Let B be the region in the first octant inside both x? + y + z? = 1 and z = Vx2 + y² . a) Find the triple integral 3zdV. В b) Find the triple integral III 2ydV. B c) If possible, find a value of a so that (az + 3y)dV = 1. JJJ B

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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Let B be the region in the first octant
inside both x? + y + z? = 1 and
Vx? + y? .
Z =
a) Find the triple integral
I.
3zdV.
В
b) Find the triple integral
2ydV.
В
c) If possible, find a value of
a so that
(az + 3y)dV = 1.
В
Transcribed Image Text:Let B be the region in the first octant inside both x? + y + z? = 1 and Vx? + y? . Z = a) Find the triple integral I. 3zdV. В b) Find the triple integral 2ydV. В c) If possible, find a value of a so that (az + 3y)dV = 1. В
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