Solve the problem.Let D be the region that is bounded below by the cone
and above by the sphere
Set up the triple integral for the volume of D in spherical coordinates.
A.
B.
C.
D.
Answer: D
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Factor the expression completely, if possible.144 - x2y4
A. (12 + xy2)(12 - xy2) B. (12 + xy)(12 - xy) C. (12 - y)2 D. (12 + x2y2)(12 - x2y2)
Find the vertex, focus, and directrix of the parabola. Graph the equation.y2 = 16x
A. vertex: (0, 0)
focus: (0, 4)
directrix: y = -4
B. vertex: (0, 0)
focus: (0, 4)
directrix: y = -4
C. vertex: (0, 0)
focus: (-4, 0)
directrix: x = 4
D. vertex: (0, 0)
focus: (4, 0)
directrix: x = -4
Solve.Michael hired Heather to iron his dress shirts. Heather charges $40 an hour plus $0.25 for each shirt ironed. Heather worked 3 hours and sent a bill to Michael for $122. How many shirts did Heather iron?
A. 488 shirts B. 2 shirts C. 32 shirts D. 8 shirts
Solve the absolute value inequality. Write the solution set using interval notation. ? 19
A. [-19, 19] B. (-?, -19] C. (-?, -19] ? [19, ?) D. (-?, 19]