Transcription of AP Calculus AB - AP Central
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2018AP Calculus ABFree-Response Questions 2018 The College Board. College Board, Advanced Placement Program, AP, AP Central , and the acorn logo are registered trademarks of the College Board. Visit the College Board on the Web: Central is the official online home for the AP Program: 2018 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. 1. People enter a line for an escalator at a rate modeled by the function r given by 37tt 44 1 for 0 t ()( ) 300rt()= 100 300 0 for t>300, where rt()is measured in people per second and t is measured in seconds. As people get on the escalator, they exit the line at a constant rate of person per second. There are 20 people in line at time t=0.
3. The graph of the continuous function . g, the derivative of the function . f, is shown above. The function . g . is. piecewise linear for . − 5 £< x . 3 , and . gx () =2 (−) x . 4. 2 . for 3 £ x . £6. (a) If . f ()1 = 3, what is the value of . f (−5)? (b) Evaluate . ∫. gx d …
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