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10 Nov 2019
Question 1) Consider the function f(x,y-(2,2-y*)(y-3) on the compact set D-{(z, y) E R2 : Ñ(x, y) 0), where Ñ(x, y) x2 + y2-18. 1) Show that the candidate extrema of f on the interior of D are given by P (0,0) and P2 (0,2 2) Use the second derivative test to determine the character of P and P2 3) Sketch in one figure the set D and the set {(r, y) E DIf(x,y) -0 Also indicate where f(x, y) is positive/negative on D
Question 1) Consider the function f(x,y-(2,2-y*)(y-3) on the compact set D-{(z, y) E R2 : Ñ(x, y) 0), where Ñ(x, y) x2 + y2-18. 1) Show that the candidate extrema of f on the interior of D are given by P (0,0) and P2 (0,2 2) Use the second derivative test to determine the character of P and P2 3) Sketch in one figure the set D and the set {(r, y) E DIf(x,y) -0 Also indicate where f(x, y) is positive/negative on D
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Jamar FerryLv2
23 May 2019