Provide an appropriate response.Solve the following system of equations by reduction.

What will be an ideal response?




Mathematics

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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) = 4x2 - y2 - 3z2

A. harmonic B. not harmonic

Mathematics

Evaluate the function for the given value.f(x) = 31 + 2x ; f(1)

A. 9 B. 27 C. 3 D. -1

Mathematics

Use a method of your choice to solve the equation. = 3

A. x = - 
B. x = - 
C. x = 
D. x = - 6

Mathematics

Simplify. + 

A.
B.
C.
D.

Mathematics