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brg, T55 1-6 Find the length of the curve.

brg, T55 1-6 Find the length of the curve.

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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868 CHAPTER 13 Vector Functions 2 13.3 EXERCISES Dind 1-6 Find the length of the curve. Dog 1. r(t) = (t, 3 cos t, 3 sin t), -5≤t≤5 2. r(t) = (2t, t², 1³), 0≤ t ≤ 1 17 ut smise srit 3. r(t) = √√√2 ti+e'j+e'k, 0≤t≤1 jadi szolg 4. r(t) = cos ti+ sin tj + In cos tk, 0≤ t < TT/4 5. r(t) = i + t²j + t³k, 0≤ t ≤ 1 6. r(t) = t² i + 9tj + 4t3/2 k, 1< t < 4 - 7-9 Find the length of the curve correct to four decimal plac (Use a calculator to approximate the integral.) 7. r(t) = (1², 1³, 14), 0≤ t ≤ 2 8. r(t) = (t, e', te'), 1 < t <3 9. r(t) = (cos πt, 2t, sin 2πt), from (1, 0, 0) to (1, 4, 0) 10. Graph the curve with parametric equations x = sin t, correct to four decimal places. y = sin 2t, z = sin 3t. Find the total length of this curv 11. Let C be the curve of intersection of the paraboli
Transcribed Image Text:868 CHAPTER 13 Vector Functions 2 13.3 EXERCISES Dind 1-6 Find the length of the curve. Dog 1. r(t) = (t, 3 cos t, 3 sin t), -5≤t≤5 2. r(t) = (2t, t², 1³), 0≤ t ≤ 1 17 ut smise srit 3. r(t) = √√√2 ti+e'j+e'k, 0≤t≤1 jadi szolg 4. r(t) = cos ti+ sin tj + In cos tk, 0≤ t < TT/4 5. r(t) = i + t²j + t³k, 0≤ t ≤ 1 6. r(t) = t² i + 9tj + 4t3/2 k, 1< t < 4 - 7-9 Find the length of the curve correct to four decimal plac (Use a calculator to approximate the integral.) 7. r(t) = (1², 1³, 14), 0≤ t ≤ 2 8. r(t) = (t, e', te'), 1 < t <3 9. r(t) = (cos πt, 2t, sin 2πt), from (1, 0, 0) to (1, 4, 0) 10. Graph the curve with parametric equations x = sin t, correct to four decimal places. y = sin 2t, z = sin 3t. Find the total length of this curv 11. Let C be the curve of intersection of the paraboli
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