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10 Cards in this Set
- Front
- Back
Parametric equations for a cycloid |
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How to take second derivative of parametric equations? |
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length of a parametric curve |
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sinxcosy |
1/2 (sin (x+y)+sin(x-y)) |
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Area between parametric curves |
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sin2theta |
2sinthetacostheta |
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Testing for symmetry Plugging negative theta and producing the original equation |
Symmetric along polar axis |
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Testing for symmetry Subbing in -r or theta replaced by theta+pi gives original equation |
Symmetric about the pole |
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Subbing pi-theta to test symmetry |
Symmetric with pi/2 axis |
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cos^2theta = 1/2+1/2cos2theta |
True |