Q1. (40 Points) Consider the following equations F: 5x + 4y + 2? - 34 +2 +6=0 G: x + 2y +++? - 20 + 3w = -4 H: 3+3:2+ w - 2 + 2 = 1 a) Show that near the point po = (x,y,z. u ,w) = (1,0,0,0,1,-1), we can solve 4.0, w uniquely as functions of x,y,z. au b) Compute at the point po. (Hint: Use Implicit function Theorem). Q1. (40 Points) Consider the following equations F: 5x + 4y + 2? - 34 +2 +6=0 G: x + 2y +++? - 20 + 3w = -4 H: 3+3:2+ w - 2 + 2 = 1 a) Show that near the point po = (x,y,z. u ,w) = (1,0,0,0,1,-1), we can solve 4.0, w uniquely as functions of x,y,z. au b) Compute at the point po. (Hint: Use Implicit function Theorem).