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Use polar coordinates to graph the conics in Exercises 44–51.

r=21+cosθ

Short Answer

Expert verified

The graph will be

Step by step solution

01

Step 1. Given information.

The given equation isr=21+cosθ.

02

Step 2. Comparison.

On comparing the given equation,

r=eu1+ecosθThe eccentricitye=1Hereeu=2u=2

03

Step 3. Graph of the equation.

For r=21+cosθthe eccentricity is e=1, so the graph is a parabola. The directrix will be the vertical line x=2.

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