Question

Proof of vector identity $(\nabla \times B)\times B = -\frac{1}{2}\nabla B^2 + (B \cdot \nabla)B$

score 1k · Answer 1 · 2026-04-17 09:00:42

1k

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Proof of vector identity $(\nabla \times B)\times B = -\frac{1}{2}\nabla B^2 + (B \cdot \nabla)B$

Published on 17 Apr 2026 - 9:00

score 95 · Answer 2 · 2026-04-13 22:02:14

95

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Why is this function not differentiable at $ (1,1)$?

Published on 13 Apr 2026 - 22:02

score 537 · Answer 3 · 2026-04-16 13:23:25

537

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Is there a nice way to evaluate $\iiint_{E}\, \frac{dx\,dy \,dz}{\sqrt{x^2+y^2+(z-b)^2}}$ where $E:x^2+y^2+z^2\leq a^2$

Published on 16 Apr 2026 - 13:23

score 123 · Answer 4 · 2026-04-16 19:09:39

123

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Show that $m:\mathbb{R}^m\times\mathbb{R}^m\rightarrow\mathbb{R},(x,y)\mapsto\langle x,y\rangle$ is differentiable.

Published on 16 Apr 2026 - 19:09

score 998 · Answer 5 · 2026-03-25 09:48:30

998

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Curve of Intersection between a Surface and a Plane

Published on 25 Mar 2026 - 9:48

score 925 · Answer 6 · 2026-04-09 19:03:59

925

Views

how to classify critical points for a 2 variable function

Published on 09 Apr 2026 - 19:03

score 52 · Answer 7 · 2026-04-16 12:33:47

52

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Define $f : \mathbb{R}^2 \to \mathbb{R}$ by $f(0, 0) = 0$ and $f(x, y) = \frac{x^2y}{x^4+y^2}$ if $(x, y) \neq (0, 0)$. Show all direc. deriv exist.

Published on 16 Apr 2026 - 12:33

score 70 · Answer 8 · 2026-04-12 18:03:16

70

Views

Computing the electric flux

Published on 12 Apr 2026 - 18:03

score 38 · Answer 9 · 2026-04-12 09:13:01

38

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Finding the absolute maximum

Published on 12 Apr 2026 - 9:13

score 2.7k · Answer 10 · 2026-04-14 14:41:15

2.7k

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Find the volume common to sphere $x^2+y^2+z^2$ and the cylinder $x^2+y^2<ax$

Published on 14 Apr 2026 - 14:41

score 803 · Answer 11 · 2026-04-15 22:24:16

803

Views

Find absolute maximum and minimum values by parametrizing the boundaries

Published on 15 Apr 2026 - 22:24

score 747 · Answer 12 · 2026-04-13 05:11:12

747

Views

Uniqueness theorem for analytic function defined on $\mathbb{R}^n$

Published on 13 Apr 2026 - 5:11

score 49 · Answer 13 · 2026-04-15 19:41:43

49

Views

If a complicated function $F$ satisfies $F(x,y)=R(x,y)$, where $R$ is a rational function, can we safely take limits on both sides?

Published on 15 Apr 2026 - 19:41

score 104 · Answer 14 · 2026-04-14 10:10:26

104

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Confusion related to changing the order of integrals.

Published on 14 Apr 2026 - 10:10

score 882 · Answer 15 · 2026-04-15 22:38:22

882

Views

Find the volume common to the surfaces $y^2+z^2=4ax$ and $x^2+y^2=2ax$

Published on 15 Apr 2026 - 22:38

List Question

Proof of vector identity $(\nabla \times B)\times B = -\frac{1}{2}\nabla B^2 + (B \cdot \nabla)B$

Why is this function not differentiable at $ (1,1)$?

Is there a nice way to evaluate $\iiint_{E}\, \frac{dx\,dy \,dz}{\sqrt{x^2+y^2+(z-b)^2}}$ where $E:x^2+y^2+z^2\leq a^2$

Show that $m:\mathbb{R}^m\times\mathbb{R}^m\rightarrow\mathbb{R},(x,y)\mapsto\langle x,y\rangle$ is differentiable.

Curve of Intersection between a Surface and a Plane

how to classify critical points for a 2 variable function

Define $f : \mathbb{R}^2 \to \mathbb{R}$ by $f(0, 0) = 0$ and $f(x, y) = \frac{x^2y}{x^4+y^2}$ if $(x, y) \neq (0, 0)$. Show all direc. deriv exist.

Computing the electric flux

Finding the absolute maximum

Find the volume common to sphere $x^2+y^2+z^2$ and the cylinder $x^2+y^2<ax$

Find absolute maximum and minimum values by parametrizing the boundaries

Uniqueness theorem for analytic function defined on $\mathbb{R}^n$

If a complicated function $F$ satisfies $F(x,y)=R(x,y)$, where $R$ is a rational function, can we safely take limits on both sides?

Confusion related to changing the order of integrals.

Find the volume common to the surfaces $y^2+z^2=4ax$ and $x^2+y^2=2ax$

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