Answered: Work Problem 1. J (a)i- Show that the… | bartleby

Linear Algebra: A Modern Introduction

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.2: Determinants

Problem 15AEXP

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Work Problem 1. J
(a)i-
Show that the following equation
represents a sphere, and find its center and
radius.
x² + y² + z² + (-10) x + (−2) y + (−8) z + 38 = 0
(b)
Find an equation of the sphere that
passes through the point (-2, 0, 1) and centered
at the point (0, 1, 1).
(c)[*
Does the point P(3, 1, 0) belong to the
sphere found in part (b)? Justify your answer.

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6. Find an equation of the sphere that passes through the origin and whose center is (3, 1, 3).
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If P(x, y) is any point on the ellipse 16x\power{2} + 25y\power{2} = 400 and F\index{1}=(3,0), F\index{1}=(-3,0), then find the value ofPF\index{1}+PF\index{2}.
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