List questions from multivariable-calculus

Published on 10 Apr 2026 - 12:16

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The surface integral $\int_S z^2 \, dS$ over the cube $S$

Published on 11 May 2026 - 8:28

38

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Create a multivariate function from a set of points

Published on 10 May 2026 - 12:30

560

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Delta function with 2 variables

Published on 11 Apr 2026 - 6:05

50

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Writing the integral of an indicator function as a surface integral

Published on 05 May 2026 - 21:04

56

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Showing that $J(W) = || S w || - \frac{1}{2} w^T S w$ is maximized only when $||w| = 1$

Published on 16 Apr 2026 - 3:16

1k

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Prove that $\lim_{(x,y)\to(0,0)}\frac{x^2+y^2+5xy}{x-y}$ does not exist

Published on 16 Apr 2026 - 3:42

551

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Calculus III - Lateral Surface Area

Published on 15 Apr 2026 - 16:31

36

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Show that $\nabla^{2}\left ( x_{i}x_{j}r^{n} \right ) = 2\delta _{ij}r^{n}+n\left ( n+5 \right )x_{i}x_{j}r^{n-2}$

Published on 10 May 2026 - 19:25

106

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Prove that the next function $f$ is not continuous at $(0,0)$

Published on 14 Apr 2026 - 3:56

654

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WolframAlpha and I don't agree on $( xy\sin y )/(3x^2+y^2)$ as $(x,y)\to(0,0)$

Published on 10 May 2026 - 17:39

35

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Chain rule (hopefully simple question?)

Published on 11 Apr 2026 - 0:38

217

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Rigorous derivation of MLE in two-parameter case when second derivative test fails

Published on 14 Apr 2026 - 2:46

199

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If a function has a local extremum at the point $(x_0,y_0)$ along every line, then does the function have a point of extremum?

Published on 15 Apr 2026 - 23:16

43

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Stuck on limit of line integral

Published on 15 May 2026 - 7:48

List Question

Integrating with 3 products (Quantum Mechanics)

The surface integral $\int_S z^2 \, dS$ over the cube $S$

Create a multivariate function from a set of points

Delta function with 2 variables

Writing the integral of an indicator function as a surface integral

Showing that $J(W) = || S w || - \frac{1}{2} w^T S w$ is maximized only when $||w| = 1$

Prove that $\lim_{(x,y)\to(0,0)}\frac{x^2+y^2+5xy}{x-y}$ does not exist

Calculus III - Lateral Surface Area

Show that $\nabla^{2}\left ( x_{i}x_{j}r^{n} \right ) = 2\delta _{ij}r^{n}+n\left ( n+5 \right )x_{i}x_{j}r^{n-2}$

Prove that the next function $f$ is not continuous at $(0,0)$

WolframAlpha and I don't agree on $( xy\sin y )/(3x^2+y^2)$ as $(x,y)\to(0,0)$

Chain rule (hopefully simple question?)

Rigorous derivation of MLE in two-parameter case when second derivative test fails

If a function has a local extremum at the point $(x_0,y_0)$ along every line, then does the function have a point of extremum?

Stuck on limit of line integral

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