Explanation Given info. Two given planes are z = x 2 − y 2 z = x 2 + x y − 1 Concept used: Intersection of a planes can be find out by find the value of x and y with the help to given two equations. Then replace one variable with the parameter. Calculation: z = x 2 − y 2 → ( 1 ) z = x 2 + x y − 1 → ( 2 ) From equation ( 1 ) and ( 2 ) you get x 2 − y 2 = x 2 + x y − 1 x y = 1 − y 2 x = 1 − y 2 y x = 1 y − y x = y − 1 − 1 Find the value of z in the form of y. z = x 2 + x y − 1 = ( y − 1 − y ) 2 + ( y − 1 − y ) y − 1 ( ∵ x = y 2 − y ) = ( y − 1 ) 2 + ( y ) 2 − 2 y − 1 y + y − 1 y − y 2

4th Edition

ISBN: 9781319434526

Author: Rogawski

Publisher: MAC HIGHER

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Question

Chapter 14.4, Problem 42E

To determine

The parameterization of the curve formed buy the surfaces.

$z = x^{2} - y^{2} and z = x^{2} + x y - 1$

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Chapter 14.4, Problem 41E

Chapter 14.4, Problem 43E

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Chapter 14 Solutions

CALCULUS 4E (LL) W/ ACHIEVE ACCESS

Ch. 14.1 - Prob. 1PQ Ch. 14.1 - Prob. 2PQ Ch. 14.1 - Prob. 3PQ Ch. 14.1 - Prob. 4PQ Ch. 14.1 - Prob. 5PQ Ch. 14.1 - Prob. 6PQ Ch. 14.1 - Prob. 1E Ch. 14.1 - Prob. 2E Ch. 14.1 - Prob. 3E Ch. 14.1 - Prob. 4E

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The parameterization of the curve formed buy the surfaces. z = x 2 − y 2 and z = x 2 + x y − 1

Solution Summary: The author explains how to determine the parameterization of the curve formed buy the surfaces.

Concept explainers

The parameterization of the curve formed buy the surfaces.

$z = x^{2} - y^{2} and z = x^{2} + x y - 1$

Want to see the full answer?

Chapter 14 Solutions

The parameterization of the curve formed buy the surfaces. z = x 2 − y 2 and z = x 2 + x y − 1

Solution Summary: The author explains how to determine the parameterization of the curve formed buy the surfaces.

Concept explainers

The parameterization of the curve formed buy the surfaces. z=x2−y2 and z=x2+xy−1

Want to see the full answer?

Chapter 14 Solutions

The parameterization of the curve formed buy the surfaces.

$z = x^{2} - y^{2} and z = x^{2} + x y - 1$