Explanation Given information: The parametric equation is x = 3 t − 2 , y = 1 − t ; 0 ≤ t ≤ 9 Explanation: To draw the given parametric equation, plug some values of t in the given equation and find few points on the curve. The interval for t is 0 ≤ t ≤ 9 t x ( t ) y ( t ) ( x , y ) 0 − 2 1 ( − 2 , 1 ) 1 1 0 ( 1 , 0 ) 4 10 − 1 ( 10 , − 1 ) 9 25 − 2 ( 25 , − 2 ) The orientation is curve traced out in a certain direction by the corresponding succession of points ( x , y ) . The arrow shows the orientation along the curve as t varies from 0 ≤ t ≤ 9 . As t takes values from 0 ≤ t ≤ 9 , the corresponding orientation is from ( − 2 , 1 ) to ( 25 , − 2 )

Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)

4th Edition

ISBN: 9780134686974

Author: Michael Sullivan, Michael Sullivan III

Publisher: PEARSON

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Question

Chapter 9, Problem 12CT

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The graph of the curve of a parametric equation x=3t−2, y=1−t; 0≤t≤9, show its orientation. Find the rectangular equation of curve of the parametric equations.

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Chapter 9, Problem 11CT

Chapter 9, Problem 13CT

Chapter 9 Solutions

Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)

Ch. 9.2 - The formula for the distance d from P 1 =( x 1 , y...Ch. 9.2 - To complete the square of x 2 4x , add_______...Ch. 9.2 - Use the Square Root Method to find the real...Ch. 9.2 - The point that is symmetric with respect to the...Ch. 9.2 - To graph , shift the graph of to the...Ch. 9.2 - A(n)_______ is the collection of all point in a...Ch. 9.2 - True or false The line through the focus and...Ch. 9.2 - For the parabola , the line segment joining the...Ch. 9.2 - Answer Problems 9-12 using the figure. If , the...Ch. 9.2 - Answer Problems 9-12 using the figure. The...

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The graph of the curve of a parametric equation x = 3 t − 2 , y = 1 − t ; 0 ≤ t ≤ 9 , show its orientation. Find the rectangular equation of curve of the parametric equations.

Solution Summary: The author explains how to draw the parametric equation by plugging some values of t in the given equation and finding few points on the curve.

Concept explainers

The graph of the curve of a parametric equation x=3t−2, y=1−t; 0≤t≤9, show its orientation. Find the rectangular equation of curve of the parametric equations.

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Chapter 9 Solutions