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Help! 4. Let ( f(x, y)=x^{2}(x y+1) ). a. Find the maximum rate of increase for ( f(x, y) ) at ( (2,0) ), and

Help! 4. Let \( f(x, y)=x^{2}(x y+1) \). a. Find the maximum rate of increase for \( f(x, y) \) at \( (2,0) \), and give a vector that points in the direction of maximum rate of increase. maximum rate of in 2 answers

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