(B)
(C)
(D)
(A)
(B)
(C)
(D)
(A)
(B)
(C)
(D)
(A)
(B)
(C)
(D)
I.
II.
III.
(A)
(B)
(C)
(D)
Suppose the graph of f is both increasing and concave up on a ≤ x ≤ b.
Then, using the same number of subdivisions, and with L, R, M, and T
denoting, respectively, left, right, midpoint, and trapezoid sums, it
follows that
R ≤ T ≤ M ≤ L
L ≤ T ≤ M ≤ R
R ≤ M ≤ T ≤ L
L ≤ M ≤ T ≤ R
is
+ ∞
0
nonexistent
The only function that does not satisfy the Mean Value Theorem on the
interval specified is
f(x) = x^2 − 2x on [−3, 1]
on [−1, 2]
on [−1, 1]
Suppose f ′(x) = x(x − 2)^2 (x + 3). Which of the following is (are) true?
f has a local maximum at x = −3.
f has a local minimum at x = 0.
f has neither a local maximum nor a local minimum at x = 2.
I only
II only
I and II only
I, II, and III
