   Chapter 12.6, Problem 10E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# SKILLS3-10 Finding a Polar Equation for a Conic Write a polar equation of a conic that has its focus at the origin and satisfies the given conditions.Ellipse, eccentricity 0.4 , vertex at ( 2 , 0 ) .

To determine

The polar equation of an ellipse.

Explanation

Given:

Vertex of ellipse is (2,0), eccentricity is 0.4, focus is at the origin and directrix is the parallel to the polar axis.

Approach:

Write the standard equation of ellipse.

r=ed1+ecosθ(1)

Calculation:

Focus is at the origin and vertex of ellipse is (2,0) then directrix will be x=4.

Substitute 0.4 for e and 4 for d in equation (1) as follows

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