(a) Explanation Calculation: The parametric equation is x = t + 4 , y = 3 t ; 0 ≤ t ≤ 16 . Use y = 3 t and calculate the value of t in terms of y as follows. y = 3 t t = y 3 if t = 0 then y = 0 if t = 16 then y = 12 Hence, t = y 3 ; 0 ≤ y ≤ 12 (b) To determine To describe: The curve whose parametric equation is defined as, x = t + 4 , y = 3 t ; 0 ≤ t ≤ 16 .

MyLab Math with Pearson eText -- 24 Month Access -- for Calculus with Integrated Review

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ISBN: 9780135243435

Author: Bill Briggs

Publisher: Pearson Education (US)

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Question

Chapter 12.1, Problem 17E

(a)

To determine

To obtain: The equation in terms of x and y by eliminating the parameter t in the parametric equation x=t+4,y=3t;0≤t≤16.

(b)

To determine

To describe: The curve whose parametric equation is defined as, x=t+4,y=3t;0≤t≤16.

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Chapter 12.1, Problem 16E

Chapter 12.1, Problem 18E

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Chapter 12 Solutions

MyLab Math with Pearson eText -- 24 Month Access -- for Calculus with Integrated Review

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 = t + 4 , y = 3 t ; 0 ≤ t ≤ 16 .

Solution Summary: The author describes 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=t+4,y=3t;0≤t≤16.

To describe: The curve whose parametric equation is defined as, x=t+4,y=3t;0≤t≤16.

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Chapter 12 Solutions