Name Date Period Calculus TEST: 6.4 to 8.1. NO Calculator permitted Part I: Multiple Choice: Put the correct CAPITAL letter (yes I was shouting) in the blank to the left of the question number. 1. If = = ysec- x and y =5 when x = 0, then y = d.x (A) etanx + 4 (B) elanx + 5 (C) Setanx (D) tan x + 5 (E) tan x + 5e* 2. Bacteria in a certain culture increase at a rate proportional to the number present. If the number of bacteria doubles in three hours, in how many hours will the number of bacteria triple? (A) 3 In 3 (B) 2 In 3 In 3 In 2 In 2 (C) In 2 (D) In 27 ( E ) In 3. If = ky and & is a nonzero constant, then y could be dt (A) 2etty (B) 2ek (C) + 3 (D) kry + 5 (E) 2 4. Shown at right is a slope field for which of the following differential equations? (A) = 1+x (B) dy =xty dx dx dx (D) dy X dx (E) dy = Iny dx dx 5 V4- (A): (B) (D) - In 2 2 (E) - In 2 dx 6. (A) 1 (B) N / W (C) 2 (D) 4 (E) 6 1+ x 7. A kangaroo moves in a straightine so that its velocity at time / 20 on a horizontal line is t - -. What is the total distance covered by the kangaroo between / = 0 and f = 2? (A) 1 (B) 7 (9) (D) 2 (E) 58. A particle moves along the x-axis with velocity given by v() = 3/2 +6t for time / 2 0. If the particle is at position x = 2 at time / = 0, what is the position of the particle at / = 1? (A) 4 (B) 6 (C) 9 (D) 11 (E) 12 9. The data for the acceleration a () of a car from 0 to 6 (sec) 2 6 seconds are given in the table at right. If the velocity at 1 =0 is 11 feet per second, the approximate value of the a(t) (ft/sec=) 5 2 8 3 velocity at / = 6, computed using a left-hand Riemann sum with three subintervals of equal length, is (A) 26 fu/sec (B) 30 ft/sec (C) 37 fi/sec (D) 39 ft/sec (E) 41 fi/sec 10. Let F(x) be an antiderivative of sin xcos x. If F * =0, then F(0)= (A) -1 (B) - (C)0 (D) - (E) 1 1 1. What is the average value of y = x- vx' +1 on the interval [0,2]? (A) (B) 26 3 (E) 24 12 . J ( x ] + h ) dx = 16 , then k = -2 (A) -12 (B) -4 (C)0 (D) 4 (E) 12