Multivariable Calculus Question

12. (12) Consider the vector field F(x, y) = (-x, y), which we interpret as a velocity field (flow). (a) (6) Calculate the streamline of a particle placed in the flow at the point (2, 1). Sketch the streamline on the graph of the vector field. Be sure to place a direction arrow on the streamline (the direction should be obvious from the plot). 2 -1 -3 (b) (6) Is F a gradient field? If so, then calculate the potential function f and plot a representative sample of equipotentials on the graph. In particular, be sure to plot the equipotential passing through the point (2, 1)