Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

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irspow
2006-02-07 15:00:52

I didn't mean every fractional degree.  Just maybe every degree of sine up to forty-five for example.  You wouldn't have to do cosine or tangent because of the relationships among them.

A list of forty five numbers, to an accuracy of my choosing, wouldn't be that hard.  I memorized the first five hundred digits of pi over ten years ago and I can still write them down on a piece of paper if I had to.  There are many different ways to remember long numbers and lists, some techniques dating back to ancient Greece.  Ironically, they don't bother teaching these techniques to school children.

Ricky
2006-02-07 14:34:22

it's not like I sat down and memorized the trigonomic tables....hmm, I have to put that on my to-do list.

Which is only second to memorizing The On-Line Encyclopedia of Integer Sequences
.

irspow
2006-02-07 10:37:26

Sorry, God.  I am an old guy and have a tendency to want to do things by hand.  Whenever I use my TI-89, I almost feel like I'm cheating in some way.  But if you really need an answer there is nothing wrong with using technology to find the answer.  Actually, I use my calculator all of the time, it's not like I sat down and memorized the trigonomic tables....hmm, I have to put that on my to-do list.

God
2006-02-06 13:16:45

0.03 seconds using the mathematica online integrator.

irspow
2006-02-04 09:48:01

I certainly applaud you ryos, if you brave and energetic enough to do that sort of division on this equation.

ryos
2006-02-04 09:28:29

Can anyone say polynomial division?

irspow
2006-02-04 09:05:58

Yes, but could you imagine being given:

560x^4 + 1120x^3 + 840x^2 + 280x + 35
81x^4 - 216x^3 + 216x^2 - 96x + 16

And have to integrate it back to something resembling what we have above?!

ryos
2006-02-04 06:22:59

y′ = 5(2x+1 / 3x - 2)^4 * [ (3x-2)2 - (2x+1)3 ] / (3x-2)²
= 5(2x+1 / 3x - 2)^4 * -7 / (3x-2)²

LLoyd
2006-02-04 05:54:50

Hi everybody, can you help me solve this:

y = (2x+1 / 3x-2)^5

find dy/dx using the quotation and chain rules.

ive got an answer but i think i got confussed during the quotation rule.

Thanks