Consider the function f(x, y, z) = 4(x² + y²) z² and the Point A=(1,0,2) (a) find K such that the curve. A r(t) = (et cost, et sint, 2et), te [1,¹] is on the surface f (x, y, z) = K and find the unit tangent vector to r(t) At A.
Consider the function f(x, y, z) = 4(x² + y²) z² and the Point A=(1,0,2) (a) find K such that the curve. A r(t) = (et cost, et sint, 2et), te [1,¹] is on the surface f (x, y, z) = K and find the unit tangent vector to r(t) At A.
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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![Consider the function f(x, y, z) = 4(x² + y²)
z²
and the Point A = (1.0.2)
(a) find K such that the curve.
r(t) = (et cost, et sint, 2et),
£€ [- +¹]
is on the surface f (x, y, z) - K
=
and find the unit tangent vector to
r(t) At A.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4c724970-fab0-4f98-bdd4-102762e9873f%2F3f4e503f-0d6a-491f-a3d0-5e8c94fd7979%2Ftdd9hic_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the function f(x, y, z) = 4(x² + y²)
z²
and the Point A = (1.0.2)
(a) find K such that the curve.
r(t) = (et cost, et sint, 2et),
£€ [- +¹]
is on the surface f (x, y, z) - K
=
and find the unit tangent vector to
r(t) At A.
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