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Chapter 9: Q.30 (page 747)

Graph the equations in Exercises 25–32 in the polar plane. Compare your graphs with the corresponding graphs in Exercises 17–24.

r=θ,r≤0

Short Answer

Expert verified

The required graph is as follows,

Step by step solution

01

Step 1. Given Information.

The given polar equation isr=θ,r≤0.

02

Step 2. Explanation.

We have r=θ. r is negative so points are plotted in the diagonally opposite quadrant.

So, graph of the equation is as follows,

03

Step 3. Compare the graphs.

The graph of the equation in polar plane is spiral curve and the graph in θr-plane is as follows,

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Measurements indicate that the orbital eccentricity of Mars is0.0935 and its semimajor axis is 1.517323951astronomical units.

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