List questions from multivariable-calculus

Published on 13 Apr 2026 - 8:59

512

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Is $f(x,y) = \begin{cases}\frac {x^3+y^3}{x^2+y^2}&(x,y)\neq (0,0)\\0& (x,y)=(0,0)\end{cases}$ differentiable at origin?

Published on 19 Apr 2026 - 13:04

61

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When is a function of the type $\mathbb{R}^2 \rightarrow \mathbb{R}$ $C^2$?

Published on 14 Apr 2026 - 22:21

498

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How do you do change of variables for triple integrals?

Published on 10 Apr 2026 - 1:58

24

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Check the computations made in Example $3$

Published on 15 Apr 2026 - 12:18

42

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Study derivability in different directions given a point

Published on 19 Apr 2026 - 12:00

1.7k

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Multivariate Mean Value Theorem Reference

Published on 13 Apr 2026 - 5:42

107

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Difference between the differential of a map being onto, or 1-1.

Published on 16 Apr 2026 - 2:05

401

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Alternative Proof of Liouville's Theorem for Harmonic Functions

Published on 11 Apr 2026 - 17:35

665

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Finding extrema of a function inside a square and triangle

Published on 11 Apr 2026 - 3:08

125

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Evaluating an integral using the Fubini Theorem.

Published on 10 Apr 2026 - 11:41

151

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Expect Sum of Magnitudes of Two Vectors [Edited]

Published on 14 Apr 2026 - 14:29

117

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Triple Integral utilising Cylindrical Coordinates

Published on 13 Apr 2026 - 5:06

458

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Evaluate line integral without Green's Theorem

Published on 15 Apr 2026 - 22:12

37

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Meaning of gradient in multivariable case

Published on 11 Apr 2026 - 20:55

List Question

Taylor Polynomial of Degree $2$ Question

Is $f(x,y) = \begin{cases}\frac {x^3+y^3}{x^2+y^2}&(x,y)\neq (0,0)\\0& (x,y)=(0,0)\end{cases}$ differentiable at origin?

When is a function of the type $\mathbb{R}^2 \rightarrow \mathbb{R}$ $C^2$?

How do you do change of variables for triple integrals?

Check the computations made in Example $3$

Study derivability in different directions given a point

Multivariate Mean Value Theorem Reference

Difference between the differential of a map being onto, or 1-1.

Alternative Proof of Liouville's Theorem for Harmonic Functions

Finding extrema of a function inside a square and triangle

Evaluating an integral using the Fubini Theorem.

Expect Sum of Magnitudes of Two Vectors [Edited]

Triple Integral utilising Cylindrical Coordinates

Evaluate line integral without Green's Theorem

Meaning of gradient in multivariable case

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