I am having trouble understanding this question, so any help would be greatly appreciated :) Let F (x,y,z)=x2 i+y2 j+z2 k be the vector field defined on the surface S which the portion of the cylinder y2+z2=4, with z≥0 (z greater than or equal to 0) between the planes x=0 and x=5 oriented upward. How would I evaluate the surface integral ∬S F ∙dS for the given vector field F and the oriented surface S ?

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A: Since you have posted more than one question, we solve the first one for you. For the remaining…