   Chapter 10.4, Problem 34E

Chapter
Section
Textbook Problem

Rectangular-to-Polar Conversion In Exercises 25-34, convert the rectangular equation to polar form and sketch its graph. ( x 2 + y 2 ) 2 − 9 ( x 2 − y 2 ) = 0

To determine

To Calculate:

The polar equation by the rectangular equation (x2+y2)29(x2y2)=0 and then sketch its graph.

Explanation

Formula Used:

The formula is x=rcosθ and y=rsinθ

Calculation:

First convert the rectangular equation into polar form.

Substitute the value x=rcosθ and y=rsinθ in the given rectangular equation, (r2cos2θ+r2sin2θ)29(r2cos2θr2sin2θ)=0

And,

(r2cos2θ+r2sin2θ)2=9(r2cos2θr2sin2

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