MATH 182A Lecture 11: 10.1_curves-defined-by-parametric-equations
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A curve de ned by a parametric equation is a curve de ned by: y = f (t) y = g(t) t0 t t1. 4 x = cos( ) y = sin( ) Eliminate the parameters and nd the equation of the graph in terms of y and x: x = 1 + t y = 5 2t 2 t 3. 8 t = x 1 y = 5 2(x 1) y = 5 2x + 2 y = 2x + 7. Eliminate the parameters and nd the equation of the graph in terms of y and x: x = t2 y = t3. Eliminate the parameters and nd the equation of the graph in terms of y and x: x = sin( ) y = cos( ) 1 x2 = sin2( ) y2 = cos2( ) x2 + y2 = sin2( ) + cos2( ) = 1.
