(a) Explanation Calculation: The parametric equation is x = r − 1 , y = r 3 ; − 4 ≤ r ≤ 4 . Use x = r − 1 and calculate the value of r in terms of x , x = r − 1 r = x + 1 if r = − 4 then x = − 5 if r = 4 then x = 3 Hence, r = x + 1 ; − 5 ≤ x ≤ 3 (b) To determine To describe: The curve whose parametric equation is defined as, x = r − 1 , y = r 3 ; − 4 ≤ r ≤ 4 .

Calculus, Single Variable: Early Transcendentals (3rd Edition)

3rd Edition

ISBN: 9780134766850

Author: William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher: PEARSON

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Question

Chapter 12.1, Problem 25E

(a)

To determine

To obtain: The equation in terms of x and y by eliminating the parameter t in the parametric equation x=r−1,y=r3;−4≤r≤4.

(b)

To determine

To describe: The curve whose parametric equation is defined as, x=r−1,y=r3;−4≤r≤4.

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Chapter 12.1, Problem 24E

Chapter 12.1, Problem 26E

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Chapter 12 Solutions

Calculus, Single Variable: Early Transcendentals (3rd Edition)

Ch. 12.1 - Identify the graph generated by the parametric...Ch. 12.1 - Prob. 2QC Ch. 12.1 - Prob. 3QC Ch. 12.1 - Prob. 4QC Ch. 12.1 - Prob. 5QC Ch. 12.1 - Prob. 6QC Ch. 12.1 - Explain how a pair of parametric equations...Ch. 12.1 - Prob. 2E Ch. 12.1 - Prob. 3E Ch. 12.1 - Prob. 4E

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To obtain: The equation in terms of x and y by eliminating the parameter t in the parametric equation x = r − 1 , y = r 3 ; − 4 ≤ r ≤ 4 .

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

Concept explainers

To obtain: The equation in terms of x and y by eliminating the parameter t in the parametric equation x=r−1,y=r3;−4≤r≤4.

To describe: The curve whose parametric equation is defined as, x=r−1,y=r3;−4≤r≤4.

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Chapter 12 Solutions