Solve the problem.Let D be the smaller cap cut from a solid ball of radius 3 units by a plane 2 units from the center of the sphere. Set up the triple integral for the volume of D in cylindrical coordinates.
A.
B.
C.
D.
Answer: A
Mathematics
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Given the graph of f, find any values of x at which f ' is not defined.
A. x = -2, 0, 2 B. x = -3, 3 C. x = -3, 0, 3 D. x = -2, 2
Mathematics
Solve the problem.Find the points of intersection of the parabola and the circle with center at the origin and radius 12.
A. and
B. and
C. (-4, -16) and (-4, 16)
D. (-16, -16) and (-16, 16)
Mathematics
Solve.Find the volume of the solid generated by revolving the region in the first quadrant bounded by the coordinate axes, the curve y = e-3x, and the line x = 8 about the y-axis.
A. ?(1 - 23 e-24)
B. ?(1 - 25 e-24)
C. - ?(1 + 25 e-24)
D. ?(1 - 24 e-24)
Mathematics
Solve the equation by completing the square.36x2 + 72x + 35 = 0
A.
B.
C.
D.
Mathematics