Explanation Given information: The polar equation of an ellipse is r = e p 1 − e cos θ . Calculation: The polar equation of an ellipse is r = e p 1 − e cos θ (Given) We know that c = a e . a e = c = e 2 p 1 − e 2 ⇒ a e = e 2 p 1 − e 2 ⇒ a = e p 1 − e 2

Precalculus: A Unit Circle Approach, Books a la Carte Edition plus MyMathLab with Pearson eText -- Access Card Package (2nd Edition)

2nd Edition

ISBN: 9780321869401

Author: J. S. Ratti

Publisher: PEARSON

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Question

Chapter 8.6, Problem 53E

To determine

To prove:

The polar equation of an ellipse r=ep1−ecosθ can be expressed in the form r=a(1−e2)1−ecosθ.

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Chapter 8.6, Problem 52E

Chapter 8.6, Problem 54E

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Chapter 8 Solutions

Precalculus: A Unit Circle Approach, Books a la Carte Edition plus MyMathLab with Pearson eText -- Access Card Package (2nd Edition)

Ch. 8.2 - Prob. 1E Ch. 8.2 - Prob. 2E Ch. 8.2 - Prob. 3E Ch. 8.2 - Prob. 4E Ch. 8.2 - Prob. 5E Ch. 8.2 - Prob. 6E Ch. 8.2 - Prob. 7E Ch. 8.2 - Prob. 8E Ch. 8.2 - Prob. 9E Ch. 8.2 - Prob. 10E

Knowledge Booster

To prove: The polar equation of an ellipse r = e p 1 − e cos θ can be expressed in the form r = a ( 1 − e 2 ) 1 − e cos θ .

Solution Summary: The author explains that the polar equation of an ellipse r=ep1-emathrmcostheta can be expressed in the

To prove:

The polar equation of an ellipse r=ep1−ecosθ can be expressed in the form r=a(1−e2)1−ecosθ.

Want to see the full answer?

Chapter 8 Solutions

To prove: The polar equation of an ellipse r = e p 1 − e cos θ can be expressed in the form r = a ( 1 − e 2 ) 1 − e cos θ .

Solution Summary: The author explains that the polar equation of an ellipse r=ep1-emathrmcostheta can be expressed in the

To prove: The polar equation of an ellipse r=ep1−ecosθ can be expressed in the form r=a(1−e2)1−ecosθ.

Want to see the full answer?

Chapter 8 Solutions

To prove:

The polar equation of an ellipse r=ep1−ecosθ can be expressed in the form r=a(1−e2)1−ecosθ.