The definition of the error function also defines an "error term" E(x, y). Find E(x, y) for the function f(x, y) = 4zy at the point (1, 1/4, 1).

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: Let P(x, y) be a point on the graph of y = √x. Express the distance, d, from P to (2, 0) as a…

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Q: find the extrema (minimum and maximum) of f(x) = x2-1 on (-1,2). If none, explain why.

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Q: Find the values of a and b that makes f continous everywhere if  f(x) =

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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: Find the mean value of the function f(X,Y)= X² + y².

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Q: Q (1): Find fxyz for the function: = xe² + ye* + zey a) f(x, y, z) %3D

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Q: Find ƒx and ƒy when ƒ(x, y) = y8 + 2x6 + 2xy.

A: Given f(x,y)=y8+2x6+2xy For finding fx differentiate f(x,y) with respect to x fy differentiate…

Q: f(x, y) = 8 – + xy. I y

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Q: Find the domain and range of  W=1/x+y

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Q: What is the domain of the function y=sec(x+π)

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Q: Find f, (x.y) if f(x.y)=x - 5xy- 4y2.

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Q: determine the most general function M(x, y) or N(x, y) so that equation is exact.

A: We have to find M(x, y) Or N(x, y).

Q: Draw the level curve for z = f(x, y) for each of the values listed below. Label each level curve…

A: Equating 2x2-y = z Equating with the values of z we can draw the graph for each function

Q: Let P(x, y) be a point on the graph of y =√x. Express the distance, d, from P to (1, 0) as a…

A: Given that :  P(x,y) be any point on the graph of y=xDistance between…

Q: Find ƒx and ƒy when ƒ(x, y) = 3x2y + 2.

A: we have to find the derivative of the function f(x,y) = 3x2y + 2 w.r.t x and y

Q: Find the relative maxima and minima of y by the second-derivate test: y= 2x/(1-2x) (x is not 1/2)

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Q: Find fxxx for f(x,y)=x2y2

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Q: Let x + y = 28. Find y"(x) at the point (3, 1). "(3) =

A: The solution of the problem is given in the next steps.