Find an equation of the sphere containing all surface points P = (x, y, z) such that the distance from P to A(-1, 4, 4) is twice the distance from P to B(6, 3, -2). (x + 1)² + (y− 4)² + (z − 4)² = 4⋅ ((x − 6)² + (y − 3)² + (z+2)²) Find its center and radius. center radius (x, y, z) Need Help? Read It 25 8 3'3' -4 X S 1+
Find an equation of the sphere containing all surface points P = (x, y, z) such that the distance from P to A(-1, 4, 4) is twice the distance from P to B(6, 3, -2). (x + 1)² + (y− 4)² + (z − 4)² = 4⋅ ((x − 6)² + (y − 3)² + (z+2)²) Find its center and radius. center radius (x, y, z) Need Help? Read It 25 8 3'3' -4 X S 1+
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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![Find an equation of the sphere containing all surface points P = (x, y, z) such that the distance from P to A(-1, 4, 4) is twice the distance from P to B(6, 3, -2).
(x + 1)² + (y − 4)² + (z − 4)² = 4⋅ ((x − 6)² + (y− 3)² + (z+ 2)²)
Find its center and radius.
center
radius
(x, y, z) =
Need Help?
Read It
25 8
3'3'
- 4
-
X
+
X
0
-
00
√OO!](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fce1b0819-6d0b-4ec9-bc84-75e332c4c14b%2F06ccef6b-7dd8-45e2-a1a2-7fde40a7fb18%2F5i85u59_processed.png&w=3840&q=75)
Transcribed Image Text:Find an equation of the sphere containing all surface points P = (x, y, z) such that the distance from P to A(-1, 4, 4) is twice the distance from P to B(6, 3, -2).
(x + 1)² + (y − 4)² + (z − 4)² = 4⋅ ((x − 6)² + (y− 3)² + (z+ 2)²)
Find its center and radius.
center
radius
(x, y, z) =
Need Help?
Read It
25 8
3'3'
- 4
-
X
+
X
0
-
00
√OO!
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