Off-Topic Discussions > In-Forum Games

Little Maths Game

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Jerry:

--- Quote from: Papi on March 18, 2012, 01:49:11 PM ---
--- Quote from: Jerry on February 26, 2012, 04:37:48 PM ---
d( ln(sin(x))/x^2 )/dx =
Given x = pi

--- End quote ---

Sin(pi)=0, ln(0/pi^2)=ln(0)=impossible
 
No answer I think ;o
--- End quote ---

Well, you should be applying the value of x later, but well, I can't blame you either :P There is no definite answer, right! ^-^

First use the quotient rule;

d( ln(sin(x))/x^2 )/dx = (x^2 cos(x)/sin(x) - 2x ln(sin(x)) / x^4)

Simplify; (x^2 cos(x)/sin(x) - 2x ln(sin(x)) / x^4) = (x cos(x)/sin(x) - 2 ln(sin(x)) )/ x^3)

Then put x = pi;

(pi cos(pi)/sin(pi) - 2 ln (sin(pi)) ) / pi^3

\infty - 2(-\infty) / pi^3 = indefinite solution

;D


13/7 + 5/11 = 1 (6/7) + 5/11 = 1 + (66+35)/77 = 1 + 101/77 = 2 24/77


Oh well. Another 'sequence';

3, 4, 6, 8, 12, 14, 18, 20, 24, 30, ?

Arctus:
Is that the first 10 prime numbers +1, if so, then the next number would be 32.

Ummm. 5x2+3+7x0+12.5-1.

Jerry:
5x2+3+7x0+12.5-1 = 10 + 3 + 0 + 12.5 - 1 = 24.5

Hmm, how about this one?
3, 3, 5, 4, 4, 3, 5, 5, 4, 3, 6, 6, ?

Flynt:

--- Quote from: Jerry on March 20, 2012, 12:12:23 PM ---5x2+3+7x0+12.5-1 = 10 + 3 + 0 + 12.5 - 1 = 24.5

Hmm, how about this one?
3, 3, 5, 4, 4, 3, 5, 5, 4, 3, 6, 6, ?

--- End quote ---
8.

Mr Pokemon:
8=8?
You didn't give me a problem.
This shouldn't be too hard, just takes a little bit of time.
Domain of f(g(h(x))) given f(x)=(9^1/2)/(2x-2)  g(x)=-5x^1/2  and f(x)=(128x^1/7)+3

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