10 20. If has two continuous derivatives on [5, 10], then [ f* (x) dx = a) f" (10) - f*(5) d) f'(5) -S'(10) b) f' (10) - f'(5) e) f*(10)- f" (5) c) f (10) - f (5)21. If [ f (x) dx = -17 and [ f (x) dx = -4, what is the value of ] f (x) dx ? a) -21 b) -13 c) 0 d) 13 e) 21 22. Let f be a function with a first derivative given by f'(x) = x (x-4)(x-7). Then fhas a relative maximum at x = a) 0 only b) 4 only c) 7 only d) 4 and 7 only e) 0, 4, and 7 23. The graph of y = g'(x) on the interval 0 x 15 is shown below. The numbers in the regions give the area of the region. If g (0) = 8, what is g (15)? 10 3 1 2 4 6 7 9 10 11 12 13 14 is 15 a) -2 b) 2 c) 6 d) 28 e) 3624. If f(x) =2x, g(x) = x' , and h(x) =2" , which of the following limits is equal to zero? a) lim 8(x) b) lim 8(x) h(x) rah(x) c) lim h (x ) If(x) d) lim wg(x) e) lim h(x) f(x)g(x) 25. An object moves in a straight line with acceleration a (1) = Ji If the initial sec- velocity of the object is -72_fi -, at what time / does the particle change sec direction? a) 1 = V6 b) 1=6 0) 1=6V2 d) 1=36 e) Never changes direction 26. Which of the following functions satisfies 0