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Trigonometry
Question

Among all rectangular regions \(0 \leq x \leq a ,...

Among all rectangular regions \(0 \leq x \leq a , 0 \leq y \leq b\) , find the one for which the total outward flux of \(F = ( x ^ { 2 } + 4 x y ) i - 6 y j\) across the four sides is least. What is the least flux?

Answer

\(a = 2 , b = 1 \text { . The minimum flux is } - 4\)

Solution
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