List questions from multivariable-calculus

Published on 05 Apr 2026 - 13:47

38

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Thinking on $1-$forms as functions.

Published on 04 Apr 2026 - 11:40

556

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Find the points of a hyperboloid where the tangent plane is parallel to a plane

Published on 09 Apr 2026 - 2:00

57

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Compute $\iint_D4\cos^2{(2x+y)} \ dxdy$.

Published on 04 Apr 2026 - 2:59

247

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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

57

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Prove $det(F'(x)) = 0$

Published on 05 Apr 2026 - 16:34

50

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Compute $\iiint_R 6z \ dV.$

Published on 03 Apr 2026 - 20:11

45

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Compute the volume of the region $R$.

Published on 03 Apr 2026 - 19:54

70

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Compute $\iint_D(-2x-y)\cos((x-y)(-2x-y))dxdy$

Published on 04 Apr 2026 - 8:35

701

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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

360

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For what values of $(a,b,c)$ is $M$ a manifold?

Published on 03 Apr 2026 - 19:03

1.6k

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Stokes' Theorem for cross product with line element

Published on 18 Feb 2018 - 0:28

172

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Formula involving cross products $\nabla \times (F \times G)$?

Published on 25 Mar 2026 - 4:58

122

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Find the local maxima and minima of $ f(x,y) = x^3+y^3 $ in $ g(x,y) = x^2+y^2-1 $

Published on 04 Apr 2026 - 12:44

4.2k

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Lagrange interpolation of multivariate polynomials

Published on 08 Apr 2026 - 23:08

List Question

Proving a vector identity for $\text{div}(\mathbf{F} \times \mathbf{G})$

Thinking on $1-$forms as functions.

Find the points of a hyperboloid where the tangent plane is parallel to a plane

Compute $\iint_D4\cos^2{(2x+y)} \ dxdy$.

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

Prove $det(F'(x)) = 0$

Compute $\iiint_R 6z \ dV.$

Compute the volume of the region $R$.

Compute $\iint_D(-2x-y)\cos((x-y)(-2x-y))dxdy$

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 $Df(a)=$

For what values of $(a,b,c)$ is $M$ a manifold?

Stokes' Theorem for cross product with line element

Formula involving cross products $\nabla \times (F \times G)$?

Find the local maxima and minima of $ f(x,y) = x^3+y^3 $ in $ g(x,y) = x^2+y^2-1 $

Lagrange interpolation of multivariate polynomials

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