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SRSR333
  • Member for 5 years, 7 months
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4 votes
1 answer
104 views

Showing $\frac{\sinh t}{\sinh T}$ extremises the functional $S[x]=\int_0^T\big(\dot x(t)^2+x(t)^2\big)\ \mathrm dt$ with given boundary conditions

3 votes
0 answers
84 views

How do I parametrise the hyperbola $xy = y^2 -1$?

3 votes
3 answers
5k views

Calculate the length of the closed curve $x^{2/3} + y^{2/3} = 4$

2 votes
4 answers
88 views

Show that if $\textbf{Ax} = \textbf{0}$ has only the trivial solution, then $\textbf{Ax} = \textbf{b}$ has, at most, a unique solution.

1 vote
1 answer
57 views

Given square matrices $\mathbf{A}$, $\mathbf{B}$ and $\mathbf{X}$...

1 vote
1 answer
90 views

Prove that a specific function is injective...

1 vote
1 answer
49 views

To prove that a span of a set of vectors is a subset of a span of another set of vectors...

0 votes
3 answers
261 views

Calculate $\int x\sqrt{x^2 - 4x} \mathrm{d}x$...

0 votes
1 answer
280 views

If the determinants of two matrices, $A$ and $B$, of order $n$, $= 0$, are they row-equivalent?

0 votes
1 answer
93 views

Show that if the product of the determinants of two square matrices of order $n$ is non-zero, both matrices are row-equivalent.

0 votes
4 answers
214 views

Why is $\lim_{x \to 0} x\cdot \left\lfloor\frac{1}{x}\right\rfloor = 1$? [duplicate]

0 votes
1 answer
222 views

Prove that $\lim_{x \to 3}{\sqrt{x^2 - x + 3}} =3$ using the precise definition of limits...

0 votes
0 answers
144 views

Prove that if $f(x) > 0 \; \forall \;x \in (a, b)$, then $\int_a^b{f(x) \; \mathrm{d}x} > 0$. [duplicate]