Second time to post this question. Please answer accordingly!

= The graph of the equation ya x2 + x3 has been posted to the web site under "Course Materials/lab assignments". In the left-half of the plane, this graph encloses a lobe that lies to the right of the vertical line x = -1. This question is about finding the global extrema of the function f(x, y) = 1 - y2 (x + 2)2 on that lobe (including the boundary). You may consider the point x = 0, y = 0) as a "vertex" of the boundary, in the same way that such points were considered in lecture. A. Find the critical points of the function on the interior of the lobe. B. Use the method of Lagrange multipliers to find the maximum and the minimum of the function f on the boundary of the lobe. Don't forget to include the vertex. C. Find the maximum and minimum of the function f on the whole lobe (include both the interior and the boundary). D. The graph may be parameterized as x = [2 1, y = t(t2 1), with the lobe boundary corresponding to -1 st