Find the length of the curve r(t): (4 cos(t) + 4t sin(t))i + (4 sin(t) - 4t cos(t))j + (3-√3²) 2 k from t= 0 tot = 2.

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 the length of the curve r(t) = (4 cos(t) + 4t sin(t))i + (4 sin(t) - 4t cos(t))j + (3-√3²) K
2
a) ○ 344 π² √2
b)
6 π √43
c) ○ 2 π² √43
d) ○ 344 π √/2
e) ○ 47² √/43
k from t = 0 tot = 2.
Transcribed Image Text:Find the length of the curve r(t) = (4 cos(t) + 4t sin(t))i + (4 sin(t) - 4t cos(t))j + (3-√3²) K 2 a) ○ 344 π² √2 b) 6 π √43 c) ○ 2 π² √43 d) ○ 344 π √/2 e) ○ 47² √/43 k from t = 0 tot = 2.
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