Let R N be the Nth right-endpoint approximation for (x) = x 3 on [0, 4] (Figure

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Let RN be the Nth right-endpoint approximation for ƒ(x) = xon [0, 4] (Figure 2).

64 32 att 1 2 3 4

(a) Prove that RN = 64(N + 1) N

(b) Prove that the area of the region within the right-endpoint rectangles above the graph is equal to

64(2N + 1) N

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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