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Pablo
Never Draws a Blank
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 Posted: Thu Oct 06, 2011 4:25 pm Post subject: 3001 |
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| Jack_Ian wrote: |
| I'll bet you can't let me have the last word on this issue! (ftw) |
I'll bet you $1,000 that I can. Are we on?
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All religions are the same - Guilt....just with different holidays. |
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bgg1996
BeeGees are awesome!
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| Posted: Thu Oct 06, 2011 9:25 pm Post subject: 3002 |
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| Pablo wrote: |
| bgg1996 wrote: |
| Pablo wrote: |
| bgg1996 wrote: |
| Pablo wrote: |
For Zag....my wife and son (and his new bike):
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I bet you're over 5 times my age. |
If you're a teenager, I'd win.
But I bet you couldn't do the workout I did at the gym today.  |
I bet you couldn't do my precalc homework for me. |
I have an engineering degree from Carnegie-Mellon University, including 2 years of calculus and differential equations. I think I'd win this bet also.
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There's only one way to find out! 
And what if he accepts your bet via PM?
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The one member below 18 |
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Zag
Unintentionally offensive old coot
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| Posted: Thu Oct 06, 2011 10:44 pm Post subject: 3003 |
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| Pablo wrote: |
| Jack_Ian wrote: |
| I'll bet you can't let me have the last word on this issue! (ftw) |
I'll bet you $1,000 that I can. Are we on? |
Jack_Ian, you should post this:
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Pablo
Never Draws a Blank
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| Posted: Thu Oct 06, 2011 11:09 pm Post subject: 3004 |
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| bgg1996 wrote: |
| Pablo wrote: |
| bgg1996 wrote: |
| Pablo wrote: |
| bgg1996 wrote: |
| Pablo wrote: |
For Zag....my wife and son (and his new bike):
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I bet you're over 5 times my age. |
If you're a teenager, I'd win.
But I bet you couldn't do the workout I did at the gym today. |
I bet you couldn't do my precalc homework for me. |
I have an engineering degree from Carnegie-Mellon University, including 2 years of calculus and differential equations. I think I'd win this bet also.
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There's only one way to find out!
And what if he accepts your bet via PM? |
Send me a problem! I'll give it a shot.
_________________
All religions are the same - Guilt....just with different holidays. |
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Zag
Unintentionally offensive old coot
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| Posted: Thu Oct 06, 2011 11:44 pm Post subject: 3005 |
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| Since, of course, you don't want to be sending the homework back to bgg, I'll volunteer to grade Pablo's work. If there's anything I'm not sure of (doubtful), I'll send it to Zahariel, who graduated CMU a little more recently than Pablo, and with a Math minor to go with his Computer Science major. |
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Pablo
Never Draws a Blank
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| Posted: Fri Oct 07, 2011 12:12 am Post subject: 3006 |
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That sounds like a fair process. I'm good with that and I hereby promise that I will not seek any help with the problem, either from other people or non-human resources. If I can't solve it, I will humbly admit so and will send my diploma back to C-MU.
Oh wait, I have no clue where my diploma is. I haven't seen it in many years.
So, disregard that last part. 
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All religions are the same - Guilt....just with different holidays. |
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Pablo
Never Draws a Blank
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| Posted: Fri Oct 07, 2011 12:15 am Post subject: 3007 |
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OK, bgg.....BRING IT!
And by the way, Mr. 1/5 my age, I cranked out 980 calories in 60 minutes today on the Precor upright stationary bike in case you'd like to make this a duathlon.
If so, I'm sure Zag will come and observe your workout. 
_________________
All religions are the same - Guilt....just with different holidays. |
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Quailman
His Postmajesty
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| Posted: Fri Oct 07, 2011 2:43 am Post subject: 3008 |
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| Calculus has changed a bit since you learned using base sixty. |
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Antrax
ESL Student
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| Posted: Fri Oct 07, 2011 8:45 am Post subject: 3009 |
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This is one of the weirder things I've seen happen on the GL. bgg, if you need help with your homework, you can just ask.
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After years of disappointment with get rich quick schemes, I know I'm gonna get rich with this scheme. And quick! |
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Pablo
Never Draws a Blank
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| Posted: Fri Oct 07, 2011 1:14 pm Post subject: 3010 |
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Well, at least he knew who to scam. i'm probably the only one here both able to help and stupid enough to fall for his scheme.
Plus...he figured challenging an old guy like me would assure that he wouldn't get some kind of physical counter-challenge.... BWAHAHAHAHA!
_________________
All religions are the same - Guilt....just with different holidays. |
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Antrax
ESL Student
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| Posted: Fri Oct 07, 2011 5:21 pm Post subject: 3011 |
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I'm actually curious if you'll get it. I was surprised I still remember my calculus, and it's only been a few years since I graduated. I seriously doubt I'll remember any of it 30 years from now.
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After years of disappointment with get rich quick schemes, I know I'm gonna get rich with this scheme. And quick! |
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jesternl
Yankee Doodle Dutchie
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| Posted: Fri Oct 07, 2011 5:32 pm Post subject: 3012 |
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| I *know* I don't remember most of my calculus any longer, and I was good at it too. |
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Pablo
Never Draws a Blank
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| Posted: Fri Oct 07, 2011 7:20 pm Post subject: 3013 |
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A few years ago I was confronted with a problem....a cylindrical hole through a cylinder is 6" in height. What is the volume of the remaining part of the sphere?
This would have been approximately 2000, some 32 years after I got my degree. I was able to set up definite integral and solve...getting the correct answer. I still have the piece of paper I did it on. Of course, I since learned a much simpler way of solving that very problem, one that only requires the ability to find the volume of a sphere.
Also, I can still derive the quadratic formula by the completion of squares method....which I learned in high school. I discovered that memory when helping my wife through a math course she was taking not long ago.
Don't ask about my short term memory.
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All religions are the same - Guilt....just with different holidays. |
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bgg1996
BeeGees are awesome!
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| Posted: Fri Oct 07, 2011 7:33 pm Post subject: 3014 |
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| Pablo wrote: |
| A few years ago I was confronted with a problem....a cylindrical hole through a cylinder is 6" in height. What is the volume of the remaining part of the sphere? |
Pray tell, what is the remaining volume of said cylinder?
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The one member below 18 |
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bgg1996
BeeGees are awesome!
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| Posted: Fri Oct 07, 2011 7:39 pm Post subject: 3015 |
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On that day, the homework was:
Page 49 #52, 61, 64
Page 69 #21-24, 31-34, 40, 53-57, 68
In the book.
Have fun.
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The one member below 18 |
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Pablo
Never Draws a Blank
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| Posted: Fri Oct 07, 2011 7:45 pm Post subject: 3016 |
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| bgg1996 wrote: |
| Pablo wrote: |
| A few years ago I was confronted with a problem....a cylindrical hole through a cylinder is 6" in height. What is the volume of the remaining part of the sphere? |
Pray tell, what is the remaining volume of said cylinder? |
Oh, I see. That's one of you homework problems, isn't it?
I'm not falling for that....but if you are taking pre-calc, you have all the knowledge you need to find the volume. You will need to use a little geometry and a little thinking.
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All religions are the same - Guilt....just with different holidays. |
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Pablo
Never Draws a Blank
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| Posted: Fri Oct 07, 2011 7:47 pm Post subject: 3017 |
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| bgg1996 wrote: |
On that day, the homework was:
Page 49 #52, 61, 64
Page 69 #21-24, 31-34, 40, 53-57, 68
In the book.
Have fun. |
Did I miss something? What book?
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All religions are the same - Guilt....just with different holidays. |
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bgg1996
BeeGees are awesome!
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| Posted: Fri Oct 07, 2011 7:57 pm Post subject: 3018 |
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The one member below 18 |
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bgg1996
BeeGees are awesome!
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| Posted: Fri Oct 07, 2011 8:01 pm Post subject: 3019 |
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| Pablo wrote: |
| bgg1996 wrote: |
| Pablo wrote: |
| A few years ago I was confronted with a problem....a cylindrical hole through a cylinder is 6" in height. What is the volume of the remaining part of the sphere? |
Pray tell, what is the remaining volume of said cylinder? |
Oh, I see. That's one of you homework problems, isn't it?
I'm not falling for that....but if you are taking pre-calc, you have all the knowledge you need to find the volume. You will need to use a little geometry and a little thinking. |
To find the volume of the remaining part when there is
| Quote: |
| a cylindrical hole through a cylinder |
I would need to know more.
If it was a sphere it would be 12π.
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bgg1996
BeeGees are awesome!
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| Posted: Fri Oct 07, 2011 8:05 pm Post subject: 3020 |
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Appropiately for the thread, I'll take pictures of the pages.
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The one member below 18 |
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Pablo
Never Draws a Blank
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| Posted: Fri Oct 07, 2011 8:21 pm Post subject: 3021 |
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re the sphere with the cylindrical hole, you have all the information you need - the cylindrical space is 6" high.......and your answer, 12 pi, is incorrect.
Hey - how did you make the pi symbol?
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All religions are the same - Guilt....just with different holidays. |
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bgg1996
BeeGees are awesome!
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| Posted: Fri Oct 07, 2011 8:30 pm Post subject: 3022 |
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Sorry, I was thinking of a similar riddle.
Only 6π cubic inches.
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The one member below 18
Last edited by bgg1996 on Fri Oct 07, 2011 8:35 pm; edited 1 time in total |
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Pablo
Never Draws a Blank
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| Posted: Fri Oct 07, 2011 8:35 pm Post subject: 3023 |
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| bgg1996 wrote: |
| 12π cubic inches. |
I'm not trying to trick you. I knew you meant cubic inches. You have the wrong number of cubic inches.
By the way, my wife and I are doing a 75 mile bike ride tomorrow, so will be off line most of the day.
_________________
All religions are the same - Guilt....just with different holidays.
Last edited by Pablo on Fri Oct 07, 2011 8:38 pm; edited 1 time in total |
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MNOWAX
0.999... of a Troll
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| Posted: Fri Oct 07, 2011 8:35 pm Post subject: 3024 |
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| Pablo wrote: |
re the sphere with the cylindrical hole, you have all the information you need - the cylindrical space is 6" high.......and your answer, 12 pi, is incorrect.
Hey - how did you make the pi symbol? |
π? Character map. Unicode (U+03C0)
P.S. wasn't this at one point a picture thread?
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The Man The Myth The Legend
MNOWAX |
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Zag
Unintentionally offensive old coot
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| Posted: Fri Oct 07, 2011 8:36 pm Post subject: 3025 |
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| chestnut alert! |
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Pablo
Never Draws a Blank
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| Posted: Fri Oct 07, 2011 8:39 pm Post subject: 3026 |
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No such thing at his age.
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All religions are the same - Guilt....just with different holidays. |
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Pablo
Never Draws a Blank
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| Posted: Fri Oct 07, 2011 8:48 pm Post subject: 3027 |
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6 pi cubic inches is also incorrect.
Solving it using integral calculus, you also prove that the volume of remaining material is independent of the original size of the sphere. If you set up a sphere with radius r, the r drops out and does not appear in the answer, which is a multiple of pi.
Solving it via geometry.......I'm not sure it's quite as elegant. I don't think it proves that the size of the sphere doesn't matter.
_________________
All religions are the same - Guilt....just with different holidays.
Last edited by Pablo on Fri Oct 07, 2011 8:57 pm; edited 1 time in total |
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bgg1996
BeeGees are awesome!
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| Posted: Fri Oct 07, 2011 8:55 pm Post subject: 3028 |
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So we should make our own can Pablo do PreCalc homework? thread?
My next post will have several pictures.
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The one member below 18 |
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Chuck
Daedalian Member
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| Posted: Fri Oct 07, 2011 8:56 pm Post subject: 3029 |
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The best way to make a π symbol is to copy and paste someone else's.
The only time I ever used calculus was for a Paladin tournament problem. On my way to the answer I came up with:
I don't remember what the problem was nor how I got a numeric answer out of that, but it made me look like I knew what I was doing. |
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Pablo
Never Draws a Blank
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| Posted: Fri Oct 07, 2011 8:58 pm Post subject: 3030 |
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You scared the crap out of me. When I first looked at that, I thought it was bgg's homework. 
_________________
All religions are the same - Guilt....just with different holidays. |
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bgg1996
BeeGees are awesome!
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| Posted: Fri Oct 07, 2011 9:18 pm Post subject: 3031 |
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The one member below 18 |
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Mr Nigma
CLASSIFIED
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| Posted: Fri Oct 07, 2011 9:20 pm Post subject: 3032 |
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42
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Freedom is not free |
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bgg1996
BeeGees are awesome!
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| Posted: Fri Oct 07, 2011 9:24 pm Post subject: 3033 |
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| Pablo wrote: |
| 6 pi cubic inches is also incorrect. |
Huh?
Apparently I don't know the equation for the volume of a sphere.
8π cubic inches.
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The one member below 18 |
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Pablo
Never Draws a Blank
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| Posted: Fri Oct 07, 2011 9:38 pm Post subject: 3034 |
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It's 4/3 pi r^3
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All religions are the same - Guilt....just with different holidays. |
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extro...*
Guest
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| Posted: Fri Oct 07, 2011 9:54 pm Post subject: 3035 |
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| bgg1996 wrote: |
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Caption contest? |
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Pablo
Never Draws a Blank
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| Posted: Fri Oct 07, 2011 10:13 pm Post subject: 3036 |
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Well, I took a look at #52.
g(x) = -(x+10)^2 + 5
I simplified to = -x^2 -20x -95 (I hope I got that right at least)
Clearly this relates to f(x) = x^2 in answer to the first question.
I sketched the graph. It goes from NW to SE in a shallow s curve, crossing both axes at negative values, and appears that it might approach vertical asymptotes left and right.
I'm not completely sure of what they're asking re the transformations, but maybe it's something like
g(x) = -f(x) -20 [f(x)]^1/2 -95. (expressing g(x) in terms of f(x).
I won't have time to do much more, as it's getting into evening and we are getting ready for a 75 mile bike ride tomorrow. HARVEST CENTURY
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All religions are the same - Guilt....just with different holidays. |
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Pablo
Never Draws a Blank
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| Posted: Fri Oct 07, 2011 10:16 pm Post subject: 3037 |
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I'm sure I'll take another look Sunday, but that's a busy day too, and then I travel all day Monday from Washington back to Fargo. I'll have time later in the week to do more, but I'm disappointed that this wasn't the "snap" I expected it to be...especially the transformations of those functions.
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All religions are the same - Guilt....just with different holidays. |
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Quailman
His Postmajesty
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| Posted: Fri Oct 07, 2011 10:40 pm Post subject: 3038 |
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Time for a pic!
Me at the Grand Canyon last month.
Last edited by Quailman on Fri Oct 07, 2011 10:53 pm; edited 1 time in total |
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Zag
Unintentionally offensive old coot
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| Posted: Fri Oct 07, 2011 10:50 pm Post subject: 3039 |
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| Pablo wrote: |
Well, I took a look at #52.
g(x) = -(x+10)^2 + 5
I simplified to = -x^2 -20x -95 (I hope I got that right at least)
Clearly this relates to f(x) = x^2 in answer to the first question.
I sketched the graph. It goes from NW to SE in a shallow s curve, crossing both axes at negative values, and appears that it might approach vertical asymptotes left and right.
I'm not completely sure of what they're asking re the transformations, but maybe it's something like
g(x) = -f(x) -20 [f(x)]^1/2 -95. (expressing g(x) in terms of f(x).
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Bzzzzzzt!
The point is to notice how certain patterns make graphing much easier.
g(x) = -(x+10)^2 + 5
Create a new variable x' = x-10
g(x) = -x'^2 + 5 which we already know how to graph very easily, I hope. (That is, if we imagine for a minute that g(x) says g(x')
Then you just have to move the origin of the graph so that the line where x' = 0 is actually the line x = -10. That is, shift the origin 10 spots to the right.
This technique seems really trivial when you're making parabolas, but when you're graphing
2x^2 + 12x + y^2 -4y = -22
which is a giant pain.
However, by "completing the square" twice (and observing how I planned this so that we're left with integers all around) you transform to
2x^2 + 12x + 18 + y^2 -4y +4 = 0
2(x+3)^2 + (y-2)^2 = 0
Now imagine an x' = x-3 and y' = y+2, we have
2x'^2 + y'^2 = 0
Which is a simple ellipse that is easy to graph.
Now just move the origin right 3 and down 2 to graph the original equation. |
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Pablo
Never Draws a Blank
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| Posted: Fri Oct 07, 2011 11:00 pm Post subject: 3040 |
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Sigh. I'm going to the gym, lest my body becomes as rusty as my brain.
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All religions are the same - Guilt....just with different holidays. |
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