Recent content by Doug
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Undergrad Probability of rolling at least one 6 with three dice
The horse may be cold but there's another way to beat it The probability of getting a 6 on the first roll is: \frac{1}{6} The probability of getting a 6 on the second roll given that we didn't get a 6 on the first is: \frac{5}{6}\cdot\frac{1}{6} The probability of getting a 6 on the...- Doug
- Post #19
- Forum: Set Theory, Logic, Probability, Statistics
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Pulley with cylinder and distance
If you know the acceleration you can just figure it out from that. Doug- Doug
- Post #2
- Forum: Introductory Physics Homework Help
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High School What is the Definition of the SI Unit of Force?
Is it not the force required to accelerate a 1kg mass at 1m/s^2? Doug -
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Undergrad Probability of rolling at least one 6 with three dice
Let's see: Total number of combinations is 6*6*6=216. Number of combinations with exactly one 6 is 25*3=75. Number of combinations with exactly two 6's is 5*3=15. Number of combinations with exactly three 6's is one. Thus the total number of combinations with at least one 6 is...- Doug
- Post #7
- Forum: Set Theory, Logic, Probability, Statistics
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Biographies of Great Mathematicians: A One-Stop Resource
http://www-history.mcs.st-and.ac.uk/history/ Doug- Doug
- Post #2
- Forum: General Math
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Undergrad Maximizing profit on jacket production with exponential revenue
Although we come up with the same answer your reasoning is more universal, shall we say -
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Undergrad Maximizing profit on jacket production with exponential revenue
Then one of the endpoints of the interval takes the prize. Either R(100)>R(250) or vice-versa. Doug -
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Undergrad Maximizing profit on jacket production with exponential revenue
The manufacturer wants to maximize profit thus he wants to maximize revenue. What you need to do is find the number of jackets p that maximizes revenue. The first and second derivatives of R(p) help you find that value. Once you know the number of jackets that maximizes revenue then you can... -
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Undergrad Maximizing profit on jacket production with exponential revenue
Solve \frac {dR} {dp} = 0 for p Then you can use the second derivative test to see if R(p) is a maximum or minimum. Doug