, what is the z-coordinate of a point in P?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Let E be the region in R³ in the first octant, bounded by the spheres a? + y? + z? = 1 and x? + y? + z² = 4.
E = {(x, Y, z) E R³ : 2, Y, z > 0 and 1< x² + y? + z² < 4}.
On average, what is the z-coordinate of a point in P?
You may use the fact that a volume inside a sphere of radius r is Tr³.
Transcribed Image Text:Let E be the region in R³ in the first octant, bounded by the spheres a? + y? + z? = 1 and x? + y? + z² = 4. E = {(x, Y, z) E R³ : 2, Y, z > 0 and 1< x² + y? + z² < 4}. On average, what is the z-coordinate of a point in P? You may use the fact that a volume inside a sphere of radius r is Tr³.
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