Explanation Graph: Consider the provided curves, x = 3 + 2 cos t and y = 2 + 4 sin t ; 0 ≤ t ≤ 2 π Now, simplify the first curve x = 3 + 2 cos t by making the subject as t . x = 3 + 2 cos t x − 3 = 2 cos t cos t = x − 3 2 â€¦â€¦ (1) Now, simplify the first curve y = 2 + 4 sin t by making the subject as t . y = 2 + 4 sin t y − 2 = 4 sin t sin t = y − 2 4 â€¦â€¦ (2) Squaring equation (1) and (2) then add

Calculus: Early Transcendentals, Enhanced Etext

12th Edition

ISBN: 9781119777984

Author: Howard Anton; Irl C. Bivens; Stephen Davis

Publisher: Wiley Global Education US

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Question

Chapter 10.1, Problem 7ES

To determine

To graph: The provided curves x=3+2cost and y=2+4sint;0≤t≤2π by using the elimination of parameter and also indicate the direction of t when it increases.

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Chapter 10.1, Problem 6ES

Chapter 10.1, Problem 8ES

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Chapter 10 Solutions

Calculus: Early Transcendentals, Enhanced Etext

Ch. 10.1 - Prob. 1QCE Ch. 10.1 - The graph of the curve described by the parametric...Ch. 10.1 - Suppose that a parametric curve C is given by the...Ch. 10.1 - To find dy/dx directly from the parametric...Ch. 10.1 - Let L be the length of the curve x=lnt,y=sint1t An...Ch. 10.1 - Sketch the curve by eliminating the parameter, and...Ch. 10.1 - Prob. 7ES Ch. 10.1 - Sketch the curve by eliminating the parameter, and...Ch. 10.1 - Sketch the curve by eliminating the parameter, and...Ch. 10.1 - Sketch the curve by eliminating the parameter, and...

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To graph: The provided curves x = 3 + 2 cos t and y = 2 + 4 sin t ; 0 ≤ t ≤ 2 π by using the elimination of parameter and also indicate the direction of t when it increases.

Solution Summary: The author explains how to simplify the first curve x=3+2mathrmcostandy=2+4

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To graph: The provided curves x=3+2cost and y=2+4sint;0≤t≤2π by using the elimination of parameter and also indicate the direction of t when it increases.

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Chapter 10 Solutions