32. A particle is moving along the y-axis. The position of the particle at time : 2 0 is given by y(t) = y' - 4y + 7. Which of the following expressions gives the total distance that the particle traveled in the first four seconds? (A) 4y ? + 7 dy - y' - 4y' + 7 dy (B) ( 3 y' _ 432 + 7 dy + ( 8 y) - 4y' + 7 dy (C) Say" - 8ydy - fi By - 8ydy (D) -33)2 - 8y dy + 8 3y - 8ydy 33. If f(x) dx = 10 and ff(x)dx =23, what is f f(x) dx ? (A) -33 (B) -13 (C) 13 (D) 3334. If f'( x) = 3sin x + 2cosx and f(0) = 5, find f(x). (A) -3cos x + 2sin x + 5 (B) -3cos x + 2sin x + 8 (C) 3cos x - 2sin x + 2 (D) 3cos x - 2sin x + 535. The graph of f is shown below. Which of the following is true about the function at x = 5 ? 5+ 4- 3- 2+ -2 2 6 2- (A) f'(5) is undefined. (B) /(5) is undefined. (C) S'(5)=0 (D) None of the above is true