Solve the problem.The radius of a right circular cylinder is increasing at the rate of , while the height is decreasing at the rate of . At what rate is the volume of the cylinder changing when the radius is 18 in. and the height is 11 in.?

A. 936? in.3/s
B. 144 in.3/s
C. 144? in.3/s
D. -52 in.3/s


Answer: A

Mathematics

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Find the cross product and determine whether the proportion is true or false. = 

A. 100 ? ; false
B. 15 = 15; true
C.  ? 140; false
D. 35 = 35; true

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Write the expression in simplest form. If a radical appears in the denominator, rationalize the denominator.

A.
B. 4 
C.
D.

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Solve the problem.Find the center of mass of the hemisphere of constant density bounded  and the 

A.  = 0,  = 0,  = 
B.  = 0,  = 0,  = 
C.  = 0,  = 0,  = 
D.  = 0,  = 0,  = 1

Mathematics

One mole of gas expands isothermically to triple its volume. If the gas temperature is 400K, what energy (in joules) is absorbed? ? Please enter your answer as a number without the units, rounded to the nearest integer.

Fill in the blank(s) with the appropriate word(s).

Mathematics