3. Let f(t) be the function graphed below. Let g(x) = ƒ f(t)dt -0:8 -0:6 -0:4 -0.2 0,5 15 2.5 -0:2 (a) Approximate g'(1.5) (b) Find all critical points of g(x) (the x values) (c) Classify each critical point as a local maximum, local minimum, or neither (d) Find all interval(s) for x such that g(x) is concave up

Find a point e satisfying the conclusion of the MVT for the following function and interval: f(x) = x, [1,5] (Use decimal notation. Give your answer to three decimal places.) c =

(a) Consider the function f(x) = 1/x – 2 and the interval [a, b] = [–1, ]. Is it true that f(a)f(b) 0. Compute an linear model function mr(x) that has the value sign(f(x)) at ark and bg. Show how the zero xL of mä(x) can be used to reduce the length of the interval of uncertainty for a zero of f.