z=x2+y2 and 3z= 4-x2-y2 pertaining to the body bounded by its paraboloids,   a) draw the region   b) Calculate the volume of this solid by a double integral.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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z=x2+y2 and 3z= 4-x2-y2 pertaining to the body bounded by its paraboloids,

 

a) draw the region

 

b) Calculate the volume of this solid by a double integral. 

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