o is the upper hemsphre in where it is given by z = v1 - x2 – y², This is specifically is oriented by n, in this case is an upward unit normal You are also given the vector field of the equation F = z² k Given this information, please solve for the given flux integral: SL, F ·ndS

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Chapter2: Second-order Linear Odes
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Hello, I am stuck on a problem that is involving the flux integral, if I am able to get some assistance, with work explained.

 

I greatly appreciate it, thanks!

[Practice] Flux Integral
You are given the following information:
o is the upper hemsphre in where it is given by z = V1 – x² – y².
This is specifically is oriented by n, in this case is an upward unit
normal
You are also given the vector field of the equation F = z2 k
Given this information, please solve for the given flux integral:
SS. F · n dS
Please show all work!
Transcribed Image Text:[Practice] Flux Integral You are given the following information: o is the upper hemsphre in where it is given by z = V1 – x² – y². This is specifically is oriented by n, in this case is an upward unit normal You are also given the vector field of the equation F = z2 k Given this information, please solve for the given flux integral: SS. F · n dS Please show all work!
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