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I am so sorry to take your time but I had a question. No matter how much I try im not understanding the Surface Integrals Of Vector Fields portion of my class. Specifically theirs this question that I was told was supposed to be simple but am still not getting for some reason. Could any of you explain it if you have the time?

Question:

I dont know how to properly format it but its question number five in the link below:

(Theirs a explenation but Im not understanding it)

https://tutorial.math.lamar.edu/problems/calciii/SurfIntVectorField.aspx

Question:

Evaluate ∬S→F⋅d→S∬SF→⋅dS→ where →F=y→i+2x→j+(z−8)→kF→=yi→+2xj→+(z−8)k→ and SS is the surface of the solid bounded by 4x+2y+z=84x+2y+z=8, z=0z=0, y=0y=0 and x=0x=0 with the positive orientation. Note that all four surfaces of this solid are included in S

 

Sorry for taking even more of your time but if possible could you explain the vector feild to me in non textbook words?

 

Thank You so much for your time.

 
 Oct 17, 2021
edited by Guest  Oct 17, 2021

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