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Write two sets of parametric equations for y - 5x +13 Eliminate the parameter an

ID: 3284654 • Letter: W

Question

Write two sets of parametric equations for y - 5x +13 Eliminate the parameter and write as rectangular equations: x = cos theta y = 3 sin theta x = e2x y = e-t x = h + rcos theta y = k + rcos theta where h,k and r are constants. X = h + a sec theta y = k + b tan theta where h,k, and r constants For x = t + 4 y = t2 Find dy/dx find all points of horizontal tangency, and eliminate the parameter to write a rectangular equation.

Explanation / Answer

2)x^2+(y/3)^2=1 =>9x^2 + y^2 =9 3)xy^2=1 4)(x-h)^2+(y-k)^2=r^2 5)((x-h)/a)^2+((y-k)/b)^2=1 6) a)dx/dt = 1 dy/dt =2t =>dy/dx = 2t at t=0 we will get all horizontal tangencies