Suppose f is continuous on (0, ) and A(x) is the net area of the region bounded
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Suppose f is continuous on (0, ∞) and A(x) is the net area of the region bounded by the graph of f and the t-axis on [0, x]. Show that the local maxima and minima of A occur at the zeros of f. Verify this fact with the function f(x) = x2 - 10x.
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Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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