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Mathematics
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Unknown x
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7
Find $\int_0^\infty \int_0^t e^{-t}\frac{\sin(\tau)}{\tau}d\tau dt$ using laplace transform.
Dec 23, 2020
5
Evaluate $\lim _{n\to \infty }\int _{0}^{1}nx^ne^{x^2}dx$
Aug 12, 2020
4
Let $F:L^3[0,2]\to \mathbb R$ defined as $F\left(f\right)=\int _0^2t^{-\frac{2}{5}}f\left(t\right)dt.$ Find $||F||$.
Jan 12, 2023
4
Suppose $|A|=n, f:A\to A$ is injective $\implies \exists k\in [n]:f^k(x)=x$
Dec 16, 2020
4
Solve $\frac{dy}{dx}=\frac{y^2}{\left(x^2+y^2\right)^{\frac{5}{2}}}.$
Jan 4, 2021
3
An operator is compact iff it maps any weakly convergent sequence to a convergent one.
Dec 21, 2022
3
how many ways can the committee be formed if one women $W_1$ refuses to be in the committee if another particular women $W_2​$ be included?
Oct 2, 2021
3
Prove that the set of diagonalizable matrices is dense in $\mathbb C^{n,n}$ with respect to spectral norm. Is it true for any matrix norm? [duplicate]
May 16
2
Prove that spectrum of $A$ and $B$ are same.
Jan 6, 2023
2
A compact operator cannot be unbounded. Justify your answer.
Dec 16, 2022