Jonask
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Questions Asked

Jonask:
Find the first integer \(n\ge 1\) such that the average
of \(1^2;2^2;3^2...n^2\) is itself a perfect square.
 updated 3 days ago
 34 replies
 4 Medals
Mathematics

Jonask:
number theory,why is'nt there a subtopic,in mathematics for number theory,since theres calculus,algebra,geometry...etc
 updated 9 days ago
 5 replies
 1 Medal
Mathematics

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solve \(3x^2+3xy5y^2=55\)
 updated 11 days ago
 43 replies
 2 Medals
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Jonask:
can the following numbers \(23,45326,56740,16320\) be written as a sum of two squares,explain!!!
 updated 11 days ago
 7 replies
 2 Medals
Mathematics

Jonask:
find \(n\) if \(n=\sum _{k=1}^nk\)
 updated 23 days ago
 15 replies
 2 Medals
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double series
 updated 25 days ago
 23 replies
 4 Medals
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Jonask:
write the following recursive equation in general form \(a_n=\alpha a_{n1}+\beta \alpha a{n+1}\)
…
 updated one month ago
 No Medals Yet
Mathematics

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Determine all pairs of polynomials f and g with real coefficients such that \(x^2g(x)=f(g(x))\)
 updated one month ago
 34 replies
 3 Medals
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phase change
 updated 2 months ago
 20 replies
 2 Medals
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phase change
 updated 2 months ago
 4 replies
 1 Medal
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what is the empirical formular of the compound formed by
 updated 2 months ago
 5 replies
 1 Medal
Mathematics

Jonask:
what is the sum of the digits of \[\frac{1}{99^2}\]
 updated 2 months ago
 No Medals Yet
Mathematics

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write the recursive formular in explicit form \[a_n=a_{n1}r+d\]
 updated 3 months ago
 9 replies
 1 Medal
Mathematics

Jonask:
\[y=x^4+1\]
1) factorise y
2) find \[\int \frac{1}{x^4+1} dx\]
 updated 3 months ago
 2 replies
 3 Medals
Mathematics

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another defination of n surprise_(factorial)
 updated 3 months ago
 11 replies
 3 Medals
Mathematics

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easy integral
 updated 3 months ago
 2 replies
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Mathematics

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two problems i encounter often
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 6 replies
 4 Medals
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show that the integral is 0
 updated 3 months ago
 12 replies
 2 Medals
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lets have pizza
 updated 3 months ago
 13 replies
 1 Medal
Mathematics

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\[\ECFTallPaul{\text{lets have pizza}}\]
 updated 3 months ago
 1 reply
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if \[\phi(u,v)=f(x,y)\]where\[u=y^2x^2,v=y^2+x^2\]
 updated 3 months ago
 6 replies
 2 Medals
Mathematics

Jonask:
decompose into real factors___trigonometry
 updated 3 months ago
 9 replies
 2 Medals
Mathematics

Jonask:
desing a system that will solve any pd
\[p(D)=a_nD^n+a_{n1}D^{n1}+...+a_1D+a_0=Ae^{at}\]
 updated 3 months ago
 8 replies
 No Medals Yet
Mathematics

Jonask:
2013 Related Questions
 updated 3 months ago
 20 replies
 4 Medals
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\[\color{green}{\text{Happy New Year!!!}}\]
 updated 3 months ago
 14 replies
 5 Medals
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CALCULUS MAXIMA MINIMA PROBLEMS
 updated 3 months ago
 4 replies
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Jonask:
\[x^y=y^x\] find interger pairs x and y ,hence show that the solution to \[x^2=2^x\] is \[x_1=2,x_2=4\]
 updated 3 months ago
 9 replies
 1 Medal
Mathematics

Jonask:
how many integer points lie on the interior of the right angle triangle with vertices \[(0,0),(\frac{p}{2},0),(\frac{p}{2},\frac{q}{2})\] ,w…
 updated 4 months ago
 No Medals Yet
Mathematics

Jonask:
if n is an even number and \[\large (x+\frac{1}{x}+1)(x+\frac{1}{x})=1x^3x^4...x^{n3}\]....find \[\large (x^n+\frac{1}{x^n}+1)(\frac{…
 updated 4 months ago
 3 replies
 1 Medal
Mathematics

Jonask:
without L'hopitals rule
\[\lim_{x\to a}\frac{a^xx^a}{a^axa^{a+1}}\]
 updated 4 months ago
 2 replies
 No Medals Yet
Mathematics
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