List questions from multivariable-calculus

Published on 14 Apr 2026 - 6:12

168

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Identities relating curvature of gradient integral curves with their perpendicular velocity differential

Published on 15 May 2026 - 19:09

82

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Difficulty with an equality in the proof of implicit function theorem in Rudin's PMA (9.28)

Published on 10 Apr 2026 - 17:04

122

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What exactly do I need to show before using Fubini-Tonelli

Published on 16 May 2026 - 4:07

30

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Multivariable integration $\int_{y_0}^{y} \alpha (x,y) dy + \int_{x_0}^{x} \beta (y,z) dx = 0$

Published on 16 Apr 2026 - 22:33

735

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Local maximum and level curves on a function

Published on 14 Apr 2026 - 11:22

50

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Finding extrema of a tri-variable function under a constraint

Published on 11 Apr 2026 - 21:43

520

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How does a gradient allow the calculation of the directional derivative?

Published on 12 Apr 2026 - 4:13

639

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Derivation of $\frac{\cos(\theta)dA}{r^2} = d\omega$

Published on 06 May 2026 - 3:35

76

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How to integrate $ y\cos^4x$ over a disk?

Published on 15 May 2026 - 7:39

51

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Find the minimum distance from the point a to the set $X=\{ x=(x_1,x_2,...x_n)\mid b_1x_1+b_2x_2+...+b_nx_n=c \}$

Published on 17 Apr 2026 - 8:16

44

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Find $\lambda^{2}(A)$ while $A:=\{(x,y)\in \mathbb R^{2}: x<y,y<2,y>\frac{1}{x}\}$

Published on 16 May 2026 - 18:48

105

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Is $ f(x):= \frac{x}{ |x|^n }$ a gradient field?

Published on 16 Apr 2026 - 10:58

1.6k

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How to check if a 2 dimensional vector field is irrotational (curl=0)?

Published on 08 Apr 2026 - 20:23

73

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How to check if this weird vector field is conservative

Published on 10 Apr 2026 - 6:19

List Question

Directional derivative and the gradient

Identities relating curvature of gradient integral curves with their perpendicular velocity differential

Difficulty with an equality in the proof of implicit function theorem in Rudin's PMA (9.28)

What exactly do I need to show before using Fubini-Tonelli

Multivariable integration $\int_{y_0}^{y} \alpha (x,y) dy + \int_{x_0}^{x} \beta (y,z) dx = 0$

Local maximum and level curves on a function

Finding extrema of a tri-variable function under a constraint

How does a gradient allow the calculation of the directional derivative?

Derivation of $\frac{\cos(\theta)dA}{r^2} = d\omega$

How to integrate $ y\cos^4x$ over a disk?

Find the minimum distance from the point a to the set $X=\{ x=(x_1,x_2,...x_n)\mid b_1x_1+b_2x_2+...+b_nx_n=c \}$

Find $\lambda^{2}(A)$ while $A:=\{(x,y)\in \mathbb R^{2}: x<y,y<2,y>\frac{1}{x}\}$

Is $ f(x):= \frac{x}{ |x|^n }$ a gradient field?

How to check if a 2 dimensional vector field is irrotational (curl=0)?

How to check if this weird vector field is conservative

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