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Integral of 1 over radical (6x-x^2) —Preceding unsigned comment added by 169.229.75.140 ( talk) 01:10, 13 September 2008 (UTC)
Now the OP has had time to think. First substituting x=3+3t and later substituting t=sinv gives
So
Bo Jacoby ( talk) 01:24, 14 September 2008 (UTC).
OK, at least one nonsensical answer appears above and at least one that is needlessly complicated. Let's try being straightforward: if you're not instantly thinking completing the square then there's a gap in your understanding that you badly need to fill. So:
If
then
so
Pretty routine once you've practiced a bit. But if you don't recognize this immediately as a completing-the-square problem, you need to learn this: the purpose of completing the square is always to reduce a quadratic polynomial with a first-degree term to a quadratic polynomial with no first-degree term. Michael Hardy ( talk) 03:27, 14 September 2008 (UTC)
My wife went to work the other day and my son joked and said "We may never see her again." We laughed a bit but I got to wondering, what are the chances that we may never see here again? How does one go about establishing the probability that any one particular event like that is canoccur? I think that you would start let's say with the number of highway fatalities in the area in any one week or year, and then perhaps calculate the number or vehicals that travel on the roads that make it home safe every day and so on. I never studied statistics or probability - so I am curious how the though process in this sort of event is calcutate. Just so we are clear - I do wish my wife to come every day. 142.68.147.80 ( talk) 17:43, 13 September 2008 (UTC)
You also need to take into account that both father and son could lose their eye sight. "Thus never seeing her again." —Preceding unsigned comment added by 203.202.144.223 ( talk) 04:27, 16 September 2008 (UTC)
To make it really complex and assuming that god exists, the events that you said 'you may never see her again' and that 'you really don't see her again', may be dependent and in that case just saying that 'you won't see her again' may increase the probability of the event!
Topology Expert ( talk) 13:28, 17 September 2008 (UTC)
Mathematics desk | ||
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< September 12 | << Aug | September | Oct >> | September 14 > |
Welcome to the Wikipedia Mathematics Reference Desk Archives |
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The page you are currently viewing is an archive page. While you can leave answers for any questions shown below, please ask new questions on one of the current reference desk pages. |
Integral of 1 over radical (6x-x^2) —Preceding unsigned comment added by 169.229.75.140 ( talk) 01:10, 13 September 2008 (UTC)
Now the OP has had time to think. First substituting x=3+3t and later substituting t=sinv gives
So
Bo Jacoby ( talk) 01:24, 14 September 2008 (UTC).
OK, at least one nonsensical answer appears above and at least one that is needlessly complicated. Let's try being straightforward: if you're not instantly thinking completing the square then there's a gap in your understanding that you badly need to fill. So:
If
then
so
Pretty routine once you've practiced a bit. But if you don't recognize this immediately as a completing-the-square problem, you need to learn this: the purpose of completing the square is always to reduce a quadratic polynomial with a first-degree term to a quadratic polynomial with no first-degree term. Michael Hardy ( talk) 03:27, 14 September 2008 (UTC)
My wife went to work the other day and my son joked and said "We may never see her again." We laughed a bit but I got to wondering, what are the chances that we may never see here again? How does one go about establishing the probability that any one particular event like that is canoccur? I think that you would start let's say with the number of highway fatalities in the area in any one week or year, and then perhaps calculate the number or vehicals that travel on the roads that make it home safe every day and so on. I never studied statistics or probability - so I am curious how the though process in this sort of event is calcutate. Just so we are clear - I do wish my wife to come every day. 142.68.147.80 ( talk) 17:43, 13 September 2008 (UTC)
You also need to take into account that both father and son could lose their eye sight. "Thus never seeing her again." —Preceding unsigned comment added by 203.202.144.223 ( talk) 04:27, 16 September 2008 (UTC)
To make it really complex and assuming that god exists, the events that you said 'you may never see her again' and that 'you really don't see her again', may be dependent and in that case just saying that 'you won't see her again' may increase the probability of the event!
Topology Expert ( talk) 13:28, 17 September 2008 (UTC)