Provide an appropriate response.True or false? The principal square root of 16 is 4.

A. True
B. False


Answer: A

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) = x2y2z2

A. harmonic B. not harmonic

Mathematics

Make a line graph of the data.The number of male runners M in a small town marathon during year x

A.

B.

C.

D.

Mathematics

Multiply.-7ax2(8ax3 + 4x2 - 5a)

A. -56a2x5 - 28ax4 B. -56a2x5 - 28ax4 + 35a2x2 C. -56ax3 - 28x2 + 35a D. -56a2x5 + 4x2 - 5a

Mathematics

Solve the equation. If the solutions involve square roots, give both the exact solutions and the approximate solutions to three decimal places.16b2 + 32b = -15

A. - , - 
B.
C.
D. - , - 

Mathematics