Decide whether the composite functions, f ? g and g ? f, are equal to x.f(x) = , g(x) = 3x + 4

A. Yes, yes
B. No, yes
C. Yes, no
D. No, no


Answer: A

Mathematics

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Provide an appropriate response.The area of the surface formed by revolving the graph of  from  to  about the line  is  The area of the surface formed by revolving the graph of r = f(?) from ? = ? to ? = ? about the

line  is  Use the idea underlying these two integral formulas to find the surface area of the torus formed by revolving the circle r = a about the line  where 

What will be an ideal response?

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Evaluate the integral.

A.
B.
C.
D. - 

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Estimate the slope of the curve at the indicated point.

A. 2
B.
C. - 
D. -2

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Find the limit of the sequence or determine that the limit does not exist.an = 

A. 0 B. does not exist C. 1 D. 8

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