Solve the problem.Find the moment of inertia about the x-axis of a thin plane of constant density  bounded by the coordinate axes and the line  .

A. 504
B. 588
C. 686
D.


Answer: C

Mathematics

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Factor the polynomial by substitution.6(p + 1)2 + 7(p + 1) + 2

A. (2p + 2)(3p + 3) B. (2p + 4)(3p + 4) C. (2p + 3)(3p + 5) D. (2p + 1)(3p + 2)

Mathematics

Determine whether the given function is even, odd, or neither.f(x) = -6x5 + 5x3

A. Even B. Odd C. Neither

Mathematics

Find an equation for the conic. If the conic is a parabola, assume that the vertex is at the origin. If the conic is an ellipse or hyperbola, assume that it is centered at the origin.Focus at (12, 0) and e = 

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

Mathematics

Given the polynomial function f(x), find the rational zeros, then the other zeros (that is, solve the equation ), and factor f(x) into linear factors.f(x) = x3 + 3x2 + 9x + 27

A. -3, -3i, 3i; f(x) = (x + 3)(x + 3i)(x - 3i)
B. -3, -, multiplicity 2; f(x) = (x + 3)(x + )2
C. -, multiplicity 2; 3i; f(x) = (x + )2(x - 3i)
D. -3, 27i, 9i; f(x) = (x + 3)(x - 27i)(x - 9i)

Mathematics