# Chegg Guided Solutions for Calculus 7th Edition: Chapter 15.1

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• Step 1 of 3

(a)

Consider the surface

The solid that lies below the surface and above the rectangle is shown below:

• Step 2 of 3

Need to find the volume of the solid using Riemann sums.

Take

The squares are shown in the below figure:

Area of the square with side length 2 is

The upper right corner of each square is

And the function is

The volume of the solid using Riemann sum with is

Therefore the required volume of the solid using Riemann sum is

• Step 3 of 3

(b)

Midpoints of the six squares are shown in the below figure:

Area of the square with side length 2 is

The Midpoints of each square is

And the function is

The volume of the solid using Riemann sum with is

Therefore the required volume of the solid using Riemann sum is

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