List questions from multivariable-calculus

Published on 10 Apr 2026 - 12:27

191

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What to do when we can't apply the implicit function theorem?

Published on 09 Apr 2026 - 3:36

62

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Question about an argument in Lang's Calculus of Several Variables

Published on 25 Mar 2026 - 16:44

237

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Define normal vector for surface of implicit form

Published on 25 Mar 2026 - 6:09

2.6k

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Find a unit vector that minimizes the directional derivative at a point

Published on 06 Apr 2026 - 18:59

40

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Joint Probability Density (Graphing)

Published on 06 Apr 2026 - 7:27

318

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Intersection of two a hyperplane and a sphere in n dimentions

Published on 22 Mar 2026 - 11:30

602

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Understanding Morse's Lemma

Published on 09 Apr 2026 - 2:39

550

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A particular proof of the mean value inequality for vector valued functions

Published on 22 Mar 2026 - 8:54

296

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How many cells are expected?

Published on 09 Apr 2026 - 1:26

215

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Maxima and minima of function with limiting condition (lagrange multiplier)

Published on 24 Mar 2026 - 19:01

54

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Compute $\iint_D\frac{xy}{(1+y^2)^2}\,\mathrm{d}x\,\mathrm{d}y$ where $D=\{(x,y):x\geq 0,\ y\geq 0,\ x^2+y^2 \leq 1\}$

Published on 21 Mar 2026 - 17:49

61

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Compute $\iint_D(x^2-y^2)^{10}dxdy,$ where $D$ is bounded by $|x|+|y|\leq 1.$

Published on 22 Mar 2026 - 5:02

1.4k

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Let $f : \mathbb{R}^2 \to \mathbb{R}^2$ be defined by the equation $f(x, y) = (e^x \cos y, e^x \sin y)$

Published on 25 Mar 2026 - 3:21

87

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Compute $\iint_D(x^2-y^2)e^{2xy}dxdy$.

Published on 22 Mar 2026 - 0:42

List Question

Calculate $\text{div} (f)$

What to do when we can't apply the implicit function theorem?

Question about an argument in Lang's Calculus of Several Variables

Define normal vector for surface of implicit form

Find a unit vector that minimizes the directional derivative at a point

Joint Probability Density (Graphing)

Intersection of two a hyperplane and a sphere in n dimentions

Understanding Morse's Lemma

A particular proof of the mean value inequality for vector valued functions

How many cells are expected?

Maxima and minima of function with limiting condition (lagrange multiplier)

Compute $\iint_D\frac{xy}{(1+y^2)^2}\,\mathrm{d}x\,\mathrm{d}y$ where $D=\{(x,y):x\geq 0,\ y\geq 0,\ x^2+y^2 \leq 1\}$

Compute $\iint_D(x^2-y^2)^{10}dxdy,$ where $D$ is bounded by $|x|+|y|\leq 1.$

Let $f : \mathbb{R}^2 \to \mathbb{R}^2$ be defined by the equation $f(x, y) = (e^x \cos y, e^x \sin y)$

Compute $\iint_D(x^2-y^2)e^{2xy}dxdy$.

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