Chapter 14.2, Problem 32E

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347

Chapter
Section

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347
Textbook Problem

# Finding Volume In Exercises 29-34, set up and evaluate a double integral to find the volume of the solid bounded by the graphs of the equations. z = 1 1 + y 2 ,     x = 0 ,   x =2,   y ≥ 0

To determine
The volume of the solid bounded by the graphs of equations.

Explanation

Given:

The equations:

z=11+y2,x=0,x=2,yâ‰¥0

Explanation:

The volume of a solid is provided by,

V=âˆ¬Rf(x,y)dA

Where, f(x,y)=z

Here,

f(x,y)=z=11+y2,

Here, in first octant y goes from 0 to âˆž and x goes from 0 to 2.

So, the required volume of solid is provided by:

V=âˆ¬Rf(x,y)dA=âˆ«<

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