Explanation Given info. Circle lies in a plane parallel to the y 2 -plane center of circle ( 1 , 2 , 5 ) Radius of circle 2 . Concept used: Plane of circle is parallel to the y 2 plane so x coordinate of the general point lies on the circle is constant. y and z Coordinate given in the form of cos or sin i.e parametric form of circle Equation of circle in a plane parallel to the y 2 plane is given by x = h ( costant ) y − k = R cos θ Z − l = R sin θ Where ( h , k , l ) center, R: radius. Calculation: Circle is in a plane parallel to the y 2 plane so x coordinate of points lie on the circle do not change. x = 1 Radius of circle = 2 Center of circle = ( 1 , 2 , 5 ) Y coordinate is given by y − k = R cos θ y − 2 = 2 cos θ ( k = 2 , R = 2...

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 14.1, Problem 43E

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Find a parameterization of the circle of radius $2$ with center $(1, 2, 5)$ in a plane parallel. To the $y^{2}$ -plane.

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Chapter 14.1, Problem 42E

Chapter 14.1, Problem 44E

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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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Find a parameterization of the circle of radius 2 with center ( 1 , 2 , 5 ) in a plane parallel. To the y 2 -plane.

Solution Summary: The author calculates the parametric equation of circle in a plane parallel to the y 2 plane so x coordinate of the general point lies on the circle is constant.

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Find a parameterization of the circle of radius $2$ with center $(1, 2, 5)$ in a plane parallel. To the $y^{2}$ -plane.

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Chapter 14 Solutions

Find a parameterization of the circle of radius 2 with center ( 1 , 2 , 5 ) in a plane parallel. To the y 2 -plane.

Solution Summary: The author calculates the parametric equation of circle in a plane parallel to the y 2 plane so x coordinate of the general point lies on the circle is constant.

Concept explainers

Videos

Find a parameterization of the circle of radius 2 with center (1,2,5) in a plane parallel. To the y2-plane.

Want to see the full answer?

Chapter 14 Solutions

Find a parameterization of the circle of radius $2$ with center $(1, 2, 5)$ in a plane parallel. To the $y^{2}$ -plane.