Let g(x) = x 0 f (g) dt, where f is the function whose graph is
Question:
Let g(x) = ∫ x0 f (g) dt, where f is the function whose graph is shown.
(a) Evaluate g(0) and g(6).
(b) Estimate t(x) for x = 1, 2, 3, 4, and 5.
(c) On what interval is t increasing?
(d) Where does t have a maximum value?
(e) Sketch a rough graph of g.
(f) Use the graph in part (e) to sketch the graph of g'(x). Compare with the graph of f.
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a so g0 0 since the limits of integration are equal and g6 0 since the areas abo...View the full answer
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