Which of the following expressions can be used to identify the instantaneous rate of change of the function f (a) = a3 - 4x at the point x = 6? O A. lim (x3-4x) -192 6 O B. r'-4x) -192 lim O C. Jim (13 -4x) -(h3-4h) h-+0 h O D. [(6+h)3-4(6+h) -192 lim h-+0 h O E. (6+h)3-4(6+h) -192 lim h-+6 6-hA particle moves along a line so that its position at any time t 2 0 is given by the function s (t) = =t2 - 4t + 8 where s is measured in feet and t is measured in seconds. Find the instantaneous velocity when t = 10. O A. 4 ft./sec O B. 6 ft./sec O C. 10 ft./sec O D. 14 ft./sec O E. 18 ft./secWhich of the following lines is tangent to the graph of y = g at a: = 1? O D.y=4m O E. y=4m8 Suppose a ball is thrown straight upward from a height of 4 feet. The initial velocity of the ball is 35 feet per second. Write the equation of the position function and use it to find the velocity of the ball at time 0.75 seconds. O A. 11 feet per second O B. 12.6 feet per second O C. 19 feet per second O D. 27.65 feet per second O E. 35 feet per second