Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the 
. y = 4csc x, y = 4
, 
? x ? 
A. 16?2 - 32?
B. ?2 + 8?
C. 4?2 - 16?
D. 16?2 + 32?
Answer: A
Mathematics
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Solve the problem.Find the equation for the tangent plane to the surface 
at the point 
A. x + y + z = 0 B. z = 0 C. x + y = 0 D. x - y = 0
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The graph of a one-to-one function is given. Draw the graph of the inverse function f-1. For convenience, the graph of 
is also give.
A. 
B. 
C. 
D. 
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Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.log5(7 ? 11)
A. (log57)(log511) B. log577 C. log57 + log511 D. log57 - log511
Mathematics
Calculate the following function. Take x > 0.Let 
and 
Find g(x)[f(x)]5
A. x7
B. 
C. 
D. x9/8
Mathematics