# Tagged Questions

Use this tag for questions asking about "problem books", "exercise books", and their solutions.

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### Exercises for the text “Introduction to Holomorphic Functions of Several Complex Variables”

I would like to know where can I find good exercises and problems that fits with the way Rubert C. Gunning develops his theory on his "Introduction to Holomorphic Functions of Several Complex ...
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### Number of solutions of $x+y+z=10$

The number of different solutions $(x,y,z)$ of the equation $x+y+z=10$ where each of $x, y$ and $z$ is a positive integer is $36$. How to derive this answer? I know that $x, y$ and $z$ have to ...
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### ODE Laplace Transform an impulse bring oscillating system to rest

$2y''+y'+2y=\delta(t-5)$ $y(0)=0, y'(0)=0$ Consider the system given by ODE above in which an oscillation is excited by a unit impulse at $t=5$. Suppose that it is desired to bring the system to ...
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### If the sum $\sum_{x=1}^{100}x!$ is divided by $36$, how to find the remainder?

If the sum $$\sum_{x=1}^{100}x!$$ is divided by $36$, the remainder is $9$. But how is it? THIS said me that problem is $9\mod 36$, but how did we get it?
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### What does “order matters” regarding permutations refer to?

I psychoanalyze EVERYTHING and permutations/combinations are frustrating me. Sorry for posting so many questions lately but I really appreciate all of the help! Ok so I know the permutation formula: ...