Page of 11 - ZOOM + 1. The position function for a falling ball is given by s(t) = 9 -9t2 (where s is measured in feet and t in seconds). a. Find an expression for the average velocity of the ball on a time interval of the form [0.3, 0.3 + h] where -0.5 of 11 - ZOOM + 2. Fill in the table and guess the value of the limit. lim, , f(x), where f(x) = = [2] I f(x) f (I ) 1.002 0.998 1.001 0.999 1.0005 0.9995 1.00001 0.99999 3. For the function f() = 1 + 12, use the limit definition of the derivative to compute f' ( 2 ) . [2]Page of 11 - ZOOM + 4. A potato is placed in an oven, and the potato's temperature F (in degrees Fahrenheit) at various points in time is taken and recorded in the following table. Time t is measured in minutes. Table: Temperature data in degrees Fahrenheit. 10 20 50 60 F(t) 60 170 240 296 310 330 340 Use a central difference to estimate the instantaneous rate of change of the temperature of the potato at t = 30. Include units on your answer. [1]