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The function f(x, y) = 3-3z²y+3y²-y3-22-2zy-y2-21 +33 y-9 has a critical point on the z-axis. (a) () Enter f(a,0)= (n) Enter fy (2.0) (b) Enter the z-coordinate of the critical point, where both these derivatives are zero. 數字 (c) Enter the matrix [faz 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. 8 sin (a) 00 a 22 Dz (d) Based on this matrix, what sort of critical point is it? Click for List

(d) Based on this matrix, what sort of critical point is it? Click for List There is also a critical point on the y-axis. (e) Enter its y-coordinate 數字 fax fay (f) Enter the matrix fyr fyy. sin (a) f CX S2 dr (g) Based on this matrix, what sort of critical point is it? Click for List at that point 8 E