Solve the problem.Let D be the smaller cap cut from a solid ball of radius 8 units by a plane 5 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: D

Mathematics

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Solve the problem.A tower is 618 meters high, and it has an observation deck at the 343-meter level. How far from the top of the tower must a 618-meter-high helicopter be in order that the angle subtended at the helicopter by the part of the tower above the deck equals the angle subtended by the part of the tower below the deck?

A. 829 m B. 18 m C. 1034 m D. 91 m

Mathematics

Use the graph to determine whether the data represent direct variation, inverse variation, or neither.

A. Direct B. Neither C. Inverse

Mathematics

Divide and reduce to lowest terms. ÷ 

A.  
B.
C.
D.

Mathematics

Find the probability.A bag contains 3 blue marbles, 6 green marbles, and 7 red marbles. One marble is drawn from the bag. What is the probability that the marble drawn is not blue?

A.
B.
C.
D.

Mathematics