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CHAPTER 11 - FORMULA SHEET 11. Parametric Curve 1. The parametric equations of a curve are the pair: x = f( t) ; y = g( t) ; a • t • b: Here, a and b could be § 1. For smooth curves, these equations can be diﬁerentiated with respect to t. Hyperboloid of One Sheet x2 a2 + y 2 b2 z2 c2 = 1.
parametric equations cheat sheet
solve system of equations for x and y 3. Plug back into original equation for z. Use Second Derivative Test for.