List questions from multivariable-calculus

Published on 10 Apr 2026 - 16:46

56

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Expressing where domain of two variable is continuous. Set notation form.

Published on 12 Apr 2026 - 5:27

695

Views

Complex Hessian and Real Hessian

Published on 06 Apr 2026 - 5:31

111

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Prove $\frac{x^{n}}{x+y^3}+\frac{y^{n}}{y+x^3} \geqslant \frac{2^{4-n}}{5}$ for $x, y > 0$ with $x+y=1$

Published on 09 Apr 2026 - 3:55

2.2k

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Differentiability at a point theorem for function of two variables

Published on 11 Apr 2026 - 21:17

102

Views

Derivative on the boundary of arbitrary domain and the definition of the differential

Published on 22 Feb 2018 - 12:40

90

Views

How to prove that a level set is not a submanifold of dimension 1

Published on 09 Apr 2026 - 0:10

295

Views

Show that two equations in ${\mathbb R}^3$ determine a curve if a rank condition is met

Published on 25 Mar 2026 - 6:29

88

Views

If $\int_Df=0$ implies $||\bar g-g||\rightarrow 0$

Published on 22 Feb 2018 - 18:11

53

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Calculating the differential function of $f(x,y) = \int^{x+y}_{0}\phi (t)\,dt$?

Published on 22 Feb 2018 - 18:47

559

Views

Show that a function is continuous in one variable.

Published on 11 Apr 2026 - 16:25

980

Views

Deriving unit vector $\hat{\theta}$

Published on 06 Apr 2026 - 1:20

29

Views

Obtaining a joint density function from a given function by scaling

Published on 11 Apr 2026 - 2:14

93

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Compute $\iiint_D\sqrt{x^2+y^2+z^2} \ dxdydx.$

Published on 27 Mar 2026 - 7:19

243

Views

Calculate $d\omega$ of an $n-1$ forms $\omega$

Published on 12 Apr 2026 - 4:49

List Question

No possible Level Surface?

Expressing where domain of two variable is continuous. Set notation form.

Complex Hessian and Real Hessian

Prove $\frac{x^{n}}{x+y^3}+\frac{y^{n}}{y+x^3} \geqslant \frac{2^{4-n}}{5}$ for $x, y > 0$ with $x+y=1$

Differentiability at a point theorem for function of two variables

Derivative on the boundary of arbitrary domain and the definition of the differential

How to prove that a level set is not a submanifold of dimension 1

Show that two equations in ${\mathbb R}^3$ determine a curve if a rank condition is met

If $\int_Df=0$ implies $||\bar g-g||\rightarrow 0$

Calculating the differential function of $f(x,y) = \int^{x+y}_{0}\phi (t)\,dt$?

Show that a function is continuous in one variable.

Deriving unit vector $\hat{\theta}$

Obtaining a joint density function from a given function by scaling

Compute $\iiint_D\sqrt{x^2+y^2+z^2} \ dxdydx.$

Calculate $d\omega$ of an $n-1$ forms $\omega$

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