5. (a) (b) The surfaces (x - 2)² + z² = 9 and y = z2 intersect along the curve C. Find a vector equation for the curve C. Find parametric equations for the tangent line to this curve at (2, 9, 3).
5. (a) (b) The surfaces (x - 2)² + z² = 9 and y = z2 intersect along the curve C. Find a vector equation for the curve C. Find parametric equations for the tangent line to this curve at (2, 9, 3).
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
5.
please solve it on paper
the answers should match the 2nd pic ( answer key)
![5.
(a)
(b)
The surfaces (x − 2)² + z² = 9 and y
-
Find a vector equation for the curve C.
= z² intersect along the curve C.
Find parametric equations for the tangent line to this curve at (2, 9, 3).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffe70859f-d1ee-4d19-93f5-d3c21b44393e%2Fdb52e29f-2071-46c8-b84b-690147a173dc%2Fp4pmzed_processed.png&w=3840&q=75)
Transcribed Image Text:5.
(a)
(b)
The surfaces (x − 2)² + z² = 9 and y
-
Find a vector equation for the curve C.
= z² intersect along the curve C.
Find parametric equations for the tangent line to this curve at (2, 9, 3).
![- (a) r(t) = (2 + 3 cost, 9 sin² t, 3 sin t).
(b) x = 2 — t, y = 9, z = 3.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffe70859f-d1ee-4d19-93f5-d3c21b44393e%2Fdb52e29f-2071-46c8-b84b-690147a173dc%2F0wf28o_processed.png&w=3840&q=75)
Transcribed Image Text:- (a) r(t) = (2 + 3 cost, 9 sin² t, 3 sin t).
(b) x = 2 — t, y = 9, z = 3.
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