Given the right triangle pictured in Fig. 5-6: (a) Find the average value of h. (b) At what point does this average value occur? (c) Determine average value of the f(x) = sin x, 0 x 1/1/0 (Use integration by parts.) (d) Determine the average value of f(x) = cosx, 0 x 2 H -x. According to the mean value theorem for integrals, B the average value of the function h on the interval [0, B] is (a) h(x) = == A B 2 = B 1 B 0 H -x dx B - HE 2 X B Fig. 5-6 H X (b) The point, , at which the average value of h occurs may be obtained by equating f() with that average value, i.e., H H = B 2 Thus, &