Spring 2019 1. What values of a and b make the following function continuous? Bar - 2 if x 4 (a) a = 1,b=5 (b) a = 1,b=4 (c) a = 5, 6=5 (d) a = 5,b=4 (e) a = 4, b= 5 2. Given position function f(t) = 3t2 + t - 1, where t is in seconds and f (t) is in feet, find the average velocity between 1 and 4 seconds (a) 6 ft/sec (b) 16 ft/sec (c) 19 ft/sec (d) 25 ft/sec (e) 29 ft/sec 3. Suppose that y(t) = -5t2 + 100t + 5 gives the height t (in feet) of a ball fired straight up as a function of time t (in seconds). Determine the instantaneous velocity at time t = 2.' (a) -20 ft/sec (b) -10 ft/sec (c) 75 ft/sec (d) 80 ft/sec (e) 185 ft/sec 4. Find the equation of the line tangent to g(x) = 3x cos(5x) at x = 5 (a) y = 31 (b) y = 3x - 67 5 (c) y = 5 67T 2 71 (d) y = I - on 5 275 (e) y = 6TT 5 5