Explanation Given info. Equation of the surfaces x 2 + y 2 = 1 and z = 4 x 2 . Concept used : Solve in the given equation in the form of one variable either in the form of x or y . Parametric equation x 2 + y 2 = a 2 is ( a cos θ , a sin θ ) . Calculation: x 2 + y 2 = 1 Parametric equation x 2 + y 2 = a 2 is ( a cos θ , a sin θ ) Hence x = a cos θ y = a sin θ On comparison with this, you get x = cos θ y = sin θ These points lie lies on the surface x 2 + y 2 = 1 , so to find the point of intersection put these value either x = cos θ , or y = si...

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 14.1, Problem 35E

To determine

Use sine and cosine to parameterize the intersection of the surfaces

$x^{2} + y^{2} = 1 and z = 4 x^{2}$

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Chapter 14.1, Problem 34E

Chapter 14.1, Problem 36E

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Chapter 14 Solutions

CALCULUS (CLOTH)

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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Use sine and cosine to parameterize the intersection of the surfaces x 2 + y 2 = 1 and z = 4 x 2

Solution Summary: The author explains the parametric equation of x 2 + y 2 = 1 and z = 4.

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Use sine and cosine to parameterize the intersection of the surfaces

$x^{2} + y^{2} = 1 and z = 4 x^{2}$

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Chapter 14 Solutions

Use sine and cosine to parameterize the intersection of the surfaces x 2 + y 2 = 1 and z = 4 x 2

Solution Summary: The author explains the parametric equation of x 2 + y 2 = 1 and z = 4.

Concept explainers

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Use sine and cosine to parameterize the intersection of the surfaces x2+y2=1 and z=4x2

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Chapter 14 Solutions

Use sine and cosine to parameterize the intersection of the surfaces

$x^{2} + y^{2} = 1 and z = 4 x^{2}$