Find the average value fave of the function fon the given interval. [(00 = VI}! [0! 16] 0.825741 '1: || ave Find the average value fave of the function fon the given interval. X2 (x3 + 36)2 f(X) = I [31 3] Find the average value have of the function h on the given interval. h(x) = 4 cos (x) sin(x), [0, m] have =Consider the following given function and given interval. 900 = (x + 2P, [0, 2] (a) Find the average value gave of g on the given interval. gave = |:l (b) Find c in the given interval such that gave = g(c). (Enter your answers as a comma-separated list. Round your answers to three decimal places.) C: Find all numbers 1'.) such that the average value of f(x) = 7 + 10x 9x2 on the interval [0, b] is equal to 8. (Enter your answers as a comma-separated list.) b: Suppose that 3 J of work is needed to stretch a spring from its natural length of 24 cm to a length of 40 cm. (a) How much work (in ]) is needed to stretch the spring from 32 cm to 36 cm? (Round your answer to two decimal places.) (b) How far beyond its natural length (in cm) will a force of 25 N keep the spring stretched? (Round your answer one decimal place.) cmIF the work required to stretch a spring 1 ft beyond its natural length is 12 Ft-Ib, how much work (in ft-Ib) is needed to stretch it 3 in. beyond its natural length