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Mathematics 20 Online
OpenStudy (lukecrayonz):

@dpaInc hi!

OpenStudy (lukecrayonz):

We just did this, but the assignment got reset for some reason, so we are going to have to do the same type of problems again, wanna help again?

OpenStudy (anonymous):

Luke... I am your father...

OpenStudy (anonymous):

fire away...

OpenStudy (lukecrayonz):

@dpaInc Name the polar symmetry of the graph with the polar equation r=2+2costheta

OpenStudy (anonymous):

we gotta test for symmetry... about polar axis... change the theta to -theta...

OpenStudy (anonymous):

about the origin... change the r to -r

OpenStudy (lukecrayonz):

So when you change it and nothing happens, that means..

OpenStudy (anonymous):

it's symmetrical if the equation is the same...

OpenStudy (anonymous):

i forgot... 1 more

OpenStudy (anonymous):

about the vertical line theta = pi/2, change theta to pi-theta

OpenStudy (lukecrayonz):

Pi/theta? Or pi minus theta?

OpenStudy (anonymous):

for the last one, change theta to pi-theta this checks for symmetry about the vetical line through the pole.

OpenStudy (anonymous):

cosine is even so cos(theta) = cos(-theta)

OpenStudy (anonymous):

HINT^^

OpenStudy (anonymous):

got an answer?

OpenStudy (lukecrayonz):

Yes :D

OpenStudy (anonymous):

it's symmetric about the.....

OpenStudy (lukecrayonz):

Polar axis: Symmetrical Origin: Not symmetrical Vertical line through the pole: Not symmetrical

OpenStudy (anonymous):

very good my son....

OpenStudy (anonymous):

go now and teach the ways of the force to others....

OpenStudy (lukecrayonz):

More questions though.

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