Question

Let $f:\mathbb{R}^3\to \mathbb{R}^2$ be of class $C^1$; write $f$ in the form $f(x, y_1, y_2)$. Assume that $f(3, -1, 2)=0$ and

score 247 · Answer 1 · 2026-04-04 11:22:18

247

Views

Let $f:\mathbb{R}^3\to \mathbb{R}^2$ be of class $C^1$; write $f$ in the form $f(x, y_1, y_2)$. Assume that $f(3, -1, 2)=0$ and

Published on 04 Apr 2026 - 11:22

score 354 · Answer 2 · 2026-03-31 08:13:47

354

Views

Uncountable unions of nested sets in a sigma field

Published on 31 Mar 2026 - 8:13

score 39 · Answer 3 · 2026-03-27 08:42:02

39

Views

Prove that a sequence of functions converges uniformly on a given set

Published on 27 Mar 2026 - 8:42

score 43 · Answer 4 · 2026-03-27 08:41:58

43

Views

Prove that a sequence of functions converges non-uniformly on a given set

Published on 27 Mar 2026 - 8:41

score 46 · Answer 5 · 2026-03-25 22:02:53

46

Views

Study the convergence and then calculate the improper integrals

Published on 25 Mar 2026 - 22:02

score 70 · Answer 6 · 2026-03-25 23:36:08

70

Views

Study the convergence and calculate the improper integral

Published on 25 Mar 2026 - 23:36

score 534 · Answer 7 · 2026-03-25 06:13:05

534

Views

Show that the digit $d$($0<d<10$) occurs as a first digit in power of 2 with frequency $log_{10} \frac{d+1}{d}$.

Published on 25 Mar 2026 - 6:13

score 701 · Answer 8 · 2026-04-05 01:24:55

701

Views

Given $f: \mathbb{R}^5\to \mathbb{R}^2$, of class $C^1$. Let $a= (1,2,-1,3,0)$; suppose that $f(a) = 0$ and $Df(a)=$

Published on 05 Apr 2026 - 1:24

score 59 · Answer 9 · 2026-04-01 20:03:51

59

Views

Show that $T_p\nu$ is symmetric with eigenvalues $0$ and $1$

Published on 01 Apr 2026 - 20:03

score 692 · Answer 10 · 2026-03-26 12:35:21

692

Views

Using DeMoivre's Theorem to prove some identities regarding trigonometric functions

Published on 26 Mar 2026 - 12:35

score 149 · Answer 11 · 2026-03-29 14:25:05

149

Views

$\frac{4}{\pi^{2}}\sum_{k~=1}^{N}\frac{1}{k}\le\|D_{N}\|_{L^{1}({\bf T})}\le3~-\frac{2}{\pi}+\frac{4}{\pi^{2}}\sum_{k~=1}^{N}\frac{1}{k}$

Published on 29 Mar 2026 - 14:25

score 152 · Answer 12 · 2026-03-26 14:13:18

152

Views

Maximum volume of water one can drink without being burnt

Published on 26 Mar 2026 - 14:13

score 38 · Answer 13 · 2026-04-04 05:26:53

38

Views

What coordinates should I determine if I want to find the area of a surface determined by a double integral

Published on 04 Apr 2026 - 5:26

score 41 · Answer 14 · 2026-03-25 06:09:18

41

Views

Elementary question on inequality using $\;\liminf\;$

Published on 25 Mar 2026 - 6:09

score 1.2k · Answer 15 · 2026-03-26 09:30:15

1.2k

Views

Consider the bisection method starting with the interval $[1.5, 3.5]$

Published on 26 Mar 2026 - 9:30

List Question

Let $f:\mathbb{R}^3\to \mathbb{R}^2$ be of class $C^1$; write $f$ in the form $f(x, y_1, y_2)$. Assume that $f(3, -1, 2)=0$ and

Uncountable unions of nested sets in a sigma field

Prove that a sequence of functions converges uniformly on a given set

Prove that a sequence of functions converges non-uniformly on a given set

Study the convergence and then calculate the improper integrals

Study the convergence and calculate the improper integral

Show that the digit $d$($0<d<10$) occurs as a first digit in power of 2 with frequency $log_{10} \frac{d+1}{d}$.

Given $f: \mathbb{R}^5\to \mathbb{R}^2$, of class $C^1$. Let $a= (1,2,-1,3,0)$; suppose that $f(a) = 0$ and $Df(a)=$

Show that $T_p\nu$ is symmetric with eigenvalues $0$ and $1$

Using DeMoivre's Theorem to prove some identities regarding trigonometric functions

$\frac{4}{\pi^{2}}\sum_{k~=1}^{N}\frac{1}{k}\le\|D_{N}\|_{L^{1}({\bf T})}\le3~-\frac{2}{\pi}+\frac{4}{\pi^{2}}\sum_{k~=1}^{N}\frac{1}{k}$

Maximum volume of water one can drink without being burnt

What coordinates should I determine if I want to find the area of a surface determined by a double integral

Elementary question on inequality using $\;\liminf\;$

Consider the bisection method starting with the interval $[1.5, 3.5]$

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