(E) does not exist
- 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 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.
- If tan x and y = 3 when x = 0, then, when
(A)
(B) ln 3
(C)
(D)
(E) 6
(A)
(B)
(C)
(D)