   Chapter 15.7, Problem 14E

Chapter
Section
Textbook Problem

Use a graphing device to draw the solid enclosed by the paraboloids z = x2 + y2 and z = 5 – x2 – y2.

To determine

To sketch: The solid enclosed by the given paraboloids using graphing calculator.

Explanation

Given:

The equations of the paraboloids are z=x2+y2,z=5x2y2 .

Formula used:

The cylindrical coordinates (r,θ,z) corresponding to the rectangular coordinates (x,y,z) is,

r=x2+y2θ=tan1(yx)z=z

Calculation:

Express the given equations in the cylindrical coordinates using the above mentioned formula

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