The scalar function div(grad f) = ? ? ? f (also written ?2f) is called the Lapalacian, and the function f satisfying ?2f = 0 is said to be harmonic. ?2f = fxx + fyy + fzz. Find ?2f for the following function and decide if it is harmonic.f(x, y, z) = x2y2z2
A. harmonic
B. not harmonic
Answer: B
Mathematics
You might also like to view...
Match the given equation with one of the graphs.y2 - 4x2 = 4
A. 
B. 
C. 
D. 
Mathematics
Calculate in decimal form. 49
- 12.1
A. 61.725 B. 48.1125 C. 37.525 D. 600.4625
Mathematics
Convert the polar equation to a rectangular equation.r = 
A. 17x2 + 16y2 - 16x - 64 = 0 B. 16x2 + 16y2 + 16x - 64 = 0 C. 15x2 + 16y2 + 16x - 64 = 0 D. 16x2 + 15y2 + 16y - 64 = 0
Mathematics
Multiply. Write the answer in simplest form.
? 
A. 
B. 
C. 
D. - 
Mathematics