Mathematics
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OpenStudy (lukecrayonz):
@dpaInc hi!
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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...
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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
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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?
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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....
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OpenStudy (lukecrayonz):
More questions though.