Question 2 Given the equation -4x² + 40x - 4y² - 32y - 4z² +24z = -200 ] Show that the given equation represents a sphere, and find its center and radius. Determine whether the point (9,-5, 3) lies inside / outside / or on / the sphere. a) b)
Question 2 Given the equation -4x² + 40x - 4y² - 32y - 4z² +24z = -200 ] Show that the given equation represents a sphere, and find its center and radius. Determine whether the point (9,-5, 3) lies inside / outside / or on / the sphere. a) b)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.1: Systems Of Equations
Problem 61E
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![Question 2
Given the equation
-4x² + 40x - 4y² - 32y - 4z² +24z = -200
] Show that the given equation represents a sphere, and find its center and radius.
Determine whether the point (9,-5, 3) lies inside / outside / or on / the sphere.
b)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F25b04179-dfa4-41d8-a552-0a08b89dda2d%2F0dc2aed9-d642-46c2-8246-11efa74999c3%2Fnsaapnn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 2
Given the equation
-4x² + 40x - 4y² - 32y - 4z² +24z = -200
] Show that the given equation represents a sphere, and find its center and radius.
Determine whether the point (9,-5, 3) lies inside / outside / or on / the sphere.
b)
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