I think we are arguing semantics here, but oh well.
In the problem, x isn't 'going' anywhere. Its a fixed value. So, the limit of the function as x goes to infinity happens to be a good approximation, but is still not exact at that point.
I think we are arguing semantics here, but oh well.
In the problem, x isn't 'going' anywhere. Its a fixed value. So, the limit of the function as x goes to infinity happens to be a good approximation, but is still not exact at that point.
The word rap as it applies to music is the result of a peculiar phonological rule which has stripped the word of its initial voiceless velar stop.
Yes, you're right. I forgot to actually read the problem as it was posted...if you can figure out:
(56x^6+48x^5-14x^4+468x^3+45x^2+189x-189)/(2x^6+18x^5-48x^4+165x^3-59x^2-486x+48)
assuming x==489488436498899878648897898 then you're good for calculus...
btw... the answer is around 28... (limits)
Well, I just wanted to say it is official I am taking pre calculus right now over the summer and taking calculus senior year. I also obtained a few math books, one of which is called "Calculus and pizza" and I'm actually reading about calculating instantaneous velocity and stuff. Pretty cool.
Sounds fun. Good luck with that.
I think the author of that book had his priorities backwards though... Clearly pizza should come first!
The word rap as it applies to music is the result of a peculiar phonological rule which has stripped the word of its initial voiceless velar stop.
lol zach, true true. Coincidentally I was at a bookstore while my mom and sister were ordering pizza from pizza hut, and I saw this book
How far have you gone in this book?
Because the hardest stuff in calculus is most definately Series Error and the LaGrange Method is the only way to go.
Plus I also just finished AP Calculus and I've been waiting for a month on my test results.
My teacher worked our class like dogs and I thought Calc was equally hard as Physics *insert giant laugh*
I need MONEY more than help with My C++ so yeah you get the idea
C notes preferably LOL
page 13
>>> Because the hardest stuff in calculus is most definately Series Error and the LaGrange Method is the only way to go.
Wait until you get into some more calculus. Partial diff-eq's are quite "fun".
The word rap as it applies to music is the result of a peculiar phonological rule which has stripped the word of its initial voiceless velar stop.
well holy crap I've got to learn to crawl before I can build interplanetary self destructing atomic terminal node warheads
>>Wait until you get into some more calculus. Partial diff-eq's are quite "fun".
Partials can be a real pain in the ass. I mean there are even Partials that cant be solved... like we have this TI-92 and in school we always used to type in these very complex partials and then let the machine worj it out, and then see wich calculator took the longest.
Originally Posted by Salem
Just relax...it's all going to be very easy so long as you understand something, at least in theory before moving on.Originally posted by Silvercord
well holy crap I've got to learn to crawl before I can build interplanetary self destructing atomic terminal node warheads
What's so special about the number 'e'. How are base e logarithms useful. Isn't e an irrational number (like pi) that goes on forever? and isnt' it something like 2.71.....
EDIT: and they showed how to find the instantaneous velocity of a falling piece of pizza using derivaties. From what I read derivaties are just new functions that can represent slope when no time has passed (because otherwise it is an illegal divide by zero). I was confused because when they were creating the derivative they integrated functions or something and I didn't know what they were doing. But the books shows a shortcut for calculating the derivative:
F(x) = (x^n) is the original
F(x) = (nx^n-1) is the derivative
Were you all shown this?
Last edited by Silvercord; 06-20-2003 at 02:13 PM.
Yes, that's called the power rule, and works only when n is a constant - not if it's variable. They weren't integrating, they were taking the limit of a difference quotient (slope) as h approached 0. I hope you read about limits before you started derivatives...
e is a special number. It is the only number k where k^x is its own derivative. (e^x)'=e^x (note the prime on the left side) There's a big long elaborate proof for getting e, but since you're just starting, you wouldn't understand it (it's probably in your book anyway) The slope of e^x at x=1 is e. The slope of e^x at x=2 is e^2, etc. If that reason doesn't make sense to you yet, think of it like this: it's easier to write ln(x) than log(x), so just do it and learn why later
Away.
e... 2.718281828459045 (off the top of my head)
Only two functions are the same as there derivatives:
f(x) = e^x
f(x) = 0
And there are other reasons why e is important (as you'll see when you get to the definition of ln). Plus, the definition of e, stated informally (rather poorly actually) is 1 to the infinite power.
More technically,
e = lim [x->0] (1 + x)^(1/x)
The word rap as it applies to music is the result of a peculiar phonological rule which has stripped the word of its initial voiceless velar stop.
lol... I just remembered you got that pizza calculus book.EDIT: and they showed how to find the instantaneous velocity of a falling piece of pizza using derivaties.
You have the idea. You'll get the grand scheme soon enough.From what I read derivaties are just new functions that can represent slope when no time has passed (because otherwise it is an illegal divide by zero).
Yes. Just remember that it's important to grasp the idea behind derivatives before you learn the easier formulas. That's why they do it that way: so you know why something happens before knowing an easier way to get there. Knowing why is essential to more difficult stuff.I was confused because when they were creating the derivative they integrated functions or something and I didn't know what they were doing. But the books shows a shortcut for calculating the derivative:
F(x) = (x^n) is the original
F(x) = (nx^n-1) is the derivative
Were you all shown this?