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Chapter 9: Q 34. (page 731)

In Exercises 32鈥�47 convert the equations given in polar coordinates to rectangular coordinates.
胃=-蟺6

Short Answer

Expert verified

The required equation isy=-x3.

Step by step solution

01

Step 1. Given information.

The given equation in polar coordinates is:

胃=-蟺6

02

Step 2. Find the equation in rectangular coordinates.

Use the formula tan胃=yx,

tan-蟺6=yx-13=yxSincetan-蟺6=-13-x=3yy=-x3

Therefore, the equation in rectangular coordinates isy=-x3.

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