Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the . y = x, y = 0, x = 2, x = 3

A. ?
B. ?
C. ?
D. ?


Answer: C

Mathematics

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Evaluate the double integral over the given region. R = 

A.
B.
C.
D. ?

Mathematics

Provide an appropriate response. Solve the given problem: A tank has two pipes entering it and one leaving it. Pipe 1 fills the tank in 4 minutes. Pipe 2 takes 9 minutes to fill the same tank. Pipe 3 empties the tank in 24 minutes. How much time does it take to fill the tank with all three pipes operating at the same time?

A. 0.04 min B. 3.13 min C. 2.77 min D. 3.27 min

Mathematics

Evaluate the integral. 

A.  ln   +  ln   + C
B.  ln   -  ln   + C
C.  et  ln   -  et  ln   + C
D.  ln   -  ln   + C

Mathematics

Solve the problem.Jill, the tallest female in the sophomore class, has a height of 69.75 inches. The heights of sophomore females are normally distributed with mean 62.7 inches and standard deviation 2.5 inches. Determine the z-score corresponding to Jill's height.

A. z = 2.62 B. z = 2.72 C. z = 3.02 D. z = 2.82

Mathematics