I am stuck with the following two problems : How many non-negative integers less than $10000$ are there such that the sum of digits of the number is divis...

Can you tell me what is the difference between empirical distribution and classical probability? My teacher has told me that when we take limit empirical ...

I am curios about the concept of Variance. I try to get the better understanding of the variance by checking extreme cases. $Var(X) = E[(X^2)] - (E[X])^2$...

My exercise is a lot bigger but I really need help with this line equation$-$ x-2=4y=z+1 Because it has two equal signs it's throwing me off a bit. N...

I have a task where I need to write the power series: $\sum\limits_{n=0}^\infty\frac{(-1)^n}{(2n)!}x^n$ differentiated 2 times where $x=0$. This is what I...

Use a parametrization to find the flux $$\iint_S F \cdot n \, d\sigma$$ across the surface in a given direction: $$F=xy\overrightarrow i-z\overrightarrow ...

I have to expand at $z_0 = 1$ the following function, all over the complex plane $$f(z) = \frac{1}{z^2+1}$$ The answer is said to be $$\sum_{k = 0}^{+\inf...

Some books say that even numbers start from $2$ but if you consider the number line concept, I think zero($0$) should be even because it is in between $-1...

I'm attempting to write a function for a computer program that will allow me to find points along it. To start with, I have 2 points. One is always o...

I am still new to the proof game so please be kind! This is my third time attempting a proof. Any feedback would be greatly appreciated. Thank you in adva...