Transcription of AP Calculus BC - College Board
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AP Calculus BC - College Board
AP Calculus BCScoring Guidelines 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: Central is the official online home for the AP Program: Calculus AB/ Calculus BC 2017 SCORING GUIDELINES 2017 The College Board . Visit the College Board on the Web: Question 1 1 : units in parts (a), (c), and (d) (a) ( )() ( ) () ( ) ()()10020052210V552 cubic foeetlumeAhdhAAA + + = + + == { 1 : left Riemann sum2 : 1 : approximation (b) The approximation in part (a) is an overestimate because a left Riemann sum is used and A is decreasing. 1 : overestimate with reason (c) ( ) The volume is cubic feet. { 1 : integral2 : 1 : answer (d) Using the model, ( )( ) ( )( )5555 = = = = When 5,h= the volume of water is changing at a rate of cubic feet per minute.}}
lume A h dh ≈ −⋅ + −⋅ + −⋅ ... The series does not converge absolutely because the harmonic series diverges. The series alternates with terms that decrease in magnitude to 0, and therefore the series converges conditionally. 2 : converges conditionally with reason
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