Calculating Volume Using Double Integrals: Finding the Boundaries and Limits

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Homework Statement




given two surfaces S1={(x,y,z)|z=50-X^2} S2={(x,y,z)|z=9y^2+16} find the volume

1.V1 bounded above by S1 and below by S2 and on the sides by the vertical planes X=1 X=-1 Y=1 Y=-1

2 the solid V2 bounded above by S1 and below by S2 and on the sides by the vertical cylinder X^2+y^2=1

3.the solid V3 which is bounded above by the surface S1 below by S2

Homework Equations





The Attempt at a Solution



hey Please give me a help because i don't have much time !exam is today and want to understand these kind of questions !it will be nice if u can give me the steps to solve this kind of problem rather that giving answers to this questions!
 
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The exam is today and you have no idea how to even start these problems? (1), at least, is almost trivial. I would expect a problem like that to be in an earlier chapter from (2) and (3). Please try. You learn mathematics by doing mathematics, not by watching others do it.
 
ok thanks !i found the way !
 
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Hi! I am struggling with the exercise I mentioned under "Homework statement". The exercise is about a specific "greedy vertex coloring algorithm". One definition (which matches what my book uses) can be found here: https://people.cs.uchicago.edu/~laci/HANDOUTS/greedycoloring.pdf Here is also a screenshot of the relevant parts of the linked PDF, i.e. the def. of the algorithm: Sadly I don't have much to show as far as a solution attempt goes, as I am stuck on how to proceed. I thought...
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