(a) Show that the two surfaces S₁: z = xy and S₂ : z = ³x² - y² intersect perpendicularly at the point (2,1,2).
(a) Show that the two surfaces S₁: z = xy and S₂ : z = ³x² - y² intersect perpendicularly at the point (2,1,2).
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
![3. (a) Show that the two surfaces S1 : z = ry and S2 : z = r? – y² intersect
perpendicularly at the point (2, 1, 2).
(b) Show that every tangent plane to the cone z² = x²+y² must pass through
the origin.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7f860ebc-3f09-4a74-a5db-9fc1759c721d%2F809add9a-b4e4-4b67-8faf-a4660aad1019%2Fdcvkfd_processed.png&w=3840&q=75)
Transcribed Image Text:3. (a) Show that the two surfaces S1 : z = ry and S2 : z = r? – y² intersect
perpendicularly at the point (2, 1, 2).
(b) Show that every tangent plane to the cone z² = x²+y² must pass through
the origin.
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