Barrons AP Calculus - David Bock

(dmanu) #1
(E) does not exist


  1. A differentiable function has the values shown in this table:


x 2.0 2.2 2.4 2.6 2.8 3.0

f (x) 1.39 1.73 2.10 2.48 2.88 3.30

Estimate f ′(2.1).
(A) 0.34
(B) 0.59
(C) 1.56
(D) 1.70
(E) 1.91


  1. If is approximated using Riemann sums and the same number of subdivisions, and if L,
    R, and T denote, respectively left, right, and trapezoid sums, then it follows that
    (A) R ≤ A ≤ T ≤ L
    (B) R ≤ T ≤ A ≤ L
    (C) L ≤ T ≤ A ≤ R
    (D) L ≤ A ≤ T ≤ R
    (E) None of these is true.

  2. If tan x and y = 3 when x = 0, then, when


(A)
(B) ln 3
(C)
(D)
(E) 6





(A)
(B)
(C)
(D)
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