Triple integral over a three dimensional region
The integral $$\int_{-2}^2\int_{x^2}^4\int_0^{1-y/4} 1\ dz\ dy\ dx$$is a triple integral over a three dimensional region E, Sketch E, and rewrite this int...
18 Apr 2026 1 READS
Archive: General
Shape operator vs second fundamental form
Is the any difference between shape operator and second fundamental form for surfaces?
18 Apr 2026 1 READS
Calculate with Cauchy integral formula
Can you please check if i did any mistakes. a) $$\int_{\gamma_{B_2(0)}} \frac{z^7+41}{1-z}$$ $\frac{z^7+41}{1-z}$ = $ \frac{-z^7-41}{z-1}$ = $\frac{f(z)}{...
18 Apr 2026 1 READS
Binary division: 1/11
The exercise in the book goes like this: In the decimal system the fraction 1/3 is written as 0.3333... (pure periodic number). What happens in the binary...
18 Apr 2026 1 READS
Hexagonal vs square tiling: comparing total length of edges
Today I saw this short video: Why do honeybees love hexagons? The video explains that bees want to store their food (honey) in appropriately sized cells a...
18 Apr 2026 1 READS
Centre of the group S4
Quite a simple looking question guys, Find the centre $Z(S_4)$ of $S_4$. The previous part asked me to find centralizers for $S_4$. I note that $Id$ is th...
18 Apr 2026 1 READS
A function of the inverse function of a set contained in a set.
I'm doing an intro course on set theory and need to prove: Suppose that $$ f : X \rightarrow Y, A \subset X, B \subset Y $$ Prove that: a) $ f(f^{-1}...
18 Apr 2026 1 READS
How do you solve this equation $\sqrt{1+log_{0.004}x}+\sqrt{3+log_{0.2}x}=1$?
This is a problem from Prilepko's book on Mathematics for High School, I have tried to solve this equation but cannot succeed. The hint is to put $t ...
18 Apr 2026 1 READS
Triple Integral with bounds in first octant
I am really confused on how to get my integrating function because I don't know, even after graphing, how the tetrahedron intersects the x-y-z axis. ...
18 Apr 2026 1 READS
![When 0 is multiplied with infinity, what is the result? [duplicate]](https://edu.smbbmcl.edu.pk/uploads/when-0-is-multiplied-with-infinity-what-is-the-result-duplicate_720.jpg)
When 0 is multiplied with infinity, what is the result? [duplicate]
Any number multiplied by $0$ is $0$. Any number multiply by infinity is infinity or indeterminate. $0$ multiplied by infinity is the question. Answer with...
18 Apr 2026 1 READS
