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The graph of a differentiable function f on the closed interval [1, 7] is shown. x
Let h x f t dt for 1 x 7 . 1
a. b. c. d.
Find h(1). Find h 4 . On what interval or intervals is the graph of h concave upward? Justify your answer. Find the value of x at which h has its minimum on the closed interval [1, 7]. Justify your answer.