(a) Explanation Definition used: The equation of a circle is ( x − h ) 2 + ( y − k ) 2 = r 2 , where the center is ( h , k ) and radius is r . Calculation: Given that, x = − 7 cos 2 t , y = − 7 sin 2 t ; 0 ≤ t ≤ π . By the equation of the circle, the parametric equation is as follows (b) To determine To describe: The curve whose parametric equation is x = − 7 cos 2 t , y = − 7 sin 2 t ; 0 ≤ t ≤ π .

Calculus, Early Transcendentals, Single Variable Loose-Leaf Edition Plus MyLab Math with Pearson eText - 18-Week Access Card Package

3rd Edition

ISBN: 9780136207764

Author: Briggs, William, Cochran, Lyle, Gillett, Bernard, SCHULZ, Eric

Publisher: PEARSON

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Question

Chapter 12.1, Problem 27E

(a)

To determine

To obtain: An equation in terms of x and y by eliminating the parameter t in the parametric equation x=−7cos2t,y=−7sin2t;0≤t≤π.

(b)

To determine

To describe: The curve whose parametric equation is x=−7cos2t,y=−7sin2t;0≤t≤π.

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Chapter 12.1, Problem 26E

Chapter 12.1, Problem 28E

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Calculus, Early Transcendentals, Single Variable Loose-Leaf Edition Plus MyLab Math with Pearson eText - 18-Week Access Card Package

Ch. 12.1 - Identify the graph generated by the parametric...Ch. 12.1 - Prob. 2QC Ch. 12.1 - Describe the curve generated by x = 3 + 2t, y = 12...Ch. 12.1 - Find parametric equations for the line segment...Ch. 12.1 - Use Theorem 12.1 to find the slope of the line x =...Ch. 12.1 - Use the arc length formula to find the length of...Ch. 12.1 - Explain how a pair of parametric equations...Ch. 12.1 - Prob. 2E Ch. 12.1 - Prob. 3E Ch. 12.1 - Give parametric equations that generate the line...

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To obtain: An equation in terms of x and y by eliminating the parameter t in the parametric equation x = − 7 cos 2 t , y = − 7 sin 2 t ; 0 ≤ t ≤ π .

Solution Summary: The author explains the parametric equation in terms of x and y by eliminating the parameter t in the equation.