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I think 21 is probably all set, but I could use some help, Mr. Katt. Why don't you start here? :)

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I'm not a damn charity. I don't do this stuff for free, Deety!!!! I'm going to need a retainer if you expect me to even think about counting all of those. :tongue2:
 
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Pretty funny. GD01 is right, this is defining the first derivative, albeit the hard way. I thought it was pretty raw that they teach you the hard way and make you do lots of problems and only later teach you the easy way to do them. Oh well. Integrals, anyone?

You HAVE to be able to do it the long way before you earn the right to use the shortcut. One of my worst opinions of high school math departments is thet they are leaning to avoiding proofs and derivations. Now I know they are nasty, but you never gain the understanding why things are happening. If someone were to ask me "What exactly is a derivative?", I could say a lot more than "You take the exponenant and multiply the coefficient by it and then drop the exponent by a value of one" ya know?
 
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did you whisper math problems in her ear while you were in bed?? :wink:

I recited the Ten Commandments:

TOP 10 REASONS TO DATE AN ENGINEER

10. The world does revolve around us... we chose the coordinate system
9. No "couple" enjoy a better "moment"
8. we know how to handle stress and strain in a relationship
7. we have significant figures
6. We have taken a course on the motion of rigid bodies
5. Projectile motion... Need we say more?
4. Engineers do it to specification
3. According to Newton, if two bodies interact, their forces are equal and opposite
2. we know it's not the length of the vector that counts, but how you apply the force
1. We know the Right Hand Rule
 
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