Question

Volume of $z^2\leq y\leq 2-2x^2-z^2,\quad x\geq0$

score 132 · Answer 1 · 2026-04-16 06:22:12

132

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Volume of $z^2\leq y\leq 2-2x^2-z^2,\quad x\geq0$

Published on 16 Apr 2026 - 6:22

score 118 · Answer 2 · 2026-04-14 14:29:29

118

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Are all second partial derivatives of $f(x,y)$ nonpositive at local maximum at $x$ when $f$ is $C^2$?

Published on 14 Apr 2026 - 14:29

score 2.6k · Answer 3 · 2026-04-16 16:40:57

2.6k

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What is the higher-order derivative test in multivariable calculus?

Published on 16 Apr 2026 - 16:40

score 262 · Answer 4 · 2026-04-30 05:05:05

262

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Differentiability of $\frac{xy^2}{x^2+y^2}$...

Published on 30 Apr 2026 - 5:05

score 106 · Answer 5 · 2026-04-30 05:05:18

106

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how to find the upper and lower bound for the triple integral for the tetrahedron

Published on 30 Apr 2026 - 5:05

score 1.1k · Answer 6 · 2026-04-09 04:27:44

1.1k

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Mean value theorem for multivariable functions

Published on 09 Apr 2026 - 4:27

score 483 · Answer 7 · 2026-04-12 10:10:25

483

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Munkres-Analysis on Manifolds: Theorem 20.1

Published on 12 Apr 2026 - 10:10

score 3.7k · Answer 8 · 2026-04-16 15:00:08

3.7k

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Show that a vector field is not conservative (example)

Published on 16 Apr 2026 - 15:00

score 1.4k · Answer 9 · 2026-04-12 15:41:47

1.4k

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One-forms are dual to tangent vectors

Published on 12 Apr 2026 - 15:41

score 49 · Answer 10 · 2026-04-16 01:26:16

49

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Calculating the volume of a cone using $\int_D f = \int_K \big[\int_{h(x)}^{g(x)} \ f(x,y) \ dy \big] \ dx$ : $x\in \mathbb{R^n}, y \in \mathbb{R}$

Published on 16 Apr 2026 - 1:26

score 710 · Answer 11 · 2026-04-13 22:40:01

710

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Relation between area and perimeter of an ellipse in terms of semi-major and semi-minor axes.

Published on 13 Apr 2026 - 22:40

score 1.9k · Answer 12 · 2026-04-11 15:52:04

1.9k

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Published on 11 Apr 2026 - 15:52

score 207 · Answer 13 · 2026-04-17 14:24:24

207

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Calculating $u_t$, $u_x$, and $u_{xx}$ for $u(x, t) = -2 \frac{\partial}{\partial{x}}\log(\phi(x,t))$

Published on 17 Apr 2026 - 14:24

score 147 · Answer 14 · 2026-04-12 19:36:15

147

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Question regarding limits of multivariable functions - is it really zero?

Published on 12 Apr 2026 - 19:36

score 88 · Answer 15 · 2026-04-14 20:50:19

88

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Evaluating area of $\frac{3}{4}$ of a disc

Published on 14 Apr 2026 - 20:50

List Question

Volume of $z^2\leq y\leq 2-2x^2-z^2,\quad x\geq0$

Are all second partial derivatives of $f(x,y)$ nonpositive at local maximum at $x$ when $f$ is $C^2$?

What is the higher-order derivative test in multivariable calculus?

Differentiability of $\frac{xy^2}{x^2+y^2}$...

how to find the upper and lower bound for the triple integral for the tetrahedron

Mean value theorem for multivariable functions

Munkres-Analysis on Manifolds: Theorem 20.1

Show that a vector field is not conservative (example)

One-forms are dual to tangent vectors

Calculating the volume of a cone using $\int_D f = \int_K \big[\int_{h(x)}^{g(x)} \ f(x,y) \ dy \big] \ dx$ : $x\in \mathbb{R^n}, y \in \mathbb{R}$

Relation between area and perimeter of an ellipse in terms of semi-major and semi-minor axes.

The limits of integration for a paraboloid and plane.

Calculating $u_t$, $u_x$, and $u_{xx}$ for $u(x, t) = -2 \frac{\partial}{\partial{x}}\log(\phi(x,t))$

Question regarding limits of multivariable functions - is it really zero?

Evaluating area of $\frac{3}{4}$ of a disc

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