Find the absolute maximum and minimum values of the function on the triangular region whose vertices are (0,0), (1,0), (0,2) f(x,y) = x2-3xy2+2y3

Use the method of Lagrange multipliers to find the point/s on the parabola y = 3x2 that is/are closest to (0, 3). Show complete solution.

Q1/ Find maximum,minimum,and saddle point of the surface Z = x³y³ - 12x + 3y + 12.

2// calculate x,, X2, X3 from the foloucng loves equations using Gauss E limination method :- 3 X,+ X 2 + X3 =- 8 2X,-382-2X3=-5 7 X,+ Xz - X3 = 0 %3D