(a) Let F: R4 + R2 is a function F(x, y, u, v) = (uº + vx +y, uy + 03 – x) If F(x, y, u, v) = 0 then can we find a point

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A Let F R4 R2 Is A Function F X Y U V Uo Vx Y Uy 03 X If F X Y U V 0 Then Can We Find A Point 1 (63.48 KiB) Viewed 29 times

(a) Let F: R4 + R2 is a function F(x, y, u, v) = (uº + vx +y, uy + 03 – x) If F(x, y, u, v) = 0 then can we find a point of u,v (which is also be function of x,y) ? in this case, calculate Ox (if you can find many points, then you can show one point and calculate to that point only) = 222222222222 au = (b) Given (x, y) = (2,3) then Find index of x2 + y2 – 7x – 8y+xy+16+(x - 2)3 and describe the character of function at this point (by using Morse Lemma) Describe every detail