Explanation Given info. The ellipse ( x 2 ) 2 + ( y 3 ) 2 = 1 is translated to have center ( 9 , − 4 , 0 ) . Concept used: During translation plane of ellipse is always parallel to x y plane. Parametric form of ellipse ( x 2 ) 2 + ( y 3 ) 2 = 1 is x = a cos θ y = b sin θ where 0 ≤ θ ≤ 2 π Calculation: Parametric form of the ellipse ( x 2 ) 2 + ( y 3 ) 2 = 1 when is in the x y plane. x = 2 cos θ y = 3 sin θ Where θ ∈ [ 0 , 2 π ] Center of ellipse is ( 0 , 0 , 0 ) , so z = 0 r ( t ) = ( 2 cos θ , 3 sin θ , 0 ) ...

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ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 14.1, Problem 44E

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Find a parameterization of the ellipse ${(\frac{x}{2})}^{2} + {(\frac{y}{3})}^{2} = 1$ .

In the $x y$ plane, translated to have center $(9, - 4, 0)$ .

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Chapter 14.1, Problem 43E

Chapter 14.1, Problem 45E

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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 ellipse ( x 2 ) 2 + ( y 3 ) 2 = 1 . In the x y plane, translated to have center ( 9 , − 4 , 0 ) .

Solution Summary: The author explains how the parametric form of the ellipse (x 2) 2 + (y3) 2 = 1 is translated to have center in x y plane.

Videos

Find a parameterization of the ellipse ${(\frac{x}{2})}^{2} + {(\frac{y}{3})}^{2} = 1$ .

In the $x y$ plane, translated to have center $(9, - 4, 0)$ .

Want to see the full answer?

Chapter 14 Solutions

Find a parameterization of the ellipse ( x 2 ) 2 + ( y 3 ) 2 = 1 . In the x y plane, translated to have center ( 9 , − 4 , 0 ) .

Solution Summary: The author explains how the parametric form of the ellipse (x 2) 2 + (y3) 2 = 1 is translated to have center in x y plane.

Videos

Find a parameterization of the ellipse (x2)2+(y3)2=1. In the xy plane, translated to have center (9,−4,0).

Want to see the full answer?

Chapter 14 Solutions

Find a parameterization of the ellipse ${(\frac{x}{2})}^{2} + {(\frac{y}{3})}^{2} = 1$ .

In the $x y$ plane, translated to have center $(9, - 4, 0)$ .