= Exercise 0.3.4. Consider the function f(x, y) axPy, defined on C = {(x, y) = R² : x > 0, y > 0} For what values of a, p, and q is the function convex? Strictly convex? For what values is it concave? Strictly concave?

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A: Please find attachment for the details solution

Q: Which of the following are functions from.16 ?the set of real numbers to itself fi = ((1,x): x E R)…

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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: the doi n ain of the functions

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Q: The domain of the function f(x, y) = is {(x,y) € R? : y 2 -x} Vy+x صواب İhi

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Q: 3. Find all functions from X = {a,b} to Y = {p,r, t}.

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Q: The domain of the function f(x, y) is R? \ {(0, 0)}. x2 +y2 OTrue False

A: use the definition of the domain of f(x,y)

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A: As per the guidelines repost the other questions.Question (1):

Q: Determine the numerical value of F (2, 3, -1) given the function F(x, y, z) = 2x²y = xz² + 3y²z. y

A: The given function is ; F(x,y,z)=2x2y-xz2+3y2z.

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