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OpenStudy (anonymous):

Write the rectangular equation x^3+y^2-2x+0 in polar form....??

OpenStudy (sleepyjess):

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OpenStudy (sleepyjess):

\(\LARGE\cal\color{cyan}{No~Problem!}\\\bbox [10pt, magenta,border:5pt solid blue ]{\color{#00ffab}{\huge\cal ~\heartsuit sleepyjess\heartsuit}}\)

jimthompson5910 (jim_thompson5910):

x^3+y^2-2x+0 is not an equation so there seems to be a typo

OpenStudy (anonymous):

Question: Write the rectangular equation x^3+y^2-2x+0 in polar form....?? A. r=2sin theta B. r^2-2rsin theta =0 C. r= cos2 theta D. r=2cos theta

jimthompson5910 (jim_thompson5910):

an equation has an equal sign, but it's missing in x^3+y^2-2x+0

jimthompson5910 (jim_thompson5910):

is it possible that the x^3 is really x^2 ?

OpenStudy (anonymous):

x^2+y^2-2x=0

jimthompson5910 (jim_thompson5910):

in terms of polar equations, how can we use x^2 + y^2 ? ie, what is x^2 + y^2 equal to in terms of 'r' ?

OpenStudy (anonymous):

Is the answer r=2cos theta

jimthompson5910 (jim_thompson5910):

how are you getting that?

OpenStudy (anonymous):

because r²cos²θ + r²sin²θ - 2r.cos θ = 0 r² - 2r cos θ = 0 r² = 2r cos θ r = 2 cos θ

jimthompson5910 (jim_thompson5910):

yes you are correct, nice work

OpenStudy (anonymous):

r^2cos^2theta+ r^2sin^2theta - 2r cos theta= 0 r^2 = 2rcos theta r^2+ 2r cos theta r = 2 cos theta

OpenStudy (anonymous):

ok thanks a lot

jimthompson5910 (jim_thompson5910):

np

OpenStudy (anonymous):

can you please be able to help me with another problem... I'm actually doing my review sheet and I have to take my final exam tomorrow

jimthompson5910 (jim_thompson5910):

sure, one more

OpenStudy (anonymous):

3 square root 27i

jimthompson5910 (jim_thompson5910):

can you draw it out?

OpenStudy (anonymous):

\[3\sqrt{27i}\]

jimthompson5910 (jim_thompson5910):

thanks

jimthompson5910 (jim_thompson5910):

you need to convert the 27i into polar form

jimthompson5910 (jim_thompson5910):

so how would you do that?

OpenStudy (anonymous):

abs0 + 27i = square root 0^2 + (27)^2 = 27

jimthompson5910 (jim_thompson5910):

yes, so r = 27 what is theta?

OpenStudy (anonymous):

I'm not sure

OpenStudy (anonymous):

Can you please be able to tell me how to solve....

jimthompson5910 (jim_thompson5910):

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jimthompson5910 (jim_thompson5910):

|dw:1418955391962:dw|

jimthompson5910 (jim_thompson5910):

|dw:1418955413995:dw|

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