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

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A: We can find the answer as below.

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A: Given function is Differentiating with respect to x To find critical numbers of p(x)  That is ,…

Q: Of all numbers whose sum is 50, find the two that have the maximum product. That is, maximize Q =…

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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: Given ,           x+y=46           Maximize , Q=xy

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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.…

Q: Find the maximum of Q= xy if x+ y = 50. The maximum value of Q is Q =

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Q: 2. The Minimum point of y= 320

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Q: Of all numbers whose sum is 52, find the two that have the maximum product. That is, maximize Q = xy…

A: Given, Q=xy                        ...(1) Where x+y=52⇒y=52-x                            ...(2)

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A: Given query is to find the absolute maximum for function h(x) ove the interval  [−3,6].

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Q: Suppose that x and y are two positive real numbers so that x + y = 10. Maximize the product xy

A: To find the solution of the given problem use the second derivative test. Second derivative test:…

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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Q: Of all numbers whose sum is 46, find the two that have the maximum product. That is, maximize Q = xy…

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Q: 3. If a and b are positive numbers, find the maximum value of f(r) = x°(1 – xº) on [0, 1].

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Q: | (1 – a*)dæ (1 — а?) а

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A: To find the absolute maximum of the given function.

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A: There are two different questions in the image. According to our guidelines, we can solve only one…

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A: To express in the form y=3(x-p)²+q

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Q: Eind Positive Numbers XE y Such that X+Y -54$ 1oxy is maximized

A: detailed solution with explanation is given below

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Q: Find two positive numbers x and y such thatx + 2y 50 and (x + 1)(y+ 2) is a maximum.

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Q: If a and b are positive numbers, find the maximum valueof  f(x)  = x a (1  - x)b, 0 ≤ x  ≤  1

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Q: Find the coordinates of the absolute maximum an d minimum points for f(x)=2x²-x* given x €[0,4]

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

A: Let number = x,  It is given that, the function is = sum of number and its reciprocal