Find the volume of the solid generated by revolving the region about the given axis. Use the shell or washer method.The triangle with vertices (0, 0), (0, 2), and (6, 2) about the line x = 6
A. 12?
B. 24?
C. 48?
D. 60?
Answer: C
Mathematics
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Solve.For f(x) = (x + 5)(x - 6)(x - 9), find all x-values for which f(x) > 0.
A. (-?, -5) ? (6, 9) or {x|x < -5 or 6 < x < 9} B. (-5, 6) ? (9, ?) or {x|-5 < x < 6 or x > 9} C. (-?, 6) or {x| x < 6} D. (9, ?) or {x|x > 9}
Mathematics
Solve the problem.Let D be the smaller cap cut from a solid ball of radius 7 units by a plane 4 units from the center of the sphere. Set up the triple integral for the volume of D in rectangular coordinates.
A.
B.
C.
D.
Mathematics
Classify the angle as acute, obtuse, straight, or right.
A. Obtuse B. Right C. Acute D. Straight
Mathematics
Find the inverse of the matrix.
a.
b.
c.
d.
e.
Mathematics