MATH 182A Lecture Notes - Lecture 11: Parametric Equation
Document Summary
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( ) 0 2 dy dx dy/dt dx/dt. Example 1 x = 1 + t y = 5 2t 2 t 3. Example 2 t = x 1 y = 5 2(x 1) y = 5 2x + 2 y = 2x + 7 x = t2 y = t3. Example 3 x = sin( ) y = cos( ) 1 x2 = sin2( ) y2 = cos2( ) x2 + y2 = sin2( ) + cos2( ) = 1 x2 + y2 = 1. Example 4 x = 2 sin( ) y = 4 + cos( ) + (y 4)2 = sin2( ) + cos2( ) = 1 x2. If any errors are found, please contact me at alvin. lin. dev@gmail. com.
