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).

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 26E
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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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