Explanation Given information : The parametric equation of the curve is x = t 4 , y = t 2 , and the prescribed interval -1 ≤ t ≤ 2 . Formula used : We eliminate the parametert from the parametric equations x = f 1 ( t ) , y = f 2 ( t ) , and sketch the graph in x - y plane. Calculations: The parametric form of the curve is x = t 4 ... (1) y = t 2 ... (2) We find therange of variable x, and yin the prescribed interval -1 ≤ t ≤ 2 . -1 ≤ t ≤ 2 ⇒ 1 ≤ t 4 ≤ 4 ⇒ 1 ≤ x ≤ 4 ... (3) -1 ≤ t ≤ 2 ⇒ 1 ≤ t 2 ≤ 2 ⇒ 1 ≤ y ≤ 2 ... (4) Now, we eliminate the parameter between x and y as follows: From equations (1) and (2), we have x = t 4 ⇒ x = ( t 2 ) 2 = y 2

Calculus: Special Edition: Chapters 1-5 (w/ WebAssign)

6th Edition

ISBN: 9781524908102

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as p…

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Chapter 9.5, Problem 28PS

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Tofind:An explicit relationship between x and y from the equations x=f1(t) , y=f2(t) by elimination the parameter and sketch the path described by parametric equations over the interval.

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Chapter 9.5, Problem 27PS

Chapter 9.5, Problem 29PS

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Chapter 9 Solutions

Calculus: Special Edition: Chapters 1-5 (w/ WebAssign)

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Tofind: An explicit relationship between x and y from the equations x = f 1 ( t ) , y = f 2 ( t ) by elimination the parameter and sketch the path described by parametric equations over the interval.

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Tofind:An explicit relationship between x and y from the equations x=f1(t) , y=f2(t) by elimination the parameter and sketch the path described by parametric equations over the interval.

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Chapter 9 Solutions