Let F = f(x, y, z) i + g(x, y, z) j + h(x, y, z) k be a vector field in 3-space whose components f, g, and h have continuous second partial derivatives. Calculate div curl F in terms of those partials.
A) + +
B) - - -
C) + +
D) 0
E) - +

Question

Let F = f(x, y, z) i + g(x, y, z) j + h(x, y, z) k be a vector field in 3-space whose components f, g, and h have continuous second partial derivatives. Calculate div curl F in terms of those partials.
A) + + 
B) - - - 
C) + + 
D) 0 
E) - +

Quizplus · Accepted Answer

The Answer of Let F = f(x, y, z) i + g(x, y, z) j + h(x, y, z) k be a vector field in 3-space whose components f, g, and h have continuous second partial derivatives. Calculate div curl F in terms of those partials.
A) + + 
B) - - - 
C) + + 
D) 0 
E) - +

Let F = F(x, Y, Z) I + G(x, Y