Evaluate y dr a dy along the following paths from 0 0 to 2 4 a the arc of the parabola y r b the horizontal interval from 0 0 to 2 0 followed by the ver tical interval from 2 0 to 2 4 c the vertical interval from 0 0 to 0 4 followed by the horizontal interval from 0 4 to 2 4 Solution a y dx x dy 1 x t y b dx dt dy 2t dt 72 y dx x dy x t y 0 L y dx 2 dy x y dx a dy 1 dx x dy 1 de dy dt 71 dx dt dy 0 dt 0 1 1 d 1 2 0 dt t 2t dt 72 5 0 t 2 0 t 0 dt 1 0 y dx x dy 16 t 0 dt 0 0 ost 4 Podt 2 dt 16