Solve the problem.Find the center of mass of a tetrahedron of constant density bounded by the coordinate planes and the plane .

A.  = 4,  =  = 
B.  = 2,  =  = 
C.  =  = 2,  = 
D.  = 3,  = 4,  = 1


Answer: C

Mathematics

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Provide an appropriate response.(a) Express  as a sum of partial fractions.(b) Evaluate  .(c) Evaluate  .(d) Find a solution to the initial value problem:   = , y(4) = 12.

What will be an ideal response?

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Graph the polar equation.r = 3(1 + 2 sin ?)

A.

B.

C.

D.

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Use Descartes' Rule of Signs and the Rational Zeros Theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x) = 2x4 - 5x3 + 9x2 - 15x + 9

A. -3, -1, 1, - ; f(x) = (x - 1)(2x + 3)(x + 1)(x + 3)
B. 1, ; f(x) = (x - 1)(2x - 3)(x2 + 3)
C. 3, ; f(x) = (x - 3)(2x - 3)(x2  + 1)
D. -3, -1, 1, ; f(x) = (x - 1)(2x - 3)(x + 1)(x + 3)

Mathematics

Solve the formula for the given letter. 

A.
B.
C.
D.
E.

Mathematics