Find the volume of the solid generated by revolving the region about the given axis. Use the shell or washer method.The region bounded by y = 7, y = 7, and x = 0 about the line x = 1

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

Answer: C

Mathematics

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Set up the general equation from the given statement.m is proportional to the square of n and inversely proportional to y and x.

A. m = 
B. m = kn2 + 
C. m = 
D. m = 

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Mathematics

State the dual problem. Use y1, y2, and y3 as the variables. Given: y1 ? 0, y2 ? 0, and y3Minimizew = 2x1 + 3x2 + x3subject to:x1 + 3x2 + 2x3 ? 41 2x1 + 4x2 + 3x3 ? 57 x1 ? 0, x2 ? 0, x3 ? 0

A.

Maximizez = 41y1 + 57y2
subject to:y1 + 2y2 ? 2
 3y1 + 4y2 ? 3
 2y1 + 3y2 ? 1
B. Maximize z = 57y1 + 41y2
subject to:2y1 + y2 ? 2
 4y1 + 3y2 ? 3
 3y1 + 2y2 ? 1
C. Maximize z = 57y1 + 41y2
subject to:2y1 + y2 ? 2
 4y1 + 3y2 ? 3
 3y1 + 2y2 ? 1
D.
Maximizez = 41y1 + 57y2
subject to:y1 + 2y2 ? 2
 3y1 + 4y2 ? 3
 2y1 + 3y2 ? 1

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Mathematics

Determine whether the infinite geometric series converges or diverges. If it converges, find its sum.4 + 8 + 10 + 12 + ...

A. Converges; ? B. Converges; 34 C. Converges; 23 D. Diverges

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Mathematics

Write the expression in condensed form.4 ln  - 5 ln 

A. ln 
B. ln(x6 - y4)
C. ln 
D. ln 

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Mathematics