Is My Disk Method Calculation Correct for Finding Volume?

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Homework Statement


Find the volume of the solid generated by revolving the shaded region about the given axis.
61prob14.jpg


Homework Equations


I used the disk method to solve this
V = int from a to b(pi * R(x)^2)


The Attempt at a Solution



V = int from 0 to 2( pi * (3Y/2)^2 dy) = 6pi
 
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TheTaoOfBill said:
Find the volume of the solid generated by revolving the shaded region about the given axis.
Which axis? It's not given.
 
Mark44 said:
Which axis? It's not given.

sorry... Over the Y axis.
 
The region is rotated around (or about) the y-axis. Yes, that's the right answer.
 
Thread 'Use greedy vertex coloring algorithm to prove the upper bound of χ'

Thread 'Use greedy vertex coloring algorithm to prove the upper bound of χ'

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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