Find a system of inequalities to describe the given region.Points inside the triangle that has vertices (0, 0), (0, 6), and (8, 0).
A. x > 0, y > 0, y > - 
x + 6
B. x > 0, y > 0, y < 
x + 6
C. x > 0, y > 0, y < - 
x + 6
D. x > 0, y > 0, y < - 
x + 8
Answer: C
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Solve the problem.Let D be the region bounded below by the xy-plane, above by the sphere 
and on the sides by the cylinder 
. Set up the triple integral in cylindrical coordinates that gives the volume of D using the order of integration 
.
A. 
B. 
C. 
D. 
Sketch the graph of the function on semilog paper.y = 3x
What will be an ideal response?
Solve the problem.Find the foci and asymptotes of the following hyperbola:4y2 - 25x2 = 100
A. Foci: (
, 0), (-
, 0); Asymptotes: y = 
x, y = - 
x
B. Foci: (
, 0), (-
, 0); Asymptotes: y = 
x, y = - 
x
C. Foci: (0, 
), (0, -
); Asymptotes: y = 
x, y = - 
x
D. Foci: (0, 
), (0, -
); Asymptotes: y = 
x, y = - 
x
Approximate the area of the circle using 3.14 for ?.
A. 40.82 cm2 B. 81.64 cm2 C. 132.665 cm2 D. 530.66 cm2