a.Lfind the equation of the sphere that has a center at (2,1,4) and a point on the sphere at \(-1,-2,2). b) Find the equation of the plane that contains the point (0,0,3). (1,2, -1) and (2,-1,3). c.) Find the radius of the circle traced by the intersection of the plane you found in (b) with the sphere you found in (a). (Hint: set z = k, k €Z until you find the largest chord of the tircle, desmos will help a lot for this problem, include a screenshot of your work on desmos for this problem if you decide to use it.) %3D
a.Lfind the equation of the sphere that has a center at (2,1,4) and a point on the sphere at \(-1,-2,2). b) Find the equation of the plane that contains the point (0,0,3). (1,2, -1) and (2,-1,3). c.) Find the radius of the circle traced by the intersection of the plane you found in (b) with the sphere you found in (a). (Hint: set z = k, k €Z until you find the largest chord of the tircle, desmos will help a lot for this problem, include a screenshot of your work on desmos for this problem if you decide to use it.) %3D
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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Question
Just part c.pls do it soon
Transcribed Image Text:a.JFind the equation of the sphere that has a center at (2,1,4) and a point on the sphere at
(-1,-2,2).
5.)
Find the equation of the plane that contains the point (0,0,3), (1,2, -1) and
(2, –1,3).
c.) Find the radius of the circle traced by the intersection of the plane you found in
(b) with the sphere you found in (a). (Hint: set z = k, k E Z until you find the largest chord of
the tircle, desmos will help a lot for this problem, include a screenshot of your work on desmos
for this problem if you decide to use it.)
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