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
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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. -
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?
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)]
Decide whether or not the given equation is an identity.sin(x + 2?) = sin x
A. Yes B. No