Hello, please read the description below as I have a specific question for this
ID: 3282898 • Letter: H
Question
Hello, please read the description below as I have a specific question for this problem and do not need it to be worked out all the way through.
Below is my professor's solution for a double integral problem. I understand it except for the selection of boundaries. When the functions are all graphed, there are two potential regions, seperated by the line x=0. Why did my professor select the region on the right? Both regions touch all of the lines mentioned in the problem. Does it matter which of the two regions you select since they are symmetrical (even though one is on the negative end of the x-axis)? Or is it just because the given function for mass only goes through the right half when graphed?
Thank you in advance for your help.
2) Find the mass of a metal plate bounded by x 0, y l and y x, with density given by ?(x,y)=x kg/m2 ACiI) 2Explanation / Answer
Since the region is bounded by x=0 (i.e y axis), we cannot take negative values of x.
If we take the left side also, negative values of x will come into picture and that would be wrong according tho the question. That's the reason that region only on the right side is being considered.
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