Evaluating a line integral with a difficult integral?
I have a line integral to evaluate: $$ F(x,y,z)=(9x^8\ln(5y^2+3)+5z^3) i + (\frac{10x^9y}{5y^2+3}+4z) j+(15xz^2+4y-6\pi\sin(\pi z)) k \\ r(t) =(t^3+1)i + ...
21 Apr 2026 1 READS
Archive: General
limit of n sin (pi/n) as n --> infinity?
This question has been asked in: Does the sequence converge or diverge? $an+ n[\sin(\pi/n)]$ That post/title is messy to understand, so please refer to th...
21 Apr 2026 1 READS
Does every $\mathbb{R},\mathbb{C}$ vector space have a norm?
Is there a canonical way to define on any vector space over $\mathbb{K}=\mathbb{R},\mathbb{C}$ a norm ? (Or, if there isn't, can someone give me an e...
21 Apr 2026 1 READS
![Probability of poker cards using combinations, its a poker question [closed]](https://edu.smbbmcl.edu.pk/uploads/probability-of-poker-cards-using-combinations-its-a-poker-question-closed_720.jpg)
Probability of poker cards using combinations, its a poker question [closed]
Choose two cards from a regular 52 card deck, what is the probability of getting atleast one face card from the two card hand drawn? (Without replacement)...
21 Apr 2026 1 READS
HSL to RGB conversion
I have some problems understanding the formulas for conversion from HSL to RGB color model. Let's take for example H = 60 degrees, S = 0.7. L = 0.5. ...
21 Apr 2026 1 READS
Boolean Algebra Proof for a + a = a and (a * b)' = a' + b'
Prove, for any element $a$ in a boolean algebra expression, that $a + a = a$. Prove also, for any two elements, $a$ and $b$, of a boolean algebra expressi...
21 Apr 2026 1 READS
How to evaluate the angles next to the median in a triangle?
Suppose that $ABC$ is a triangle with a median $AM$. Than we can look at these angles: $\angle ABC, \angle ACB, \angle BAM$ and $\angle CAM$. Is there any...
21 Apr 2026 1 READS
$\tan(x) = 3$. Find the value of $\sin(x)$
I’m trying to figure out the value for $\sin(x)$ when $\tan(x) = 3$. The textbook's answer and my answer differ and I keep getting the same answer. C...
21 Apr 2026 1 READS
What is the purpose of defining a Hilbert Space?
I understand that the Hilbert space is an infinite dimensional analogue of Euclidean space. However, one thing I have thought about for a while is why cer...
21 Apr 2026 1 READS
How do you know a straight line forms an angle of 180°?
The question may seem simple. Could we have a line forming an angle of 150° (for example). Thanks.
21 Apr 2026 1 READS
