Replace the Cartesian equation with equivalent polar equations. (x-3)^{2}

babeeb0oL

babeeb0oL

Answered question

2021-09-19

Replace the Cartesian equation with equivalent polar equations.
(x3)2+(y+1)2=4

Answer & Explanation

Demi-Leigh Barrera

Demi-Leigh Barrera

Skilled2021-09-20Added 97 answers

Step 1
It is given that (x3)2+(y+1)2=4
Step 2
Expand the given equation as follows:
(x3)2+(y+1)2=4
x2+96x+y2+1+2y=4
x2+y2+9+14+2y6x=0
x2+y2+6+2y6x=0
Substitute x2+y2+r2,x=rcos0,y=rsin0  x2+y2+6+2y6x=0.
x2+y2+6+2y6x=0
r2+6+2(rsin0)6(rcos0)=0
r2+2(sin03cos0)r+6=0
Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-27Added 2605 answers

Answer is given below (on video)

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