MediumCalculusca-254

Divergence in Three Dimensions

Problem

For the vector field F(x, y, z) = [a*x^2*y, b*y^2*z, c*z^2*x], the divergence is 2*a*x*y + 2*b*y*z + 2*c*z*x.

Given the coefficients a, b, c and the point (x, y, z), return the divergence value.

Hint

Differentiate each component with respect to its own coordinate, then sum.

case 1

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

expected: 6

case 2

in: [1,0,0,2,3,4]

expected: 12

case 3

in: [2,3,4,0,0,0]

expected: 0

case 4

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

expected: 16

Starter codePython

def divergence_3d(a, b, c, x, y, z):
    # Your code here
    pass

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