Question

compute $\iint_Y F.N\ dS $ with Gauss

score 67 · Answer 1 · 2026-03-30 08:37:31

67

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compute $\iint_Y F.N\ dS $ with Gauss

Published on 30 Mar 2026 - 8:37

score 41 · Answer 2 · 2021-02-07 16:34:12

41

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Calculating surface area of intersection of surfaces

Published on 07 Feb 2021 - 16:34

score 1.6k · Answer 3 · 2021-02-07 19:26:02

1.6k

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Evaluate $\int \int_S z \space dS$ where $S$ is the surface of a hemisphere.

Published on 07 Feb 2021 - 19:26

score 48 · Answer 4 · 2026-04-01 09:33:29

48

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Heat inflow where $u(x,y,z) = 2y^2+2z^2$ , $K=6.5$ through surface $S$ $y^2+z^2=6, \space x\in[0,4]$

Published on 01 Apr 2026 - 9:33

score 328 · Answer 5 · 2021-02-12 09:51:53

328

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Surface integral of a scalar function.

Published on 12 Feb 2021 - 9:51

score 28 · Answer 6 · 2021-02-12 13:23:06

28

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Solving a surface integral

Published on 12 Feb 2021 - 13:23

score 654 · Answer 7 · 2026-03-31 16:19:06

654

Views

Stoke's Thm. $\vec F = (x+y^2, y+z^2, z+x^2)$ and $S$ is the triangle with vertices $(1,0,0), (0,1,0), (0,0,1)$

Published on 31 Mar 2026 - 16:19

score 1.1k · Answer 8 · 2026-03-31 17:51:44

1.1k

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Stokes' Thm. $\vec F = <2y,xz,x+y>$ through intersection of $x^2+y^2=1$ and $z=y+2$

Published on 31 Mar 2026 - 17:51

score 61 · Answer 9 · 2026-03-31 16:16:17

61

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Stoke's Thm. $\vec F = \langle x^2y,\frac{x^3}{3},xy \rangle $ and $C$ is the boundary of the intersection of $x^2+y^2=1$ and $z = y^2-x^2$

Published on 31 Mar 2026 - 16:16

score 52 · Answer 10 · 2026-03-30 08:36:46

52

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Verifying Stokes’ Thm. $\vec F = \left< -y,x,-2\right>$ where $S$ is the region defined by $z^2 = x^2 + y^2, \space z \in [0,4]$

Published on 30 Mar 2026 - 8:36

score 50 · Answer 11 · 2021-02-17 21:29:19

50

Views

Surface Integral when a Surface Normal is non-obvious

Published on 17 Feb 2021 - 21:29

score 196 · Answer 12 · 2021-02-18 18:39:48

196

Views

Vector Surface Integral over an Entire Sphere

Published on 18 Feb 2021 - 18:39

score 95 · Answer 13 · 2021-02-18 20:11:07

95

Views

Integral of $x_ix_j$ over surface of arbitrary sphere

Published on 18 Feb 2021 - 20:11

score 33 · Answer 14 · 2026-03-31 20:57:01

33

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Find the restrictions on the angles $\theta$ and $\varphi$ to the spherical surface $x^{2}+y^{2}+z^{2}=4$, z≥1

Published on 31 Mar 2026 - 20:57

score 102 · Answer 15 · 2026-02-24 05:12:30

102

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Prove that $\int_{\psi(Q^{N-1})} L \cdot \vec{n} \,dm_S=\int_{Q^{N-1}} (\vec{a}(\psi(t)) \cdot \vec{N}_\psi(t))\, dt$

Published on 24 Feb 2026 - 5:12

List Question

compute $\iint_Y F.N\ dS $ with Gauss

Calculating surface area of intersection of surfaces

Evaluate $\int \int_S z \space dS$ where $S$ is the surface of a hemisphere.

Heat inflow where $u(x,y,z) = 2y^2+2z^2$ , $K=6.5$ through surface $S$ $y^2+z^2=6, \space x\in[0,4]$

Surface integral of a scalar function.

Solving a surface integral

Stoke's Thm. $\vec F = (x+y^2, y+z^2, z+x^2)$ and $S$ is the triangle with vertices $(1,0,0), (0,1,0), (0,0,1)$

Stokes' Thm. $\vec F = <2y,xz,x+y>$ through intersection of $x^2+y^2=1$ and $z=y+2$

Stoke's Thm. $\vec F = \langle x^2y,\frac{x^3}{3},xy \rangle $ and $C$ is the boundary of the intersection of $x^2+y^2=1$ and $z = y^2-x^2$

Verifying Stokes’ Thm. $\vec F = \left< -y,x,-2\right>$ where $S$ is the region defined by $z^2 = x^2 + y^2, \space z \in [0,4]$

Surface Integral when a Surface Normal is non-obvious

Vector Surface Integral over an Entire Sphere

Integral of $x_ix_j$ over surface of arbitrary sphere

Find the restrictions on the angles $\theta$ and $\varphi$ to the spherical surface $x^{2}+y^{2}+z^{2}=4$, z≥1

Prove that $\int_{\psi(Q^{N-1})} L \cdot \vec{n} \,dm_S=\int_{Q^{N-1}} (\vec{a}(\psi(t)) \cdot \vec{N}_\psi(t))\, dt$

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