lew History Bookmarks Window Help G webassign.net This question has several parts that must be completed sequentially. If you skip a part of the will not be able to come back to the skipped part. Tutorial Exercise Use Lagrange multipliers to find the given extremum. Assume that x and y are positive. Minimize f(x, y) = x2 - y2 Constraint: x - 4y + 45 = 0 Step 1 Let f (x, y) = x2 - y2 and g(x, y) = x - 4y + 45. Now, define a new function F as F ( x , y , 1 ) = f ( x , y ) - Ag ( x , y ) = x2 - y2 - 1(x - 4y # 45). Find the partial derivatives of F with respect to x, y, and 1. Fx ( X , y , 1 ) = 2x - Fy ( x , y , 1 ) = - 2y + Fa( x, y, 1) = - (x - + 45 Submit Skip (you cannot come back) Need Help? Read It