Find c'(t) and ||c'(t) || - c'(t) = (2e',41,2) (2e*, 4t, 2) ||c'(t)|| = V 4e + 4t + 4| 2t 4²? - 4e2t + 16t? + 4 Also, find f(c(t)). f(c(t)) = f(2e*, 21?, 2t) 2t 8e4 + 32t 8e2t + 32t Step 2 of 2 Evaluate the line integral using u-substitution. 2t f(x, y, z) ds (8e + 32t) V 4e2t + 16t2 + 4 dt Vũ du

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find c'(t) and ||c'(t) || -
c'(6) = (2e',41,2)
(2e*, 4t, 2)
||c'(t)|| = V 4e + 4t + 4|
2t
4²? -
4e2t + 16t2 + 4
Also, find f(c(t)).
f(c(t)) = f(2e*, 21?, 2t)
2t
8e4 + 32t
8e2t + 32t
Step 2 of 2
Evaluate the line integral using u-substitution.
f(x, y, z) ds
(8e2t + 32t) V 4e2t + 16t2 + 4 dt
Vũ du
8,
Transcribed Image Text:Find c'(t) and ||c'(t) || - c'(6) = (2e',41,2) (2e*, 4t, 2) ||c'(t)|| = V 4e + 4t + 4| 2t 4²? - 4e2t + 16t2 + 4 Also, find f(c(t)). f(c(t)) = f(2e*, 21?, 2t) 2t 8e4 + 32t 8e2t + 32t Step 2 of 2 Evaluate the line integral using u-substitution. f(x, y, z) ds (8e2t + 32t) V 4e2t + 16t2 + 4 dt Vũ du 8,
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