(D)
(E)
- equals
(A) 3 ln (e − 3)
(B) 1
(C)
(D)
(E) none of these
- 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
- If A = 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.
- The number of vertical tangents to the graph of y^2 = x − x^3 is
(A) 4
(B) 3
(C) 2
