Find the unit tangent vector of the given curve. r(1) - [3 cost)i + (3 un 13- T-(-∞ 12tk ¹) + (-¹)} - * sin + ----¹)-(¹)-#. co T-(-185 0²-31) - (15/5 - 1) - 1104 cos 169 sin 169 T-(-23 ¹²t)i + ( cot) - k sin

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 unit tangent vector of the given curve.
r(t)
1) = (3 cost)i + (3 sin ² t]j
O
T-(-)-(¹)-₁
--------
Т
T
13
Т
sin
12tk
T-(- 155 00¹)i + (1051)- 1353 x
cos
12
169
sin
169
k
169
T-(-)-(¹)-₁
sin
Transcribed Image Text:Find the unit tangent vector of the given curve. r(t) 1) = (3 cost)i + (3 sin ² t]j O T-(-)-(¹)-₁ -------- Т T 13 Т sin 12tk T-(- 155 00¹)i + (1051)- 1353 x cos 12 169 sin 169 k 169 T-(-)-(¹)-₁ sin
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