Consider the functions f(x,y)= 3–3 x y – x³ – y³ and the region R: - 2sxs2, – 2sys2 Then during the investigation of Absolute Extrema, we have to investigate(chose all possible options) O1. critical points on three boundary ) II. for values at all four intersection points II. for critical points on four boundary ) IV. Investigate for Internal critical points and (-1, -1) is an internal critical point. OV. for Internal critical points and (1, 1) is an internal critical point.

Q: . Find all critical points of the function f(x, y) = xy + x – y and classify them as loca maxima or…

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Q: Find the critical points of f (x, y) = 9y + x² + xy – 5y - y'.

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Q: Evaluate f (x, y, z) dV for the function f and region W specified. f (x, y, z) = 30z W: x² ≤ y ≤…

A: .To find: .

Q: 1. Find the critical points and discuss relative extrema f(r, y) - (r-y)(1-ry) 2. Find the critical…

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Q: Find the minimum and maximum values of the given functions in the indicated region. f(x,y) = 4x²y, 4…

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Q: Find and classify all critical points of the function f(x,y, z, w) = x +y+3z2 + w² +3ry+6xz +5rw +…

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Q: 1. Find and classify all critical points of the function f(x, y) = x² + y²-3x - 4y.

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Q: Function g(x,y) is differentiable everywhere. Classify its critical point (0,-2) if the following is…

A: Given that g(0.-2)=-2gxx(0,-2)=-1gyx(0,-2)=2gyy(0,-2)=-5

Q: 2. Find absolute extrema of the function f(x,y) =x³-3xy +y³ on the region bounded by the following…

A: (a) (Note: All answers are listed below the explanation.)(b) The minimum value is -1, and the…

Q: For the function f(x,y) := 8x² + 3y² – 48x – 18y+24, find the absolute maximum and absolute minimum…

A: • First we have to find the critical points of f(x,y) then check the function value at the critical…

Q: 5. Use the second partial test to find the relative extrema of f(x,y)=16-x² - y²

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Q: Lagrange

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Q: sensitivity analysis Max z = 3x,+ 2x2 s. to x, + 2x,56 (raw material A) 2X +X2 S8 (raw material B)…

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Q: Szcx²+yJdxdz 2

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Q: Find the values of x, y and z that correspond to the critical point of the function f(x, y) = 4x² 5x…

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Q: Describe the domain of the function f(x, y) = ln(4 x - Y).

A: as per guideline i am answering one question .please give a like !

Q: Find local extrema of function z(x, y) = 2(x - 9) - 6(y+8)² +5xy -9x+ 8y.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Q2. For the given function f, find the critical points and locate all relative (local) maximum,…

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