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1. Let P be the plane defined by z = a for some constant a. (a) For which two numbers a = a1, a2 does P intersect the unit sphere in a single point? (b) For which number a is the radius of the circle where P intersects the unit sphere the largest? What is this largest radius?

1. Let P be the plane defined by z = a for some constant a. (a) For which two numbers a = a1, a2 does P intersect the unit sphere in a single point? (b) For which number a is the radius of the circle where P intersects the unit sphere the largest? What is this largest radius?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Let P be the plane defined by z = a for some constant a. %3D (a) For which two numbers a = a1, a2 does P intersect the unit sphere in a single point? (b) For which number a is the radius of the circle where P intersects the unit sphere the largest? What is this largest radius?
Transcribed Image Text:1. Let P be the plane defined by z = a for some constant a. %3D (a) For which two numbers a = a1, a2 does P intersect the unit sphere in a single point? (b) For which number a is the radius of the circle where P intersects the unit sphere the largest? What is this largest radius?
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