Recent questions in Others

1 votes
0 answers
332
What is the number of solutions of: \[ x=\frac{x^{2}}{50}-\cos \frac{x}{2}+2 \] in $[0,10]?$ $0$$1$$2$$\infty$
1 votes
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333
Let $A$ be an element of $\mathrm{M}_{4}(\mathbb{R})$ with characteristic polynomial $t^{4}-t$. What is the characteristic polynomial of $A^{2}$ ?$t^{4}-t$$t^{4}-2 t^{3}+...
1 votes
0 answers
334
1 votes
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339
Let $p$ be a prime number. What is the number of elements in the group $\mathbb{Q} / \mathbb{Z}$ that have order exactly $p?$$0$$p-1$$p$$\infty$
1 votes
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340
1 votes
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342
1 votes
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343
Let $m$ be the number of positive integers $n$ such that $1 \leq n \leq 2022$ and such that $n$ has an odd number of (positive integer) divisors. Then $m$ is$22$$33$$44$$...
1 votes
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348
The value of\[\lim _{n \rightarrow \infty} \int_{0}^{1} \frac{n e^{x}}{1+n^{2} x^{2}} d x\]is$\pi e$$\frac{\pi}{2}$$\frac{\pi}{2} e$$\pi$
1 votes
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349
What is the number of real solutions of the equation\[e^{\sin x}=\pi ?\]$0$$1$Countably infiniteUncountable