Solve the inequality. Graph the solution set and write the solution set in set-builder notation.(x + 4)(x - 2)(x - 7) < 0

A. {x}

B. {x}

C. {x}

D. {x}


Answer: C

Mathematics

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Solve the problem.A region in the first quadrant is bounded above by the curve y = tanh x, below by the  on the left by the  and on the right by the line   Find the volume of the solid generated by revolving the region about the x-axis.

A. ?
B. 2?
C. 0
D. - 

Mathematics

Solve the problem.Find the volume generated by revolving about the y-axis the area bounded by the curves 2x2 - y2 = 8, x = 5

A. 28?
B. 28?
C. 14?
D. 28?

Mathematics

Find all the second order partial derivatives of the given function.f(x, y) = cos (xy2)

A.  = - y2 sin xy2 = 2y;   =  = 2
B.  = - y2 sin xy2 = 2[ sin (xy2)- 2y2 cos (xy2)] ;   =  = 2y [sin (xy2)-y2 cos (xy2)]
C.  = -y4 cos xy2 = - 2x[2xy2 cos (xy2) + sin(xy2)];   =  = 
- 2y[xy2 cos (xy2) + sin(xy2)];
D.  = y2 sin xy2 = 2[2y2 cos (xy2) - sin (xy2)] ;   =  = 2y[y2 cos (xy2) - sin (xy2)]

Mathematics

Decide whether or not the given equation is an identity.sin(x + 2?) = sin x

A. Yes B. No

Mathematics