Let f(t)= [1,4]: Find the average value on the given interval. Let f(x) = 9-x ;...

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Let f(t)= [1,4]: Find the average value on the given interval. Let f(x) = 9-x ; x 0; a = 8. a) Show that f is a one-to-one function, b) Find (f)'(a), c) Find f-(x), d) Calculate (f-)'(x) and verify it agrees with the result in step b. Find the following derivatives: a) y = 8e-20 cos (50) Let f(t)= [1,4]: Find the average value on the given interval. Let f(x) = 9-x ; x 0; a = 8. a) Show that f is a one-to-one function, b) Find (f)'(a), c) Find f-(x), d) Calculate (f-)'(x) and verify it agrees with the result in step b. Find the following derivatives: a) y = 8e-20 cos (50)