Suppose f(a) = -3x2 + 7. Evaluate the following limit. lim f(2 + h) - f(2) h-0 h Note: Input DNE, infinity, -infinity for does not exist, oo, and -oo, respectively.If a ball is thrown straight up into the air with an initial velocity of 85 W3, its height in feet after t seconds is given by y : 85f 16t2. (a) Find the average velocity (using 3 decimal places if necessary) for the time period beginning when t = 2 and lasting (i) 0.1 seconds. Answer: ft/s (ii) 0.01 seconds. Answer: We (iii) 0.001 seconds. Answer: ft/s (b) Based on the above results, guess what the instantaneous velocity of the ball is when t : 2. Answer: | ft/s