In image filtering and computer simulations, derivatives can be applied to a image by performing a convolution of the image/data with an appropriate kerne...

If $\alpha$ and $\beta$ are algebraic integers, then show $\alpha + \beta$ and $\alpha \times \beta$ are both algebraic integers. I know that an algebraic...

I want to find the area enclosed by the plane curve $x^{2/3}+y^{2/3}=1$. My attempt was to set $x=\cos^3t, \ y=\sin^3t$ so:$$x^{2/3}+y^{2/3}=\cos^2t+\sin^...

For how many natural numbers $a$ is the expression $\sqrt{\frac{a+64}{a-64}}$ also a natural number? I cannot seem to do this without using trial and error.

I get that it should be $|y|>|x|$ and in the Wolfram it looks like this. But when I graph it by hand is that it should be only the "upper" part of inte...

My question is why we have to restrict over selves to find inverse for non singular matrix? We can define inverse of a square matrix as follows: A matrix ...

I have a problem of retained sales from the previous year. For instance, x client sell 200 cases of product the first month, 400 the second month, 300 the...

suppose,only the length of the side of a rhombus is given then how can I find the length of the diagonals?(without measuring the angle) Is there any equat...

I've read nearly all of the threads on this topic but none seem to answer my question or lead me in the best direction. When performing U-substituion...

I understand there is a symbol for infinite. Is there one for finite? I searched and found there is none. How is finite represented symbolically?