Question

To evaluate an integral along the curve cut from the boundary of the cube $0 \le x \le a , 0 \le y \le a , 0 \le z \le a$ by the plane $x+y+z=3a/2$

score 503 · Answer 1 · 2026-03-27 22:20:02

503

Views

To evaluate an integral along the curve cut from the boundary of the cube $0 \le x \le a , 0 \le y \le a , 0 \le z \le a$ by the plane $x+y+z=3a/2$

Published on 27 Mar 2026 - 22:20

score 272 · Answer 2 · 2015-12-31 09:01:55

272

Views

Equivalence of two vector fields

Published on 31 Dec 2015 - 9:01

score 2k · Answer 3 · 2026-03-30 07:42:42

2k

Views

To find area of the surface of the solid bounded by the cone $z=3-\sqrt{x^2+y^2}$ and the paraboloid $z=1+x^2+y^2$

Published on 30 Mar 2026 - 7:42

score 1.4k · Answer 4 · 2016-01-18 19:21:12

1.4k

Views

Find the area of the cone $z=\sqrt{2x^2+2y^2}$ inscribed in the sphere $x^2+y^2+z^2=12^2$.

Published on 18 Jan 2016 - 19:21

score 703 · Answer 5 · 2016-01-19 08:53:27

703

Views

Verify the divergence theorem for $\vec{F}=x\hat{i}-y^2\hat{j}+z^2\hat{k}$ over the region bounded by $x^2+y^2=4,z=0,z=4$

Published on 19 Jan 2016 - 8:53

score 75 · Answer 6 · 2016-01-19 20:25:46

75

Views

Find the flux of the vector field through a complicated surface.

Published on 19 Jan 2016 - 20:25

score 404 · Answer 7 · 2016-01-21 09:39:13

404

Views

Multivariable calculus del notation question

Published on 21 Jan 2016 - 9:39

score 344 · Answer 8 · 2026-03-30 11:04:53

344

Views

certain surface integral on the surface of the solid bounded by the sphere $x^2+y^2+z^2=10$ and the paraboloid $x^2+y^2=z-2$

Published on 30 Mar 2026 - 11:04

score 1k · Answer 9 · 2026-03-27 23:48:12

1k

Views

Surface integral over the surface of the cone $z=1-\sqrt{x^2+y^2}$ lying above the $xy$-plane and normal making an acute angle with $\vec k$

Published on 27 Mar 2026 - 23:48

score 131 · Answer 10 · 2016-01-27 16:35:56

131

Views

Calculate the volume bounded by the surface $(x^2+y^2+z^2)^2 = x$

Published on 27 Jan 2016 - 16:35

score 62 · Answer 11 · 2016-01-30 20:37:41

62

Views

Compute $\int_{\Sigma}x^2d\sigma$

Published on 30 Jan 2016 - 20:37

score 1k · Answer 12 · 2026-03-28 15:35:48

1k

Views

What's the point of the fancy notation for surface integrals and line integrals?

Published on 28 Mar 2026 - 15:35

score 668 · Answer 13 · 2026-03-30 17:15:47

668

Views

Calculating Volume of surface of unit sphere

Published on 30 Mar 2026 - 17:15

score 110 · Answer 14 · 2026-03-28 04:34:16

110

Views

Computing the approximate or exact area of an isosurface

Published on 28 Mar 2026 - 4:34

score 286 · Answer 15 · 2016-02-06 10:07:17

286

Views

Surface Integral of $3z^2 d\sigma$

Published on 06 Feb 2016 - 10:07

List Question

To evaluate an integral along the curve cut from the boundary of the cube $0 \le x \le a , 0 \le y \le a , 0 \le z \le a$ by the plane $x+y+z=3a/2$

Equivalence of two vector fields

To find area of the surface of the solid bounded by the cone $z=3-\sqrt{x^2+y^2}$ and the paraboloid $z=1+x^2+y^2$

Find the area of the cone $z=\sqrt{2x^2+2y^2}$ inscribed in the sphere $x^2+y^2+z^2=12^2$.

Verify the divergence theorem for $\vec{F}=x\hat{i}-y^2\hat{j}+z^2\hat{k}$ over the region bounded by $x^2+y^2=4,z=0,z=4$

Find the flux of the vector field through a complicated surface.

Multivariable calculus del notation question

certain surface integral on the surface of the solid bounded by the sphere $x^2+y^2+z^2=10$ and the paraboloid $x^2+y^2=z-2$

Surface integral over the surface of the cone $z=1-\sqrt{x^2+y^2}$ lying above the $xy$-plane and normal making an acute angle with $\vec k$

Calculate the volume bounded by the surface $(x^2+y^2+z^2)^2 = x$

Compute $\int_{\Sigma}x^2d\sigma$

What's the point of the fancy notation for surface integrals and line integrals?

Calculating Volume of surface of unit sphere

Computing the approximate or exact area of an isosurface

Surface Integral of $3z^2 d\sigma$

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