Barrons AP Calculus - David Bock

(dmanu) #1
(A) 7

(B) 82

(C) 124

(D) 141

(E) 164


  1. The first-quandrant area inside the rose r = 3 sin 2θ is approximately
    (A) 0.59
    (B) 1.50
    (C) 1.77
    (D) 3.00
    (E) 3.53


Section II

Part A TIME: 30 MINUTES

2 PROBLEMS

A graphing calculator is required for some of these problems.
See instructions.



  1. (a) For what positive values of x does converge?
    (b) How many terms are needed to estimate f (0.5) to within 0.01?
    (c) Would an estimate for f (−0.5) using the same number of terms be more accurate, less accurate,
    or the same? Explain.

  2. An object in motion along the x-axis has velocity v(t) = (t + et )sin t^2 for 1 ≤ t ≤ 3.
    (a) Sketch the graph of velocity as a function of time in the window [1,3] × [−15,20].

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