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Lukecrayonz
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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?

dpaInc
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Luke... I am your father...

dpaInc
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fire away...

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

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

dpaInc
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about the origin... change the r to r

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

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

dpaInc
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i forgot... 1 more

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

Lukecrayonz
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Pi/theta? Or pi minus theta?

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

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

dpaInc
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HINT^^

dpaInc
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got an answer?

Lukecrayonz
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Yes :D

dpaInc
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it's symmetric about the.....

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

dpaInc
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very good my son....

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

Lukecrayonz
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More questions though.