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The ellipsoid 2x² + 2y² + z² = 164/25 and sphere 2 x² + y² + x²-3x - 3x − 3y + 4z + 196/25 = 0 are tangent to each other at a point P(a, b, c) where a = 1. Find the remaining coordinate values.

The ellipsoid 2x² + 2y² + z² = 164/25 and sphere 2 x² + y² + x²-3x - 3x − 3y + 4z + 196/25 = 0 are tangent to each other at a point P(a, b, c) where a = 1. Find the remaining coordinate values.

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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The ellipsoid and sphere x² 2 +y² +2² are tangent to each other at a point P(a, b, c) where a = 1. • b: Find the remaining coordinate values. = A₂ 2x² + 2y² + z² = 164/25 ab sin (a) ●C= ab − 3x − 3y + 4z + 196/25 = 0 sin (a) Ә f əx ə f əx 8 8 a Ω Ω
Transcribed Image Text:The ellipsoid and sphere x² 2 +y² +2² are tangent to each other at a point P(a, b, c) where a = 1. • b: Find the remaining coordinate values. = A₂ 2x² + 2y² + z² = 164/25 ab sin (a) ●C= ab − 3x − 3y + 4z + 196/25 = 0 sin (a) Ә f əx ə f əx 8 8 a Ω Ω
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