<p>application is more important, yes. I dont care of how "important" calculus is, I only care about the joy it brings to me. Ah, i know that sounded cheesy. Its kind of like going to an amusement park, its not that important to go, but its still fun.</p>
<p>dv/dt=-2v-32</p>
<p>a) solve for v using seperation of variables
b) supposing that a v(t) is velocity function, find the terminal velocity (lim t--> infinity)</p>
<p>tongos, please explain how you can do that w/o using int by parts</p>
<p>numbers are so much happier than words =)
i'm in calc 3/diff eq this year
and my teacher is le awesomest</p>
<p>it does though, equal sin (-1) x?</p>
<p>look at the graph of sin(-1)x in the window. between bounds 0 and x. now to find the area from 0 to x. where x does not exceed 1, you do the sin(-1)x to find y. now draw a horizontal line through y, that crosses the y axis. it makes a rectangle. So what you do is integrate in respect to sin(-1)x across the sinx graph. but this is the region in inside the sin(-1)x graph, we are looking for the area under the curve. so its the rectangles area minus this. hope that made sense.</p>
<p>if you want to see my cool way of finding the sum of these kinds of series </p>
<p>1^2+2^2+3^2+4^2.......x^2</p>
<p>1^3+2^3+3^3........x^3 or any other power sum, i'll show you.<br>
btw, i love math</p>
<p>omg this is the worlds stupidest thread. we should close it</p>
<p>shrek, if you dont like it simply dont read it</p>
<p>the only reason that the mods would have in closing it is because of people like you shrek.</p>
<p>hm.. how about the proof to the following</p>
<p>there are no integer solutions to the following equation
A^n+B^n=C^n, n>2</p>
<p>fermat's last theory?</p>
<p>int: 1/cabin dcabin</p>
<p>funny joke, hahahaha newt</p>
<p>I did not missed PI.</p>
<p>Look:
0 dimensions: 1
1 Dimension: line of length of 2R
2 dimensions: area
3 : capaciaty]
4:avg area of 'slie'<em>first variable</em>second variable<em>coefficient
5: capacity</em>area ;). jk</p>
<p>Tongos :
<a href="http://ai.eecs.umich.edu/people/dreeves/misc/HyperSphere.html%5B/url%5D">http://ai.eecs.umich.edu/people/dreeves/misc/HyperSphere.html</a></p>
<p>It works for smaller dimensions, so it will be capacity what we are seeking for.</p>
<p>Actually I wanted you to find it OUT... not in the book/inthernet.
But ok.</p>
<p>Professor Andrew Wiles of where else but Princeton has proved fermat's last theorem successfully (after a failed attempt).</p>
<p>tongos: try to sum this:
1/1² + 1/2² + 1/3² ..... + 1/x²</p>
<p>Any ideas?</p>
<p>Yeah. Mathematical Induction...</p>
<p>I'm asking for Sn (sum of n terms)... Once we find that, indcution will prove its validity.</p>
<p>it's with Mathematica 5: z = Cos[x^3 + y^2] + x</p>
<p>I'm still fighting for the solution to that prob with continuity</p>