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Let z=xy+x2yz = x y + x ^ { 2 } y

question 192

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Let z=xy+x2yz = x y + x ^ { 2 } y , and let xx and yy be functions of SS and tt with x(0,0) =1,y(0,0) =2x ( 0,0 ) = 1 , y ( 0,0 ) = 2 , δx/δs=3\delta x / \delta s = 3 , and δy/δs=4\delta y / \delta s = 4 at (s,t) =(0,0) ( s , t ) = ( 0,0 ) . Find δz/δs\delta z / \delta s when (s,t) =(0,0) ( s , t ) = ( 0,0 ) .


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