Find the absolute maximum and minimum values of f on the set D where f(x, y) = x² + 4y² − 2x − 8y + 1 and D = {(x, y) ; 0 ≤ x ≤ 2,0 ≤ y ≤ 3}.

Q: Are the following functions quasi-concave? Assume x ≥ 0 a) f(x) = a b) f(x) = a + cx², c < 0

A: Both questions are different so I soved 1st queation if you want 2nd one then repost it again.

Q: Find maximum and minimum values of the function 2х + 1 2 3

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Q: Find the absolute maximum and minimum values of f on the set D. f(x,y) = x2 + y2 + x2y +6 D =…

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Q: The domain of the function f(x,y)= V1-x²-y² +In(x²+y² – 1) is empty Select one: O True O False

A: we have to find the domain for f(x)

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A: we solve this LLP by  graphical methods.

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A: Answer

Q: The given functions are concave or convex or neither in the domain: 1). f(x, y) = 2r-y-r²+2ry-y² 2).…

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Q: 2. Sketch the domain of the following functions: a) f(x, y) = b) f(x, y, z)= 2-x-y - eª %2 In(4-x² -…

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Q: Find all global minimum points of ƒ in R³, if ƒ (x1, x2, x3) = ex² + x½ + 2x²x3 + x² − 8x2 - 8x3

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Q: Any function of the form f(x, y) = ax*y" where a is a real number and k, n are positive integers…

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Q: If x and y are both less then 0 and xy

A: Given, x and y are less than 0. Then xy = ?

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Q: 2. Find whether the function F-(* - y' )i + (v² - 3x)j + (:² - xy is irrotational.

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Q: b) Find 4°f(x) if f(x) = (3x+1)(3x+4)(3x+7) ... (3x + 19) %3D

A: We will answer the first question only as we don't answer multiple question at a time. Please…

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Q: Select the following functions that are bijective. ƒ₂: R → R, ƒ₂(x) = 14 f₂: R → R, f₂(x) = x f₁: R…

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Q: 4. Show that the function f: R → R defined by f(x) = x² - 3x + 1 is not one-to-one.

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Q: Find minimum and maximum for the function 6 x + 4 y under conditions: x2 0; yz 0; -x+y s 12; x+ys…

A: The objective is to find maximum and minimum value of the function 6x+4y.