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Solved: Parametric curvesa. Flat the following curves,

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 4RE Chapter 10

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 4RE

Parametric curvesa. Flat the following curves, indicating the positive orientation.b. Eliminate the parameter to obtain an equation in x and y.c. Identify or briefly describe the curve.d. Evaluate dy/dx at the specified point.x = 10 sin 2t, y = 16 cos 2t, for 0 ? t ? ?; evaluate dy/dx at .

Step-by-Step Solution:

Solution 4REStep 1:Given thatx = 10 sin 2t, y = 16 cos 2t, for 0 t Step 2:To finda. Flat the following curves, indicating the positive orientation.b. Eliminate the parameter to obtain an equation in x and y.c. Identify or briefly describe the curve.d. Evaluate dy/dx at the specified point. evaluate dy/dx at .Step 3:a. The following curves, indicating the positive orientation. Step4:b. The parameter to obtain an equation in x and y.x= 10. Sin 2t y= 16 cos 2tSin 2t= ……(1) cos 2t =-------(2)Square both equation both side and add we get2t=1Step 5:C. The curve is moving twice around the unit circle.Step 6:=1Differentiate both side we get=-At point ==

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Chapter 10, Problem 4RE is Solved
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Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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Solved: Parametric curvesa. Flat the following curves,

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