Transcription of AP Calculus AB - College Board
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AP Calculus AB - College Board
2017 AP Calculus AB Free-Response Questions 2017 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: AP Central is the official online home for the AP Program: fh = () e + h 2017 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. A tank has a height of 10 feet. The area of the horizontal cross section of the tank at height hfeet is given bythe function A, where Ah()is measured in square feet. The function Ais continuous and decreases as hincreases. Selected values for Ah()are given in the table above.(a) Use a left Riemann sum with the three subintervals indicated by the data in the table to approximate thevolume of the tank. Indicate units of measure. (b) Does the approximation in part (a) overestimate or underestimate the volume of the tank?
50.3 fh = 0.2 h () e + h 2017 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.
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