Question

If f"(x) = 8 cos(x) - 9 sin(x) - 12, f'(0) = 24, f(0) = 2, then f(x) = A. 8 cos(x) - 9 sin(x) - 6x^2 + 15x - 6 B. -8 cos(x) + 9 sin(x) - 6x^2 - 7x + 32 C. 8 sin(x) + 9 cos(x) - 12x + 15 D. -8 cos(x) + 9 sin(x) - 12x^2 + 33x + 10 E. -8 cos(x) + 9 sin(x) - 6x^2 + 15x + 10

          If f"(x) = 8 cos(x) - 9 sin(x) - 12, f'(0) = 24, f(0) = 2, then f(x) =
A. 8 cos(x) - 9 sin(x) - 6x^2 + 15x - 6
B. -8 cos(x) + 9 sin(x) - 6x^2 - 7x + 32
C. 8 sin(x) + 9 cos(x) - 12x + 15
D. -8 cos(x) + 9 sin(x) - 12x^2 + 33x + 10
E. -8 cos(x) + 9 sin(x) - 6x^2 + 15x + 10

If f"(x) = 8 cos(x) - 9 sin(x) - 12, f'(0) = 24, f(0) = 2, then f(x) =
A. 8 cos(x) - 9 sin(x) - 6x^2 + 15x - 6
B. -8 cos(x) + 9 sin(x) - 6x^2 - 7x + 32
C. 8 sin(x) + 9 cos(x) - 12x + 15
D. -8 cos(x) + 9 sin(x) - 12x^2 + 33x + 10
E. -8 cos(x) + 9 sin(x) - 6x^2 + 15x + 10

Added by Kathy L.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

09/27/2022

Step 1

Step 1: Integrate f''(x) = 8cos(x) - 9sin(x) - 12 to get f'(x): f'(x) = ∫(8cos(x) - 9sin(x) - 12) dx + C f'(x) = 8sin(x) - 9cos(x) - 12x + C Show more…

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If f"(x) = 8 cos(x) - 9 sin(x) - 12, f'(0) = 24, f(0) = 2, then f(x) = A. 8 cos(x) - 9 sin(x) - 6x^2 + 15x - 6 B. -8 cos(x) + 9 sin(x) - 6x^2 - 7x + 32 C. 8 sin(x) + 9 cos(x) - 12x + 15 D. -8 cos(x) + 9 sin(x) - 12x^2 + 33x + 10 E. -8 cos(x) + 9 sin(x) - 6x^2 + 15x + 10