Math Pi Euler

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Hi all, 

I am stuck in the follow sum:

Write a procedure to evaluate the sum of Sn and use this to find the value of n=10^p, p=1,2,3,4,5.

I started with defining Sn, 

restart:
Sn:=sum((1/k^(1/10))*sin(1/k), k=1..n);

Perhaps sum is not the correct one? Perhaps add?

And help appreciated

 

Hi all,

I am stuck in a question. Perhaps somebody can help me. I have to find the values for a, b, c and d such that the expansion of y in powers of x, does not contain the term of x^p for p=3,4,5,6. 

I defined y:

restart:
y:=[(1+a*x+b*x^2)/(1+c*x+d*x^2)]*ln(sinh(x)^2 + cosh(x)^2);

 

But now it became terrible. I tried: series(ln(sinh(x)^2 + cosh(x)^2), x=0, 10). I think I am not right. Can somebody please help me?

Hi all,

 

I am totally stuck in the question:

I can do it for seperate cases, but how to do it, with somekind of sequence

 

Integral for x= 0 to infinity of [2 sin(x/2)/x] ^ 2n 

this has to be equal to:

2n* pi (sum of [(-1)^j * (n-j)^(2n-1)] / [j! * (2n-j)!]

I showed it for j=0 and n=1

But how to do it for n =1,2,3 and 4

 

Dear All,

I'm stuck in a question, perhaps somebody can help. I have to solve the following equation: 

restart;
with(LinearAlgebra);
A := Matrix(3, 3, [[1, 3, 2], [4, 5, 1], [3, 7, 2]]);
      
M := IdentityMatrix(3);
   
eq := A^2*a+A*b+M*c;
K:= A^-2
Set := {seq(eq[i] = K[i], i = 1 .. nops(eq))};

 

But now I want to solve for a, b and c. I tried this with the solve function, but I gives an error. What do I have to do now?

Math


                            

 

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