14-1 Functions of Several Variables.sagews

var('x', 'y', 't')

(x, y, t)

plot3d(x^2 + y^2, (x, -2, 2), (y, -2, 2))
plot3d(x^2 + y^2, (x, -2, 2), (y, -2, 2), adaptive = True)

3D rendering not yet implemented

3D rendering not yet implemented

s = plot3d(x^2 + y^2, (x, -2, 2), (y, -2, 2))
p = [plot3d(c, (x, -3, 3), (y, -3, 3), opacity = 0.1, color = 'grey') for c in range(1, 8)]
c = [parametric_plot3d([sqrt(c)*cos(t), sqrt(c)*sin(t), c], (t, 0, 2*pi), color='red') for c in range(1, 8)]
show(s+sum(p)+sum(c))

3D rendering not yet implemented

plot3d(sin(x^2 + y^2)/(x^2 + y^2), (x, -3, 3), (y, -3, 3))

3D rendering not yet implemented

plot3d(x*y^2 - x^3, (x, -1, 1), (y, -1, 1), mesh = True)

3D rendering not yet implemented

contour_plot(x*y^2 - x^3, (x, -1, 1), (y, -1, 1))
contour_plot(x*y^2 - x^3, (x, -1, 1), (y, -1, 1), contours = 20, colorbar = True)
contour_plot(x*y^2 - x^3, (x, -1, 1), (y, -1, 1), fill = False, labels = True)

contour_plot(sin(x^2+y^2) * cos(x) * sin(y), (x,-4,4), (y,-4,4), plot_points=200, figsize=(8, 8))

plot3d(y^3 - x^2, (x, -2, 2), (y, -2, 2))

3D rendering not yet implemented

plot3d(1+sqrt(4-y^2), (x, -5, 5), (y, -2, 2))

3D rendering not yet implemented