n Exercise 2. A squircle is the curve x + y = 1 shown below. Write...

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n Exercise 2. A squircle is the curve x + y = 1 shown below. Write g (2,y) = x +44-1=0 , Compute f => g; Y | +31=Y 1- 31-y min: dxdy -1/4 (4) + which gives (x=2xx { 2y=2x43 x = 0, y = 0 or x=y. If x = 0, then glo, y) Yields (0, 1) 9 17 y = 0, then we have (1,0) If x=42, then we have ( 2 1/4, 2 1/4 ) Plug in points into of to find max. min. X Max: /1,0) (0,1) By using the method of Lagrange-multipliers find all critical points of the function f(x, y) = x+y restricted to the squircle, and determine whether they are minima, maxima, off neither. Siny 57.0 - when y = nT 9 n Exercise 2. A squircle is the curve x + y = 1 shown below. Write g (2,y) = x +44-1=0 , Compute f => g; Y | +31=Y 1- 31-y min: dxdy -1/4 (4) + which gives (x=2xx { 2y=2x43 x = 0, y = 0 or x=y. If x = 0, then glo, y) Yields (0, 1) 9 17 y = 0, then we have (1,0) If x=42, then we have ( 2 1/4, 2 1/4 ) Plug in points into of to find max. min. X Max: /1,0) (0,1) By using the method of Lagrange-multipliers find all critical points of the function f(x, y) = x+y restricted to the squircle, and determine whether they are minima, maxima, off neither. Siny 57.0 - when y = nT 9