Find the average value of the function f(a:) = 3/ a: on the interval [1, 4]. fave = y: (a) Find the average value of the anction f(a:) = 3% on the interval [0, 4]. fave : 3: (b) Find e such that fave = f(c). c= f. A particle is moving with acceleration a;(t) = 12t + 14. its position at time t = 0 is 3(0) 2 7 and its velocity at time t = 0 is v(0) = 10. What is its position at time t = 7 ? f. A ball is shot straight up into the air with initial velocity of 44 ft/sec. Assuming that the air resistance can be ignored, how high does it go? I? Hint: The acceleration due to gravity is 32 ft per second squared