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10 Cards in this Set

  • Front
  • Back

Parametric equations for a cycloid

How to take second derivative of parametric equations?

length of a parametric curve

sinxcosy

1/2 (sin (x+y)+sin(x-y))

Area between parametric curves

sin2theta

2sinthetacostheta

Testing for symmetry


Plugging negative theta and producing the original equation

Symmetric along polar axis

Testing for symmetry


Subbing in -r or theta replaced by theta+pi gives original equation

Symmetric about the pole

Subbing pi-theta to test symmetry

Symmetric with pi/2 axis

cos^2theta = 1/2+1/2cos2theta

True