By Shirley O. Hockett, David Bock

ISBN-10: 0764143247

ISBN-13: 9780764143243

Either Calculus AB and Calculus BC are coated during this entire AP try out coaching handbook. potential try takers will locate 4 perform tests in Calculus AB and 4 extra in Calculus BC, with all questions replied and suggestions defined. The handbook additionally offers an in depth 10-chapter assessment protecting issues for either tests. The authors additionally supply an summary of the AP Calculus checks, including recommendation to scholars on making top use in their graphing calculators.

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Then du = dx and v = ex, and ( xe 15. (B) x − ∫ e x dx ) = ( xe 1 0 x − ex The arc length is given by the integral Ύ 1 0 ) 1 0 = ( e − e ) − ( 0 − 1) . 1 + ( 3 x ) dx which is 1 2 1 1 1/ 2 3/ 2 1 + 9 x ) ( 9dx ) = i (1 + 9 x ) ( ∫ 9 3 9 0 16. (E) Separating variables yields 1 2 2 1 0 = ( ) 2 103 / 2 − 1 . 27 dx = k dt . Integrating gives ln x = kt ϩ C. Since x x = 2 when t = 0, ln 2 = C. Then ln x = kt + ln 2. Using x = 6 when t = 1, it 6 follows that ln 6 = k + ln 2, so k = ln 6 − ln 2 = ln . 2 Diagnostic Test Calculus BC k 1 k lim π ∫ e −2 x dx = lim ⎛ − π ∫ e −2 x ( −2dx )⎞ ⎠ 0 0 x →∞ ⎝ 2 k →∞ 7_4324_APCalc_02DiagnosticBC 58 10/4/09 1:38 PM Page 58 AP Calculus 17.

B) When is the object moving to the left? (c) Give one value of t from the interval in part (b) at which the speed of the object is increasing. (d) At t = 1 this object’s position was x = 10. Where is the object when t = 3? 7_3679_APCalc_02DiagnosticBC 10/3/08 4:19 PM Page 53 Diagnostic Test Calculus BC 53 5' 24" 5' 60° 12" 12" Note: Scales are different on the three figures. 3. The sides of a watering trough are made by folding a sheet of metal 24 inches wide and 5 feet long at an angle of 60°, as shown in the figure above.

592 2 2 1 Alternatively, use shells*; then ΔV = 2πRHT = 2πx(2 – ex) Δx. Here, the upper limit of integration is the value of x for which ex = 2, namely, ln 2. 592 0 *No question requiring the use of the shells method will appear on the AP exam. x 10/30/09 10:48 AM Page 35 Diagnostic Test Calculus AB 35. M. is 360 minutes. The total number of people is estimated as the sum of the areas of six trapezoids: T = 360 180 36. ( ) ( ) ( ) ( ) ( ) ( ) 5+ 2 2+3 8 + 10 3+8 + 120 + 240 + 300 + 2 2 2 2 10 + 16 16 + 5 + 240 = 10,440 2 2 (C) a = dv = 6t, so v = 3t3 ϩ c.

### AP Calculus by Shirley O. Hockett, David Bock

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