Section I – Version 1\n## Section I Instructions\n## Part A Multiple-Choice\n## Part B Multiple-Choice\n## Practice Questions (1-21)","[{\"question\":\"How many multiple-choice questions are in Section I, and how is it divided?\",\"answer\":\"Section I contains 45 multiple-choice questions divided into Part A with 28 questions and Part B with 17 questions.\"},{\"question\":\"When is a graphing calculator required?\",\"answer\":\"Part A must be solved without a calculator. Part B includes questions that require the use of a graphing calculator.\"},{\"question\":\"What topics do the practice questions cover?\",\"answer\":\"The questions cover integrals and derivatives, limits, continuity with parameters, tangent line equations, concavity and inflection points, motion/velocity word problems, trapezoidal approximation, and area between curves.\"}]","AP Calculus BC - Suggested Review Exercises (Summer 2025) | PDF",1790736079,66]