Examples for Multivariable Calculus
var('y') plot3d(x^2 + y^2, (x, -2, 2), (y, -2, 2))
var('y', 't') S = plot3d(x^2 + y^2, (x, -3, 3), (y, -3, 3)) C = [parametric_plot3d((sqrt(c)*cos(t), sqrt(c)*sin(t), c), (t, 0, 2*pi), color='black') for c in range(1, 10)] show(S + sum(C), aspect_ratio = [1, 1, 0.4])
# 51 plot3d(x*y^2 - y^3, (x, -1, 1), (y, -1, 1)) contour_plot(x*y^2 - y^3, (x, -1, 1), (y, -1, 1), contours = 10, labels = True, colorbar = True)
# 52 plot3d(x*y^3 - y*x^2, (x, -2, 2), (y, -2, 2), aspect_ratio = [1, 1, 0.1]) contour_plot(x*y^3 - y*x^2, (x, -2, 2), (y, -2, 2), contours = 15, labels = True)