Question

8. x | 0 | 0.5 | 1.0 | 1.5 | 2.0 f(x) | 3 | 3 | 5 | 8 | 13 A table of values for a continuous function f is shown above. If four equal subintervals of [0, 2] are used, which of the following is the trapezoidal approximation of ?[0 to 2] f(x)dx? (A) 8 (B) 12 (C) 16 (D) 24 (E) 32 9. Which of the following are antiderivatives of f(x) = sin x cos x? I. F(x) = (sin^2 x) / 2 II. F(x) = (cos^2 x) / 2 III. F(x) = -cos(2x) / 4 (A) I only (B) II only (C) III only (D) I and III only (E) II and III only

          8.
x | 0 | 0.5 | 1.0 | 1.5 | 2.0
f(x) | 3 | 3 | 5 | 8 | 13
A table of values for a continuous function f is shown above. If four equal subintervals of [0, 2] are used, which of the following is the trapezoidal approximation of ?[0 to 2] f(x)dx?
(A) 8 (B) 12 (C) 16 (D) 24 (E) 32
9.
Which of the following are antiderivatives of f(x) = sin x cos x?
I. F(x) = (sin^2 x) / 2
II. F(x) = (cos^2 x) / 2
III. F(x) = -cos(2x) / 4
(A) I only
(B) II only
(C) III only
(D) I and III only
(E) II and III only

8.
x | 0 | 0.5 | 1.0 | 1.5 | 2.0
f(x) | 3 | 3 | 5 | 8 | 13
A table of values for a continuous function f is shown above. If four equal subintervals of [0, 2] are used, which of the following is the trapezoidal approximation of ?[0 to 2] f(x)dx?
(A) 8 (B) 12 (C) 16 (D) 24 (E) 32
9.
Which of the following are antiderivatives of f(x) = sin x cos x?
I. F(x) = (sin^2 x) / 2
II. F(x) = (cos^2 x) / 2
III. F(x) = -cos(2x) / 4
(A) I only
(B) II only
(C) III only
(D) I and III only
(E) II and III only

Added by Antonio J.

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