1. Compute the partial derivatives with respect to x and y of the function F ( x , y ) = ( x 2 y +…

1.          Compute the partial derivatives with respect to x and y of the function

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F(x, y) = (x2y + x3  + y3).

 

 

2.          What is the Jacobian matrix for a linear system

 

x' = ax + by y' = cx + dy?