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Find the Volume Between the Graph of the Given Function f(x,y)=x2yf ( x , y ) = x ^ { 2 } y

Question 42

Essay

Find the volume between the graph of the given function and the specified rectangle. f(x,y)=x2yf ( x , y ) = x ^ { 2 } y and R={(x,y):−1≤x≤1 and −1≤y≤1}R = \{ ( x , y ) : - 1 \leq x \leq 1 \text { and } - 1 \leq \mathrm { y } \leq 1 \}

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