Evaluate the following line integral.
I have to find the line integral of the following. $$\int_Cxe^ydx+x^2ydy, C: 0 \leq x \leq 2, y = 3$$ I am trying to understand the concept of line integr...
21 Apr 2026 1 READS
Archive: News
Is argument of a function and independent variable essesntially the same things?
From the top of this page of Wikipedia- In mathematics, an argument of a function is a specific input in the function, also known as an independent variab...
21 Apr 2026 1 READS
![How to calculate $\cos(6^\circ)$? [closed]](https://edu.smbbmcl.edu.pk/uploads/how-to-calculate-cos-6-circ-closed_720.jpg)
How to calculate $\cos(6^\circ)$? [closed]
Do you know any method to calculate $\cos(6^\circ)$ ? I tried lots of trigonometric equations, but not found any suitable one for this problem.
21 Apr 2026 1 READS
Prove that a homomorphism $\phi$ must be trivial.
Let $G,H$ be finite groups where $|G|$ and $|H|$ are coprime. Prove that any homomorphism $\phi :G\rightarrow H$ must be trivial $($ie. $\phi (x)=e_H, $ t...
21 Apr 2026 1 READS
Why does eigenvalue k of a regular graph of degree k have a multiplicity of one
Motivation There are lots of questions on here which link the "connectedness of a k regular graph and the multiplicity of its k eigenvalue", I understand ...
21 Apr 2026 1 READS
finding derivative of g(x) = xtanx
The question reads if $g(x) = x\tan x$, then the value of $g'\left(\frac\pi4\right)$ is: a) $1+ \frac\pi4$ b) $\frac\pi2-2$ c) $1-\frac\pi4$ d) $1+\f...
21 Apr 2026 1 READS
Bounded variation: Jordan's theorem on all of R?
I know that a function of bounded variation on a closed interval can be written as a difference of increasing functions. The same is true is the function ...
21 Apr 2026 1 READS
XOR properties in set of numbers
Say I have n positive numbers A1,A2...An and Ak is minimum among them. And d is a number such that (A1-d) ⊕ (A2-d) ⊕ .......(An-1-d) ⊕ (An-d) = 0 where0&l...
21 Apr 2026 1 READS
Divisibility rule for large primes
I've got a large prime $p$. Let's say $$ p = 2137 $$ Is there a simpler way to determine whether $p\mid n : n \in \mathbb{Z}$ than factorizing $...
21 Apr 2026 1 READS
How to find rate of change of radius of cross sections of sphere as a function of its y-coordinate
Say I have a sphere with center at $C(0,0,5)$ and a radius of $r = 2$. If we take horizontal cross section of the sphere that passes through the center, i...
21 Apr 2026 1 READS
