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hardcore!

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1. Give the volume of the solid generated by revolving the region bounded by the graph of y=ln (x), the x-axis, the lines x=1 and x=e, about the y-axis.

a) 0.25pi(e^4 -1)
b) 0.5pi(e^2 +1)
c) 0.25pi(e^4 +1)
d) 0.5pi(e^2 +1)

2. Give the approximate average value of the function f(x) = 4x ln (2x) over the interval [1,4].

a) 15.54
b) 19.71
c) 16.71
d) 12.54

3. Give the volume of the solid generated by revolving t...

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