Question: A 2018 x 2018 square is tiles with some 4 x 1 rectangles and some 2 x 2 squares. One of the 4 x 1 rectangles is removes and replaced with a 2 x ...

What can you say about the following limit: $$\lim_{x\rightarrow 0}\left(\left[\dfrac{100x}{\sin x}\right]+\left[\dfrac{99\sin x}{x}\right]\right)$$ where...

It's been about two years since I last took Calc 2, and I'm trying to brush up on some of the old material using Khanacademy. I watched a couple...

I found this definition on Wikipedia. Suffix. A suffix of a string is any substring of the string which includes its last letter, including itself. A prop...

I have a test tomorrow in statistics and was wondering what the following means? $$\binom{50}{4}$$ My professor along with most of my classmates have a ca...

Why is the surface of a torus is said to be flat? If you consider the geometry of the torus, its surface has locally positive (spherical), negative (hyper...

How do i find the area of the black shaded portion of the circle? I noticed the 4 so i think that's the radius. The formula to find the area $$A=πr^2...

Suppose you have a multi-variable functional given as $$ \int_{t_0}^{t_1} L(t,x,x', x'' ..., y, y', y'', ... ) \ dt $$ That ...

There are two vectors : $A = (\hat i + j + k)$ and $B = (\hat i - \hat j - \hat k)$, where $\hat i$, $\hat j$, and $\hat k$ are unit vectors along $x$, $y...

Is it possible to convert a one-to-many function to a one-to-one function. The input is going to be unique and hence the out of the function should also b...