I wanted to know the approximate sum of real numbers from 0 to 1. Please tell me how we can find it.

Ok so I've got an exam in 4 hours and I can't ever figure out these problems. Here's the problem I'm struggling with now: $$\frac{x}{3...

Determine an interval in which the solution to the given IVP exists. $$(x-3){dy\over dx}+(\ln x)y=2x; (1,2)$$ I was wondering if I needed to to separation...

Consider the differential equation $ y'(x)=f(x,y(x)) $ with initial condition $y(x_0)=y_0$. According to some theorem, if $f$ is continuous, then the...

If all enumerated $X$s are observations from a population with a population $\mu$ and variance $\sigma^2$: Why is this true? $$\mathbb E\!\left(\bar X ^2\...

Are there shapes in nth dimensions (in euclidian geometry), that can be rotated 360 degrees on one axis and have more than one point not in the same place...

First of all, I am sorry for asking a question about understanding a definition in a book named Understanding Analysis. But it is my first time to encount...

I looked on the internet but couldn't find anything relevant, so I was hoping you could help because I have no clue where to even start with how to s...

I'm trying to calculate the "expected" success/failure rate for getting a shiny pokemon after n encounters, which for my purposes has a fla...

What is a real number to the power of an imaginary or complex number? e.g. 3i. I have searched through sites about imaginary numbers, but none seem to say...