Suppose a left Riemann sum is used to approximate the area of the region bounded by the

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Suppose a left Riemann sum is used to approximate the area of the region bounded by the graph of a positive function and the x-axis on the interval [a, b]. Fill in the following table to indicate whether the resulting approximation underestimates or overestimates the exact area in the four cases shown. Use a sketch to explain your reasoning in each case.

Increasing on [a,b] Decreasing on [a, b] Concave up on [a,b] [a, b] Concave down on

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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