Find three positive numbers x, y, and z such that their sum is 30 and their product is a maximum.

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Q: 2. Of all numbers whose sum is 30, find the two that have the maximum product. That is, maximize Q =…

A: To Determine: of all numbers whose sum is 50 ,find the two that have the maximum product .That is…

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A: The given function is:

Q: Consider two nonnegative numbers x and y such that x + y = 9. Find the x- and y-values that maximize…

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Q: Find the maximum of the quantity xy² where x and y are nonnegative integers and x + y = 9.

A: Since x+y=9, then x=9-y. Assume that, N=xy2=9-yy2=9y2-y3 To find the critical points, set dNdy=0.…

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Q: Find the maximum value of f(x,y,z)=y-z subject to x+y+z=1, x^2+y^2=1.

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Q: 3. Find the number in the interval E,2] such that the sum of the number and its reciprocal is (a) a…

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Q: let f (z) = z2 + z find the maximum value of If(z)l A = {z € C:0 < x, y < 2} on the square

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Q: 1. Of all numbers whose sum is 70, find the two that have the maximum product. That is, maximize Q =…

A: Let such two numbers whose sum is 70 and have the maximum product are x and y. So, we have x+y=70…

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A: Explanation of the answer is as follows

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Q: Find Positive nombers X$ Y Such that X+y = 78 and 24xy a is maximized

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Q: Find the local minimum value of f(x,y) = 4+ x11 + y11 11zy. %3D

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Q: Find the absolute maximum of p(x)=x2 −x+2 over [0,3].

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Q: Find the maximum value of f(x, y, z) = y - z Subject to x + y + z = 1,x² + y² = 1 O - √5 + 1 O-√5-1…

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Q: The sum, of three numbers is constant. Prove that their product is a maximum when they are e v and z…

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Q: Let x y, z be three non-negative integers such that x + y + z The maximum possible value of xyz + xy…

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Q: Let x and y be two positive numbers such that x+2%3D50 and (x+1)(y+2) is a maximum. Find the value…

A: topic - application of derivatives

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Q: Let a, B be positive numbers. Find the absolute maximum value of f(x) = x°(1 – x)*, 0 < x < 1.

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Q: Find three positive numbers x, y, and - whose sum is 15 and product is a maximum.

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Q: Find the local minimum value of f(x, y) = 4 + x1 + yll – 11xy. 11 11

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Q: Find the absolute maximum and the absolute minimum of f(x,y)= 3xy-3x-6y+1 on the closed triangular…

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Q: x and y are both positive numbers such that P=xy3. If the sum of both numbers is 24, determine x and…

A: given data p = xy3x+y =24

Q: -- ) Determine the values of constanas a, b, c, and d so that f(x) = ax³ + bx² + cx+d has a local…

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Q: Find a cubic function y=ax³ + bx² +cx+d that has a local maximum value of 3 at -2 and a local…

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Q: let f(z) = z2 + z find the maximum value of If(z)| on the square A = {z € C:0 < x,y < 2}

A: We have given function fz=z2+z where, z=x+iy complex number We have to find maximum value of fz on…

Q: 3. Let x and y be two positive numbers such that x+2y = 50 and (x+1)(y+2) is a maximum.

A: according to our guidelines we can answer only three subparts, or question and rest can be reposted.…

Q: The function f(x, y) = x² + 4y2- 2x + 8y-1 has a local minimum at the point (-1, 1). Select one: O…

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Q: If x² + y² < z < 1, find the maximum and minimum of the function u(x, y, z) = x + y + z

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Q: Let f(x, y) = g(x) + h(y) where g(x) and h(y) are positive. If g(x₁) ≥ g(x)and h(yo) ≥ h(y) then…

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