Explanation Given: The polar equation of an ellipse with directrix x = − d . Approach: Use the relation a 2 = e 2 d 2 / ( 1 − e 2 ) 2 … (1) Where a is length of major axis. Calculation: Since, The polar equation of an ellipse with directrix x = − d is r = e d 1 − e cos θ … (2) From equation (1), e d = a ( 1 − To determine b) To find: An approximate polar equation for elliptical orbit of earth around the sun (at one focus).

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ISBN: 8220100548512

Author: Watson

Publisher: CENGAGE L

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Chapter 12.6, Problem 43E

To determine

a)

To prove:

The polar equation of an ellipse with directrix x=−d can be written in the form r=a(1−e2)1−ecosθ.

To determine

b)

To find:

An approximate polar equation for elliptical orbit of earth around the sun (at one focus).

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Chapter 12.6, Problem 42E

Chapter 12.6, Problem 44E

Chapter 12 Solutions

EBK ALGEBRA AND TRIGONOMETRY

Ch. 12.1 - A parabola is the set of all points in the plane...Ch. 12.1 - Prob. 2E Ch. 12.1 - Prob. 3E Ch. 12.1 - Prob. 4E Ch. 12.1 - Prob. 5E Ch. 12.1 - Prob. 6E Ch. 12.1 - 5-10 Graphs of Parabolas Match the equation with...Ch. 12.1 - Prob. 8E Ch. 12.1 - 5-10 Graphs of Parabolas Match the equation with...Ch. 12.1 - Prob. 10E

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a) To prove: The polar equation of an ellipse with directrix x = − d can be written in the form r = a ( 1 − e 2 ) 1 − e cos θ .

Solution Summary: The author explains that the polar equation of an ellipse with directrix x=-d can be written in the form a(1-e2right

Videos

a)

To prove:

The polar equation of an ellipse with directrix x=−d can be written in the form r=a(1−e2)1−ecosθ.

b)

To find:

An approximate polar equation for elliptical orbit of earth around the sun (at one focus).

Want to see the full answer?

Chapter 12 Solutions

a) To prove: The polar equation of an ellipse with directrix x = − d can be written in the form r = a ( 1 − e 2 ) 1 − e cos θ .

Solution Summary: The author explains that the polar equation of an ellipse with directrix x=-d can be written in the form a(1-e2right

Videos

a) To prove: The polar equation of an ellipse with directrix x=−d can be written in the form r=a(1−e2)1−ecosθ.

b) To find: An approximate polar equation for elliptical orbit of earth around the sun (at one focus).

Want to see the full answer?

Chapter 12 Solutions

a)

To prove:

The polar equation of an ellipse with directrix x=−d can be written in the form r=a(1−e2)1−ecosθ.

b)

To find:

An approximate polar equation for elliptical orbit of earth around the sun (at one focus).