- 4. Find f'(-1) if a. 0 b. 2 f(x)- d. 5. The position function of an object is given by ()-2-12 +30 +8, where time, f, is in seconds and distance, s, is in metres. What is the object's acceleration at -1? a. 12 m/s b. -12 m/s c. d. 20 m/s 0 m/s 6. The demand function for a product is given by P(x)-80-0.018x, where x is the number of units of the product sold and p is the price, in dollars. The cost function is C(x)-5000x-2.8. What is the marginal profit, to the nearest dollar, when 75 units of the product are sold? a. -$4503 b. $2501 c. -$1256 d. $4012 When does the function f(x) = x- 6x+10x-3 have a point of inflection? 7. a. (1, 2) b. (-1,-20) c. (2, 1) d. (0,-3) 8. Find the critical points for the function f(x) = x-3x+1. a. (-1, 3) and (1,-1) b. (0, 1) and (1,-1) c. (1,-1) and (2, 3) d. (-1, 3) and (0, 1) 9. The height, h, in metres, of a projectile at t seconds, is given by h(t)=(10-). Find the maximum b the projectile. c. 50 m d. 10 m a. 100 m b. 25 m cos 2x y: 10. If 4 , find " at x = . c. -1 a. 1 b. 0 d. 2 11. Find the equation of the tangent to y = cos 2x at the point a. y= -2x b. y=2x+x 12. Find the slope of the tangent to a. -0.301 b. 3.102 sin x y= X 4 C. y = -2x+175 d. y=-x+1 at the point where x = 1. c. 2.112 d. -1.432