2: A necessary condition for a function to be unimodal on the interval [a, b] is that strictly convex on [a, b]. O True False

Q: a) Let the function f left parentheses x right parentheses equal 5 x raised to 4 plus 2 x cubed plus…

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Q: A group sells bird feeders to raise money. The group sells an average of 10 feeders per week at a…

A: A) Let X be the price of the feeder. First, let's find a function Q(X) giving the average quantity…

Q: Prove that if f is a continuous function on a closed interval [a, b], then

A: We have to prove the given inequality for a continuous function on a closed interval [a,b].

Q: Determine which of the points in the following list lie in the domain of the function f(x, y) =…

A: Let's find.

Q: d) Let the set A = {1, 2, 3,4} and let P(A) denote the power-set of A. Consider the following…

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Q: Which of the following statements must be true for a function that is concave up everywhere?

A: Which of the  following must be there for a function than is  concave up everywhere .

Q: 1 is IR? \ {(0,0)}. 22 + y2 The domain of the function f(*, y) True O False

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Q: Let f be the function from {a, b, c, d, e} to {1,2,3,4} with ƒ(a) = 3, ƒ (b) = 1, f(c) = 2, f(d) = 4…

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Q: (2 points) Prove Prove that for all f: X Y and A, B C X, if f is one-to-one, then 4. f(A)n f(B) ≤…

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Q: lim 3i 4 +

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Q: A relation consists of all the points in the x-y plane that are either on the line y=1 or the line…

A: Here, the objective is to determine if equation represent a function.

Q: 15-18. Find the extrema of f(x) = 3x - 4x³ on the interval [0, 2].

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Q: 07. Suppose that f, g : R → R, are convex functions of one variable things. Let's define a function…

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Q: Is the cobb-douglas function strictly concave when a1 +a2 <1 when

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Q: Problem 9. Kirchhoff's current law states that the algebraic sum of all the currents flowing into a…

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Q: Given that A = {1, 2, 3, 4, 5} and B = {x, y, z}, determine which of the sets of ordered pairs…

A: 1.  i) This ordered pair doesn't represents a function because the values 'y' corresponding to x= 4…

Q: f(x,y)=x² + 3y + 7. R is he region shown in Fig. 5 (include the boundary). y =2-x y-4- R Fig. 5

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Q: Ex3- IF Function F is bounded on [a,6], does F has as abs ,max and abs.min or no t ?

A: Yes. If the function is bounded then F has its abs. Max and min.

Q: Write down the first order and second order conditions for maximum and minimum of a function y =…

A: Given,  Function y = f(x1, x2, x3,  .  .  .  , xn). To find the first order and second order…

Q: Prove that ƒ(A)\ƒ(B) ≤ ƒ(A\B) for any function f.

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Q: f (x,y)= y² -2x² +10. Ris the region bounded by the parabola y = x and the line y = 4.

A: According to the given information, it is required to find the maximum and minimum value of f on the…

Q: EVALUATE: A. Determine if the set is a function. If it is a function state its domain. 1. { (xy)/y=…

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Q: TRUE OR FALSE. The set m = {(x2,x) | x ∈ R} is a function.

A: The given set is m=x2,x|x∈ℝ We have to find the set is function or not.

Q: Show that there exists an x in the interval (0, 1) that satisfies the given equation V = 1-x Hint:…

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Q: 10. Let Is f convex, concave, or neither? ƒ(x1, x2) = x² − I1X₂ + x² + 3x₁ − 2x₂ +1 (71; 72) € R². -

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Q: If the function f(x) is even (-<IAx), then which one of the following value is zero? a) a, b) b. c)…

A: Here it is given that function f(x) is even. So it means the given condition suggest us the…

Q: 3. Let A = {(7,9), (8, 11), (11, 4), (4, 3), (1, 11), (13, 5), (17, 11)}. %3D a) Is A a function? b)…

A: We can answer all the subparts as below