2. Let F(t) = (et cos t) î+ (e¹ sin t) ĵ + et k. a. Find symmetric equations of the line tangent to the graph of Fat the point P(1, 0, 1). b. If f(t) = e²t, compute (fF)'(0).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 34E
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2. Let F(t) = (et cos t) î+ (e¹ sin t) ĵ + et k.
a. Find symmetric equations of the line tangent to the graph of Fat the point P(1, 0, 1).
b. If f(t) = e²t, compute (fF)'(0).
Transcribed Image Text:2. Let F(t) = (et cos t) î+ (e¹ sin t) ĵ + et k. a. Find symmetric equations of the line tangent to the graph of Fat the point P(1, 0, 1). b. If f(t) = e²t, compute (fF)'(0).
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