Answer Happy

Consider the function F(x, y) = xy² + 2xy-3y²-8x-6y +28. (a) Find the critical points, where Fx (x, y) = Fy (x, y) = 0. Enter the coordinates of the critical point with the greater y-value. Enter in the form (x,y). Frr Fry (b) Enter the matrix at that point. Fyr Fyy To enter the matrix click on the 3 x 3 grid of squares below and replace the entries with your answer. ab sin (a) f 52 𐐀х P (c) Based on this matrix, what sort of critical point is it? Local Minimum 8 R B

The function f(x, y) = ³−3x²y + 3xy²-y3+24 x² -8 y2 - 108 x + 12 y + 80 has a critical point on the x-axis. (a) (i) Enter f (x,0) = (ii) Enter fy (a,0) = (b) Enter the x-coordinate of the critical point, where both these derivatives are zero. 1 (c) Enter the matrix frr fry [fyr fyy] at that point. To enter the matrix click on the 3 x 3 grid of squares below and replace the entries with your answer. sin (a) f an Əx (d) Based on this matrix, what sort of critical point is it? Local Max 8 B