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7-78.
  1. for the function f(t) graphed at right. Homework Help ✎

    1. When is F(x) at a maximum on [0, 15]?

    2. Is F(x) increasing or decreasing or both on [0, 8]?

    3. Find F(4), F(10), and F(15).

    4. List the interval(s) on [0, 15] for which F ″(x) > 0.

An integral represents the area under a curve. At which point is there the largest area?

Strictly Increasing. (Justify.)

Since F '(x) = f(x),
F ''(x) = f '(x).