No Calculator lems 8 Be sure to show some work or give an explanation. Name Shannon Dineen Date 10/03/23 1. If the line tangent to the graph of the function f at the point (1,7) passes through the point (-2,-2), then f'(1) is A. -5 B. 1 C. 3 D. 7 E. Undefined 2. If f(3) = 8 and f'(3) = -4, then f(3.02) is approximately A. 7.88 B. 7.92 C. 7.98 D. 8.02 E. 8.08 3. A particle moves along the x-axis so that at time t 0 its position is given by x(t) = 2t3-21t2 + 72t 53. At what time t is the particle at rest? t = 1 only B. t = 3 only C. t= t = only D.1=3 and t= E. t 3 and t=4 0=243-2/++ 724-53 -2+2 (1-1)+19+(-1)-53(-1)=0 (4-12-19+ +53)=0 +-10 242-19++ 53=0 +21 4. What is the slope of the line tangent to the curve 3y - 2x2 = 6-2xy at the point (3,2)? A. 0 B. 49 C. D. 5. If f is a continuous function defined by f(x) = (x + bx,x5 (5 sin(x),x>5 then b = ? A-6 B. -5 C. -4 D. 4 E. 5