- #1

sandy.bridge

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## Homework Statement

[itex]\vec{F}=(4x, 3y, 0)[/itex]

Find the flux over the part of the sphere centered at (0, 0, 0) with radius 4 between the planes z=-1.19 and z=0.87.

## The Attempt at a Solution

[itex]\hat{N}=(x, y, z)/4[/itex]

[itex]\int\int_{S}(4x, 3y, 0)\bullet([(x, y, z)/4])dxdy[/itex]

[itex]0.25\int\int_{S}(4x^2+3y^2)dxdy[/itex]

The issue I am having is the limits of integration. I converted to polar but got a bit confused because there was three values for r due to the locations of the planes that intersect the sphere. Any recommendations?

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