Suppose that 3

Suppose that 3 f'(x) 5 5 for all values of r. Show that IS f(S) f(2) 30. For each of the following, find the critical points of the given function on the given interval I. Find the maximum value of the function on I, or state that it does not exist. Use the Closed Interval method. Find the minimum value of the function on I, or state that it does not exist. Use the Closed Interval method. a) f(r) 1 = [2,81 A mass connected to a spring moves along the x-axes so that at time t secons the mass is r(t) sin(2t) + cos(2t). inches from the origin (positive distance is measured to the right). Over the interval (0, 71, what is the maximum distance of the mass from the origin?