Question 4 The function f (x, y) = x3 - 3x2y+3xy2 - y3 +x2+2xy+ y2 -5 x + y+ 1 has a critical point on the -axis. 3 points (a) (i) Enter fx (x, 0) = 3*x^2+2*x-5 (ii) Enter fy (x, 0) = -3*x^2+2*x+1 (b) Enter the x-coordinate of the critical point, where both these derivatives are zero. O (c) Enter the matrix fax fay at that point. fyx fyy ] To enter the matrix click on the 3 x 3 grid of squares below and replace the entries with your answer. sin (a) OO a ? 6 . x - 6 . y +2 6 . x+6 . y+2 - 6 . x+6 . y+2 6 . x-6. y+2 (d) Based on this matrix, what sort of critical point is it? Local Min There is also a critical point on the y-axis. (e) Enter its y-coordinate. Submit Assignment Quit & Save Back Question Menu Next