Question

For what values of $m$ is $\frac{y^{m}(1-\cos x)}{x^{4}+2y^{2}}$ continuous at $(0,0)$?

score 504 · Answer 1 · 2026-04-16 03:49:19

504

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For what values of $m$ is $\frac{y^{m}(1-\cos x)}{x^{4}+2y^{2}}$ continuous at $(0,0)$?

Published on 16 Apr 2026 - 3:49

score 99 · Answer 2 · 2026-04-14 03:12:30

99

Views

What's wrong with my answer about this integral?

Published on 14 Apr 2026 - 3:12

score 1.1k · Answer 3 · 2026-03-25 06:11:24

1.1k

Views

Injectivity of the spherical coordinates map

Published on 25 Mar 2026 - 6:11

score 249 · Answer 4 · 2026-04-09 17:57:35

249

Views

Calculating the expectation of a multivariate probability function

Published on 09 Apr 2026 - 17:57

score 1.1k · Answer 5 · 2026-04-14 08:35:30

1.1k

Views

Sketching the contour map of a function with several variables

Published on 14 Apr 2026 - 8:35

score 69 · Answer 6 · 2026-04-09 04:24:11

69

Views

Chain rule for radial and angular coordinates in higher dimension

Published on 09 Apr 2026 - 4:24

score 465 · Answer 7 · 2026-04-16 22:54:35

465

Views

Show that the double integral $\iint_R f(x,y) dx dy $ does not exist

Published on 16 Apr 2026 - 22:54

score 580 · Answer 8 · 2026-04-19 15:03:14

580

Views

How to find limits of integration in changed coordinates

Published on 19 Apr 2026 - 15:03

score 1.3k · Answer 9 · 2026-04-15 20:50:52

1.3k

Views

Divergence and Curl of a vector field $\vec{F}$

Published on 15 Apr 2026 - 20:50

score 81 · Answer 10 · 2026-04-13 19:49:47

81

Views

Do I have to include the Jacobian when using this form of the surface integral?

Published on 13 Apr 2026 - 19:49

score 58 · Answer 11 · 2026-04-10 01:58:20

58

Views

Proving differentiability without using partial derivatives

Published on 10 Apr 2026 - 1:58

score 71 · Answer 12 · 2026-04-12 17:45:18

71

Views

Find a minimum of $f(x,y)$ without the isoperimetric inequality

Published on 12 Apr 2026 - 17:45

score 120 · Answer 13 · 2026-04-12 05:43:06

120

Views

change of variable for surface integral in the proof of mean value property of harmonic function

Published on 12 Apr 2026 - 5:43

score 39 · Answer 14 · 2026-04-15 05:02:26

39

Views

Doubt in Computing $\iint_S x dxdy$ where $S: x^2+y^2=1$

Published on 15 Apr 2026 - 5:02

score 73 · Answer 15 · 2026-04-15 18:16:13

73

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Given a smooth function $u$, what is the meaning of $\nabla u \otimes D^2 u$ (where $D^2$ is the Hessian matrix)?

Published on 15 Apr 2026 - 18:16

List Question

For what values of $m$ is $\frac{y^{m}(1-\cos x)}{x^{4}+2y^{2}}$ continuous at $(0,0)$?

What's wrong with my answer about this integral?

Injectivity of the spherical coordinates map

Calculating the expectation of a multivariate probability function

Sketching the contour map of a function with several variables

Chain rule for radial and angular coordinates in higher dimension

Show that the double integral $\iint_R f(x,y) dx dy $ does not exist

How to find limits of integration in changed coordinates

Divergence and Curl of a vector field $\vec{F}$

Do I have to include the Jacobian when using this form of the surface integral?

Proving differentiability without using partial derivatives

Find a minimum of $f(x,y)$ without the isoperimetric inequality

change of variable for surface integral in the proof of mean value property of harmonic function

Doubt in Computing $\iint_S x dxdy$ where $S: x^2+y^2=1$

Given a smooth function $u$, what is the meaning of $\nabla u \otimes D^2 u$ (where $D^2$ is the Hessian matrix)?

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