- #1

Damascus Road

- 120

- 0

Hello all,

Evaluate

[tex] \int\int r. da [/tex]

over the whole surface of the cylinder bound by

[tex]x^{2} + y^{2} = 1, z=0 [/tex] and [tex] z=3. [/tex]

[tex]\vec{r} = x \hat{x} + y \hat{y} + z \hat{z} [/tex]

Sorry for the awkward formatting, this site is giving me trouble.

Anyways,

it seems to me that since I have 3 dimensions I'm asked to use I must resort to Green's theorem,

and I will eventually have a triple integral with x=0 to 1, y=0 to 1 and z=0 to 3.

What's my tau (volume unit) though? I have the area condition which only includes x and y, and the z condition on its own...

help!

Evaluate

[tex] \int\int r. da [/tex]

over the whole surface of the cylinder bound by

[tex]x^{2} + y^{2} = 1, z=0 [/tex] and [tex] z=3. [/tex]

[tex]\vec{r} = x \hat{x} + y \hat{y} + z \hat{z} [/tex]

Sorry for the awkward formatting, this site is giving me trouble.

Anyways,

it seems to me that since I have 3 dimensions I'm asked to use I must resort to Green's theorem,

and I will eventually have a triple integral with x=0 to 1, y=0 to 1 and z=0 to 3.

What's my tau (volume unit) though? I have the area condition which only includes x and y, and the z condition on its own...

help!

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