AP微积分AB 2019年真题 附答案和评分标准 AP Calculus AB 2019 Real Exam with Answers and Scoring Guideline.pdfVIP
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AP微积分AB 2019年真题 附答案和评分标准 AP Calculus AB 2019 Real Exam with Answers and Scoring Guideline
2019
®
AP Calculus AB
Free-Response Questions
© 2019 The College Board. College Board, Advanced Placement, AP, AP Central, and the acorn logo are
registered trademarks of the College Board. Visit the College Board on the web: collegeboard.org.
AP Central is the official online home for the AP Program: apcentral.collegeboard.org.
2019 AP® CALCULUS AB FREE-RESPONSE QUESTIONS
CALCULUS AB
SECTION II, Part A
Time—30 minutes
Number of questions—2
A GRAPHING CALCULATOR IS REQUIRED FOR THESE QUESTIONS.
p t
1. Fish enter a lake at a rate modeled by the function E given by E()t 20 + 15 sin . Fish leave the lake at
( )
6
2
a rate modeled by the function L given by L()t 4 =+20.1t . Both E()t and L()t are measured in fish per
hour, and t is measured in hours since midnight (t 0).
(a) How many fish enter the lake over the 5-hour period from midnight (t 0) to 5 A.M. (t 5) ? Give your
answer to the nearest whole number.
(b) What is the average number of fish that leave the lake per hour over the 5-hour period from
midnight (t 0) to 5 A.M. (t 5) ?
(c) At what time t, for 0 £ t £ 8, is the greatest number of fish in the lake? Justify your answer.
(d) Is the rate of change in the number of fish in the lake increasing or decreasing at 5 A.M. (t 5) ? Explain
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