Chapter 14.2, Problem 42E

### 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 Using Technology In Exercises 41-44. use a computer algebra system to find the volume of the solid bounded by the graphs of the equations. x 2 = 9 − y ,     z 2 = 9 − y ,       first   octant

To determine

To calculate: The volume of the solid that is bound by the graphs of the equations.

Explanation

Given: x2=9âˆ’y,z2=9âˆ’y in the first octant

Formula used:

V=âˆ¬Rf(x,y)dA

Calculation:

Using CAS, we have to find the volume of a solid that is bound by

x2=9âˆ’y,z2=9âˆ’y in the first octant.

z2=9âˆ’yâ‡’z=9âˆ’y

The graph of x2=9âˆ’y in the first octant is shown below.

In order to draw the graphs of the two equations, follow the steps listed below:

Use Ti-83 to plot the graph:

Step 1: Press the (Y=) key.

Step 2: Press Y1=9âˆ’x2

Step 3: Adjust WINDOW according to the values given below. Xmin=âˆ’10,Xmax=10,Ymin=âˆ’10,Ymax=10.

Step 4: Now press the (GRAPH) key and the graph is, thereby, obtained.

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