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EugeneKalentev

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9 years, 209 days
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These are questions asked by EugeneKalentev

Have I calculated the limit correctly?...

EugeneKalentev 85 Maple
calculus integral limit
May 22 2023
1 1

I calculate the limit

Let me know if there are any errors in my calculations?


 

> 

restart
> 

assume(a > 0)
> 

limit(int(sin(x)/x, x = n .. n+a), n = infinity)

0

 (1)
> 

int(sin(x)/x, x = n .. n+a)

-Si(n)+Si(n+a)

 (2)
> 

plot3d(-Si(n)+Si(n+a), a = -5 .. 5, n = -5 .. 5)

 
> 

limit(-Si(n)+Si(n+a), n = infinity)

0

 (3)
> 

limit(-Si(n), n = infinity)

-(1/2)*Pi

 (4)
> 

limit(Si(n+a), n = infinity)

(1/2)*Pi

 (5)
> 

NULL


Thank you in advance.

Download limit_int.mw

How do I solve this equation in Maple?...

EugeneKalentev 85 Maple 2019
differential-equations
October 25 2021
1 1

Hello everyone.

Please help me solve this equation for u using Maple.

Div(u) = d(ru)/(dr)*1/r = 2*a = const; u = u(r);

``

Divergence(u) = d(ru)/(r*dr) and d(ru)/(r*dr) = 2*a and 2*a = const

u = u(r)


Thanks in advance for your help.

Sample size for different distributions...

EugeneKalentev 85
sample statistics
December 21 2018
0 2

Hello. Is there a built-in function to determine the required sample size for different distributions in a population?

Permutations with fixed points...

EugeneKalentev 85 Maple
combinatorics permutation
January 23 2018
2 1

Hello.
I can not find a tool for calculating the number of permutations with fixed points. I looked at the package combinat. Help me please.

Strangeness in the calculation ...

EugeneKalentev 85 Maple 2015
November 20 2015
1 2

 

restart

int(sin(x), x)

-cos(x)

 (1)

int(x^2, x)

x^2*_X

 (2)

``

 

Download 12.mw

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