In Exercises 14–17, find (a) the displacement vectors from r(a) to r(b), (b) the magnitude of the displacement vector, and (c) the distance traveled by a particle on the curve from a to b.14. r(t) =⟨t, t2⟩, a = 2, b = 315. r(t) = ⟨t sin t, t cos t⟩ , a = 0, b = π16. r(t) =⟨et sin t, et cos t, et⟩, a = 0, b = 117. r(t) = ⟨α sin βt, α cos βt, γ t⟩ , a = 0, b = 1
In Exercises 14–17, find (a) the displacement vectors from r(a) to r(b), (b) the magnitude of the displacement vector, and (c) the distance traveled by a particle on the curve from a to b.14. r(t) =⟨t, t2⟩, a = 2, b = 315. r(t) = ⟨t sin t, t cos t⟩ , a = 0, b = π16. r(t) =⟨et sin t, et cos t, et⟩, a = 0, b = 117. r(t) = ⟨α sin βt, α cos βt, γ t⟩ , a = 0, b = 1
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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In Exercises 14–17, find (a) the displacement
14. r(t) =⟨t, t2⟩, a = 2, b = 3
15. r(t) = ⟨t sin t, t cos t⟩ , a = 0, b = π
16. r(t) =⟨et sin t, et cos t, et⟩, a = 0, b = 1
17. r(t) = ⟨α sin βt, α cos βt, γ t⟩ , a = 0, b = 1
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