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

Question 95

Multiple Choice

For what value(s) of the constant k is the function f(x, y, z) = 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 sin(kz) a harmonic function in 3-space? Note that a harmonic function f in 3-space satisfies 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 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 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 = 0.


A) k = 7
B) k = ± 1
C) k = ± 5
D) k = 0
E) k = ±4

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