MediumCalculusca-034

Curl of 2D Vector Field

Problem

For the vector field F(x, y) = [a*x^2 + b*x*y, c*x*y + d*y^2], compute the scalar curl at (x, y):

curl F = dQ/dx - dP/dy = c*y - b*x

Hint

Only the cross derivatives matter for the curl of a planar field.

case 1

in: [1,0,1,0,2,3]

expected: 3

case 2

in: [0,1,0,0,5,1]

expected: -5

case 3

in: [2,2,2,2,1,1]

expected: 0

case 4

in: [1,-2,3,1,2,4]

expected: 16

Starter codePython

def curl2d(a, b, c, d, x, y):
    # Your code here
    pass

4 test cases · run your code against them in the editor