Find an equation for the hyperbola described.Vertices at (±3, 0); foci at (±11, 0)

A.  -  = 1
B.  -  = 1
C.  -  = 1
D.  -  = 1


Answer: B

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

Provide an appropriate response.Write the square root of 81 using a fractional exponent.

A. 9
B. 91/2
C.
D. 811/2

Mathematics

If ?ABC ? ?XYZ then ?XYZ ? ?ABC by _______________.

Fill in the blank(s) with the appropriate word(s).

Mathematics

Find the magnitude of the vector. ?

What will be an ideal response?

Mathematics