Describe the domain of the function f(x, y) = In(4- x- y) %3D O {x,y):y<-x+4} O (x, y):x20, y 2 0} O {(x,y):y<-x+4} O (x,y) y20) O {(x,y):y sx-4}

Q: Find the local extreme values of the function: f(x,y)=xy-x^2-y^2-3x-3y+12.

A: It is given that, fx,y=xy-x2-y2-3x-3y+12We have to find the local extreme values.

Q: 2xy// + (x + 1)y/ +3y = 0

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Q: The function f(x) = 2x + 6x? - 5x + 1 is concave upward on the interval O None (-0, c0) (-1, c0)…

A: Given, y=f(x)=2x3+6x2-5x+1 In this we have to find differentiation of function till when all the…

Q: Suppose that f(æ, y) = e" = e-3z? - 4y? +y

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Q: Maximize B=xy2​, where x and y are positive numbers such that x+y2=10.

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Q: Calculate R3 and L3 for f(x) = x2-8x+2 over [1,4] .

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Q: 3. (b) Consider the function f(x, y) = a(x² + y²) + xy + 1 for some real number a. Find Vf. Find fxx…

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Q: Find f, (2,0) if f(x,y) = 18x e Y. 1,(2.0) = %3D

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Q: Rx) = 3* f(x) = 3* -4 -2 2 4 y y 10 10 5. -4 2 4 2 -5 -5 - 10f - 10 y y 10 10 -4 2 2 4 -4 -2 4 -5 -5…

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Q: Let \n (xy) + y ² = x6+3 find dy ax

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