Chapter 15.1, Problem 5E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Let *V* be the volume of the solid that lies under the graph of
*x* ≤ 4, 2 ≤ *y* ≤ 6. Use the lines *x* = 3 and *y* = 4 to divide *R* into subrectangles. Let *L* and *U* be the Riemann sums computed using lower left corners and upper right corners, respectively. Without calculating the numbers *V*, *L*, and *U*, arrange them in increasing order and explain your reasoning.

To determine

**To arrange:** The given three numbers

Explanation

**Given:**

The function,

The volume of the solid is denoted by

The upper Riemann sum computed using upper right corners is denoted by

The lower Riemann sum computed using lower left corners is denoted by

**Reason:**

Express the given function as,

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