For what value(s) of the constant k is the function f(x, y, z) = sin(kz) a harmonic function in 3-space? Note that a harmonic function f in 3-space satisfies + + = 0.
A) k = 7
B) k = ± 1
C) k = ± 5
D) k = 0
E) k = ±4

Question

For what value(s) of the constant k is the function f(x, y, z) =  sin(kz) a harmonic function in 3-space? Note that a harmonic function f in 3-space satisfies  +  +  = 0.
A) k = 7 
B) k = ± 1 
C) k = ± 5 
D) k = 0 
E) k = ±4

Quizplus · Accepted Answer

The Answer of For what value(s) of the constant k is the function f(x, y, z) =  sin(kz) a harmonic function in 3-space? Note that a harmonic function f in 3-space satisfies  +  +  = 0.
A) k = 7 
B) k = ± 1 
C) k = ± 5 
D) k = 0 
E) k = ±4

For What Value(s) of the Constant K Is the Function