Find parametric equations for the three level curves of the function
W(x,y) = sin(x) e^y
which pass through the points P = (0,1), Q = (pi/2, 0) and R = (pi/6, 3)
Also compute the vectors of the gradient vector field (gradient of W) at the points P, Q an R
Is this correct to find gradient as follows?
Find the partial derivatives dW/dx and dW/dy
Then find (dW/dx) i + (dW/dy) j at the three points.
But I do not know how to find the parametric equations.