Let f (x) be a continuous function such that f (1) and f' (x) - Vx3 + 6. What is the value of, f (5) ? (A) 11.446 (C) 24.672 (B) 13.446 (D) 26.672 7. Let f (x) be a continuous function such that and f'lx) - (A) 11.446 (C) 24.672 6. What is the value of f (5) ? (B) 13.446 (D) 26.672

Question

Mathematics

Liam Suarez

14 September, 16:14

Let f (x) be a continuous function such that f (1) and f' (x) - Vx3 + 6. What is the value of, f (5) ? (A) 11.446 (C) 24.672 (B) 13.446 (D) 26.672 7. Let f (x) be a continuous function such that and f'lx) - (A) 11.446 (C) 24.672 6. What is the value of f (5) ? (B) 13.446 (D) 26.672

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Answers (1)

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Sophie Barron · Answer 1

f (5) = 26.672 which is option D

Step-by-step explanation:

From question, f (1) = 2 and f' (x) = √ (x^3 + 6)

f (5) = f (1) + (5,1) ∫ f' (x) dx

Integrating using the boundary 5 and 1;

f (5) = 2 + (5,1) ∫√ (x^3 + 6) dx

f (5) = 2 + 24.672

So f (5) = 26.672