List questions from multivariable-calculus

Published on 16 Apr 2026 - 13:13

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Mean Value Inequality "Inverse"

Published on 14 Apr 2026 - 22:17

151

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Composite Function Taylor Polynomial Proof

Published on 13 Apr 2026 - 5:25

380

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Verifying Green's Theorem for two functions

Published on 14 Apr 2026 - 11:08

30

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If $F(x+y,x/y)=0$ for $F$ smooth and $(x,y)$ in any open subset of $\mathbb{R}^2$, then $F=0$ on an open subset.

Published on 20 Apr 2026 - 6:07

54

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Why is the tangent line in the following problem parallel to $v=(0,1,1)$?

Published on 15 Apr 2026 - 14:49

58

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Show that when $\theta \rightarrow\infty, C(u_1, u_2) \rightarrow \min\{u1, u2\}$, where $C(u_1,u_2)$ is Frank's copula

Published on 16 Apr 2026 - 14:07

54

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Double integral done in two different ways gives two different answers

Published on 10 Apr 2026 - 14:02

43

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Exhibiting $f$ such that a vector field $\overline{v} = \nabla f$?

Published on 17 Apr 2026 - 15:06

372

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How to compute the signed distance function for an implicit surface

Published on 13 Apr 2026 - 5:44

68

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True or False: No Parametrized Surface is Closed in $\mathbb{R}^3$

Published on 15 Apr 2026 - 3:31

186

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Laplacian of the inverse of a diffeomorphism

Published on 20 Apr 2026 - 6:24

2.8k

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Does the gradient point to the direction of greatest increase or decrease or the direction of greatest increase?

Published on 17 Apr 2026 - 9:30

422

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Properties of the 1-d Heat Kernel

Published on 11 Apr 2026 - 0:15

4.9k

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Solving least squares problem using partial derivatives

Published on 11 Apr 2026 - 13:02

List Question

Prove that $f(x,y)=e^{-(x^2+y^2)^{-1}}$ is $C^\infty$

Mean Value Inequality "Inverse"

Composite Function Taylor Polynomial Proof

Verifying Green's Theorem for two functions

If $F(x+y,x/y)=0$ for $F$ smooth and $(x,y)$ in any open subset of $\mathbb{R}^2$, then $F=0$ on an open subset.

Why is the tangent line in the following problem parallel to $v=(0,1,1)$?

Show that when $\theta \rightarrow\infty, C(u_1, u_2) \rightarrow \min\{u1, u2\}$, where $C(u_1,u_2)$ is Frank's copula

Double integral done in two different ways gives two different answers

Exhibiting $f$ such that a vector field $\overline{v} = \nabla f$?

How to compute the signed distance function for an implicit surface

True or False: No Parametrized Surface is Closed in $\mathbb{R}^3$

Laplacian of the inverse of a diffeomorphism

Does the gradient point to the direction of greatest increase or decrease or the direction of greatest increase?

Properties of the 1-d Heat Kernel

Solving least squares problem using partial derivatives

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