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(c) z = 5x + 2y where x = 1+ 2cos(t), y = sin(t) – 3 andt = dz answer: dt dz 2cos(t) – 10sin(t), = -4V2 dt

(c) z = 5x + 2y where x = 1+ 2cos(t), y = sin(t) – 3 andt = dz answer: dt dz 2cos(t) – 10sin(t), = -4V2 dt

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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(c) z = 5x + 2y where x = 1+ 2cos(t), y = sin(t) – 3 and t = dz answer: dt 2cos(t) – 10sin(t), :-4V2 %3D dt (d) = Z y2+1 where x = cos(t), y = sin(t) and t = sin(t) 2sin(t)cos? (t) dz dz answer: dt 1 sin? (t)+1 (sin2(t)+1)2 dtlt=; (e) z = x² + 2y? where x = sin(t), y = 3sin(t) and t = 4 dz answer: dt 19sin(2t) , ail = 19 (f) z = cos(x)sin(y) where x = t , y = 2nt + and t = 3 2 dz = - dt Tsin (πt)s in (2πt + + 2ncos(nt)cos (2nt +;), aile=3 answer: = 0
Transcribed Image Text:(c) z = 5x + 2y where x = 1+ 2cos(t), y = sin(t) – 3 and t = dz answer: dt 2cos(t) – 10sin(t), :-4V2 %3D dt (d) = Z y2+1 where x = cos(t), y = sin(t) and t = sin(t) 2sin(t)cos? (t) dz dz answer: dt 1 sin? (t)+1 (sin2(t)+1)2 dtlt=; (e) z = x² + 2y? where x = sin(t), y = 3sin(t) and t = 4 dz answer: dt 19sin(2t) , ail = 19 (f) z = cos(x)sin(y) where x = t , y = 2nt + and t = 3 2 dz = - dt Tsin (πt)s in (2πt + + 2ncos(nt)cos (2nt +;), aile=3 answer: = 0
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