Let 6 30 43 A: -1 -1 1 5 25 35 (a) Compute det(A) = (b) Use Cramer's rule to solve the following system 6x130x2 + 43x3 -1 - -21 22 + x3= 2 5x125x2 + 35x3 = 5 1: 2. 42 =x2 = 9. 31 9.

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A: Given:= f(x,y) = x3y2U = (-3,3) P= (-1,-2)   The directional derivative being negative means that…