volume of regions problem.

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xomandi

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Oct 1, 2006
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We have three regions of interest.

Region A is the region between y = l and the graph of y = 1/1+x^2 from x = 0 to x = 1

Region B is the region between the y-axis and y = e^x from y = 1 to y = e.

Region C is the region between y= e^x and the line y = l.

So basically, the question asks to find certain volumes generated by revolving a region around the x or y axis, which is fine.. that I can do.. but first I need to find the equation of the line y = l. this is where I have no idea what to do.

please help! does this have anything to do with y = l and y = 1/1+x^2 intersecting at x = 0 and x = 1?
 
this line y = (lower case L)?, how is it related to any of the functions?

Is (lower case L) a constant, or is it of the form mx+b ?

do you have a picture of the line y = (lower case L) that we cannot see?
 
yes, there is a picture.. it is a straight line y = (lower case L) which intersects the curve of y = e^x and (0,1) and (1, some y value higher than 2.5 and lower than 3).

and the hint we got for this problem states that the first step is to find the equation of the line y = (lower case L)
 
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