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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?
Luke... I am your father...
fire away...

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Other answers:

@dpaInc Name the polar symmetry of the graph with the polar equation r=2+2costheta
we gotta test for symmetry... about polar axis... change the theta to -theta...
about the origin... change the r to -r
So when you change it and nothing happens, that means..
it's symmetrical if the equation is the same...
i forgot... 1 more
about the vertical line theta = pi/2, change theta to pi-theta
Pi/theta? Or pi minus theta?
for the last one, change theta to pi-theta this checks for symmetry about the vetical line through the pole.
cosine is even so cos(theta) = cos(-theta)
HINT^^
got an answer?
Yes :D
it's symmetric about the.....
Polar axis: Symmetrical Origin: Not symmetrical Vertical line through the pole: Not symmetrical
very good my son....
go now and teach the ways of the force to others....
More questions though.

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