A particle moves so that r(t) = (3 cos t + 3t sin t)i + (3 sint – 3t cos t)j+ (2t² )k. Find the distance traveled by the particle from t = 0 to t = 67.
A particle moves so that r(t) = (3 cos t + 3t sin t)i + (3 sint – 3t cos t)j+ (2t² )k. Find the distance traveled by the particle from t = 0 to t = 67.
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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![A particle moves so that
r(t) = (3 cos t + 3t sin t)i + (3 sin t – 3t cos t)j+ (2t² )k.
Find the distance traveled by the particle from t = 0 to t = 67.
O 3
32472 + 518474
32472 +51847 +9
O 3i – 187j + 7272k
9072](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F82704860-94cd-423d-b2ec-83bd4f56cfa0%2F74933b20-4679-4447-941f-a9bb28535d9a%2Fjaozsee_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A particle moves so that
r(t) = (3 cos t + 3t sin t)i + (3 sin t – 3t cos t)j+ (2t² )k.
Find the distance traveled by the particle from t = 0 to t = 67.
O 3
32472 + 518474
32472 +51847 +9
O 3i – 187j + 7272k
9072
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