(a) Explanation Definition used: The equations are x = x 0 + a t , y = y 0 + b t , for − ∞ < t < ∞ . Here x 0 , y 0 , a and b are constants with a ≠ 0 . This describes the line with slope b a passing through the point ( x 0 , y 0 ) . If a = 0 and b ≠ 0 , the line is vertical. Calculation: Given that, x = 5 , y = 3 t ; − ∞ ≤ t ≤ ∞ (b) To determine To describe: The curve whose parametric equation is x = 5 , y = 3 t ; − ∞ ≤ t ≤ ∞ .

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 30E

(a)

To determine

To obtain: The equation in terms of x and y by eliminating the parameter t in the parametric equation x=5,y=3t;−∞≤t≤∞.

(b)

To determine

To describe: The curve whose parametric equation is x=5,y=3t;−∞≤t≤∞.

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Chapter 12.1, Problem 29E

Chapter 12.1, Problem 31E

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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 = 5 , y = 3 t ; − ∞ ≤ t ≤ ∞ .

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=5,y=3t;−∞≤t≤∞.

To describe: The curve whose parametric equation is x=5,y=3t;−∞≤t≤∞.

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Chapter 12 Solutions