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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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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.
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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