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Find T, N, and í for the space curve r(t) = (6 cos ³t)i + (6 sin ³t) j for 0

Find T, N, and í for the space curve r(t) = (6 cos ³t)i + (6 sin ³t) j for 0

Calculus: Early Transcendentals
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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π Find T, N, and K for the space curve r(t) = (6 cos ³t)i + (6 sin ³t) j for 0 <t< 2 T= (- - cost)i + (sint)j (Type exact answers, using radicals as needed.) N= (sint)i + (cost)j (Type exact answers, using radicals as needed.) K= (Type an exact answer, using radicals as needed.)
Transcribed Image Text:π Find T, N, and K for the space curve r(t) = (6 cos ³t)i + (6 sin ³t) j for 0 <t< 2 T= (- - cost)i + (sint)j (Type exact answers, using radicals as needed.) N= (sint)i + (cost)j (Type exact answers, using radicals as needed.) K= (Type an exact answer, using radicals as needed.)
Expert Solution
Step 1: Define the problem

The given space curve r open parentheses t close parentheses equals open parentheses 6 cos cubed open parentheses t close parentheses i plus open parentheses 6 sin cubed open parentheses t close parentheses close parentheses close parentheses j for 0 less than t less than straight pi over 2

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