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Why does the trick of taking the binary representation of each digit and simply concatenating them work? e.g. 0x4E == 0100 concatenated with 1110, making ...
Find an example of a function $f(x)$ and a convergent sequence $(x_n) \rightarrow x$ where the sequence $f(x_n)$ converges, but not to $f(x)$? I thought t...
write an expression for the nth term of the sequence 0, 7, 16, 27, 40 It is neither geometric or arithmetic My teacher gave us a key and I can't read...
The question is pretty straight forward... Determine if 177 is prime using the prime number theory. I am confused what type of answer to give. The questio...
how do you find the surface area of a cylinder using integrals with height of 4 and radius of 1? I really want to find the surface area of just the side o...
How to solve trigonomtry function involving $\sin x \cos x$ and $\sin 2x$: $$\frac{1}{2} \sin(2x) + \sin(x) + 2 \cos(x) + 2 = 0. $$
I am looking for some help with this series problem for calc 2. Firstly I am to "test the following series for convergence or divergence." $\sum_{n=1}^∞ \...
My understanding right now is that an example of conditional independence would be: If two people live in the same city, the probability that person A get...
Are triangles with curved sides still considered triangles, in Euclidean space? So the sum of their angles can be bigger (or smaller) than 180 degrees? I ...
![Prove that $\sin x - x\cos x = 0$ has only one solution in $ [-\frac{\pi}{2}, \frac{\pi}{2}]$](https://edu.smbbmcl.edu.pk/uploads/prove-that-sin-x-x-cos-x-0-has-only-one-solution-in-frac-pi-2-frac-pi-2_720.jpg)
I have to prove that $\sin x - x\cos x = 0$ has only one solution in $\left[-\frac{\pi}{2}, \frac{\pi}{2}\right]$. While it seems obvious that one solutio...
