Question

Continuity of $\begin{cases}(xy+y^2)/(x^4+y^2)&\text{if }(x,y)\neq(0,0),\\0&\text{if }(x,y)=(0,0)\end{cases}$ at origin using polar coordinates

score 906 · Answer 1 · 2026-05-15 02:44:57

906

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Continuity of $\begin{cases}(xy+y^2)/(x^4+y^2)&\text{if }(x,y)\neq(0,0),\\0&\text{if }(x,y)=(0,0)\end{cases}$ at origin using polar coordinates

Published on 15 May 2026 - 2:44

score 63 · Answer 2 · 2026-04-13 17:28:02

63

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Vector geometry proofs

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score 477 · Answer 3 · 2026-04-12 16:30:36

477

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Published on 12 Apr 2026 - 16:30

score 2.1k · Answer 4 · 2026-04-14 10:20:56

2.1k

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score 101 · Answer 5 · 2026-04-14 09:22:52

101

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70

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score 58 · Answer 7 · 2026-05-10 14:54:20

58

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861

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265

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59

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score 2.4k · Answer 11 · 2026-04-15 16:14:14

2.4k

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Published on 15 Apr 2026 - 16:14

score 90 · Answer 12 · 2026-05-11 08:39:20

90

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Evaluating $\iint_D\frac{y}{\sqrt{x^2+y^2}}\ln(x^2+y^2)\,dx\,dy$ using polar transformation

Published on 11 May 2026 - 8:39

score 130 · Answer 13 · 2026-04-10 17:45:29

130

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score 240 · Answer 15 · 2026-04-14 16:44:38

240

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List Question

Continuity of $\begin{cases}(xy+y^2)/(x^4+y^2)&\text{if }(x,y)\neq(0,0),\\0&\text{if }(x,y)=(0,0)\end{cases}$ at origin using polar coordinates

Vector geometry proofs

How to express the given disk $D$ in polar coordinates.

Why exactly limit in polar coordinates isn't sufficient to find the limit in two variables?

Integal of ds ==> Integal Integal of r dθ dr

Finding a limit using polar co-ordinates.

Integral equation in polar coodinate system

Why in polar coordinate, $(r,\theta )$ doesn't mean $re_r+\theta e_\theta $?

Proving arc length polar coordinate formula

Evaluate an integral in polar form

Solving a double integration $ \int_{0}^1\int_0^{\sqrt{2y-y^2}}\ dxdy$ using polar coordinates

Evaluating $\iint_D\frac{y}{\sqrt{x^2+y^2}}\ln(x^2+y^2)\,dx\,dy$ using polar transformation

Integral and polar coordinate transformation

Integration in Polar Coordinates Finding Bounds

Equating Coefficients of Cos and Sin

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