Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 5: Integrals - Section 5.2 - Sigma Notation and Limits of Finite Sums - Exercises 5.2 - Page 266: 33

Answer

(a) left-hand endpoint, (b) right handed point, (c) midpoint of the kth sub-interval

Work Step by Step

-Graphing each function ƒ(x) over the given interval. -Partitioning the interval into four subintervals of equal length. Then adding to sketch the rectangles associated with the Riemann sum $\Sigma^4_{k=1}$ƒ($c_k$) Δ$X_k$ , given that $c_k$ is the (a) left-hand endpoint, (b) right handend point, (c) midpoint of the kth subinterval. (Making a separate sketch for each set of rectangles.)
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