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6 Nov 2019
7. Let f(x) 2-32. Recall that the average value of any continuous function f a. Find the average value of f(x2z2 on the interval [o,V2. Call this b. Sketch a graph of y f(x) and y-r. Find their intersection point(s). on an interval la, b] is given bya() da. b-a Ja value r. Show that on the interval [0, /2, the amount of area that lies below y-f(x) and above y r is equal to the amount of area that lies below y- rand above y f(x). c. d. Will the result of (c) be true for any continuous function and its average value on any interval? Why? Show transcribed image text
7. Let f(x) 2-32. Recall that the average value of any continuous function f a. Find the average value of f(x2z2 on the interval [o,V2. Call this b. Sketch a graph of y f(x) and y-r. Find their intersection point(s). on an interval la, b] is given bya() da. b-a Ja value r. Show that on the interval [0, /2, the amount of area that lies below y-f(x) and above y r is equal to the amount of area that lies below y- rand above y f(x). c. d. Will the result of (c) be true for any continuous function and its average value on any interval? Why?
Show transcribed image text Bunny GreenfelderLv2
2 Jul 2019