updates
Expanding brackets of the form $(a+b)^n$
If we have the equation $ (a+b)^n = (a+b)\times(a+b)\times(a+b)\times \ldots \times (a+b) $ expanding the right hand side of the above, is the sum of term...
Apr 16, 2026
Archive: Updates
![Why is $\int 2 \cos x \sin x$ $\neq$ $\int \sin 2x$? [duplicate]](https://news.conceivablytech.com/uploads/why-is-int-2-cos-x-sin-x-neq-int-sin-2x-duplicate_720.jpg)
updates
Why is $\int 2 \cos x \sin x$ $\neq$ $\int \sin 2x$? [duplicate]
So I had this school assignment with this question $\int (\cos x - \sin x)^2 \ dx$ And through computations I came up with this: $\int (\cos x + \sin x )\...
Apr 16, 2026
updates
How do I prove that a function decreases/increases on an interval?
I had to determine where the following function is increasing and where it's decreasing. I can figure those out, but how do I write it down with corr...
Apr 16, 2026
updates
Backward Euler Method 1
"Whats the result of one step of Backward Euler Method with h = 0.1 applied on the IVP: $ y'(t) = 5y(t) + 10 $ $ y(0) = 1 $ "? So, been trying to und...
Apr 16, 2026
updates
What is a good complex analysis textbook, barring Ahlfors's?
I'm out of college, and trying to self-learn complex analysis. I'm finding Ahlfors' text difficult. Any recommendations? I'm probably ...
Apr 16, 2026
updates
Generalization of Cauchy Residue theorem to Multi-dimensional holomorphic functions
We know Cauchy Residue theorem from the Complex analysis. however I wonder if there is a kind of Generalization of Cauchy integral and Residue theorem to ...
Apr 16, 2026
updates
How can I determine the scale factor of a pantograph from the ratio of the arms?
I know this is probably simple but I just can't see it. How can I determine the scale factor of a pantograph from the ratio of the arms?
Apr 16, 2026
![About the cardinality of natural numbers [Solved]](https://news.conceivablytech.com/uploads/about-the-cardinality-of-natural-numbers-solved_720.jpg)
updates
About the cardinality of natural numbers [Solved]
I had learned that the set is countable if and only if it is finite or countably infinite. We know well that the set $\mathbb{N}=\{1,2,3,4,\dots\}$ is an ...
Apr 16, 2026
updates
What is an algebraic function?
I am doing first year university calculus, and we are learning about the different kinds of functions. According to wikipedia, an algebraic function is in...
Apr 16, 2026
updates
What is the most accurate explanation of Zeno's Achilles and the Tortoise paradox?
I heard Zeno's "Achilles and the Tortoise" paradox is resolved using the limit concept of mathematics, i.e., the time cost in every sub-rac...
Apr 16, 2026
