The pair of numbers whose sum is 10 and whose product is as large as possible is. (Use a comma to separate answers.) The maximum product is.

Q: Among all pairs of numbers whose sum is 20, find a pair whose product is as large as possible. What…

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Q: To find two real numbers whose sum is 23 and whose product is maximum, we should find the maximum…

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Q: Among all pairs of numbers whose difference is 14, find a pair whose product is as small as…

A: As per our guidelines, we are allowed to answer only one question. Since you have asked multiple…

Q: Give a pair of nonnegative numbers x and y such that the sum of their squares is 8 and the product…

A: We need to find two nonnegative numbers x and y such that the sum of their squares is 8 and the…

Q: Find the dimensions of the rectangle of maximum area that can be inscribed in a right triangle with…

A: According to given question we have where AB = 14 , BC = 12EF =BD = x and FD=EB = yArea of the…

Q: Among all pairs of numbers whose difference is 14, find a pair whose product is as small as…

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Q: The pair of numbers whose sum is 22 and whose product is as large as possible is (Use a comma to…

A: Let, x be one of the number from the pair who's sum is 22 and whose product is as large as possible.…

Q: Use calculus to find two numbers whose product is -16 and such that the sum of the squares of the…

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Q: Find the maximum product of two positive numbers given that the sum of the first number and twice…

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Q: A farmer wants to fence in a rectangular pen and then divide it in half with a fence parallel to one…

A: Solution is below

Q: Find the number in {x € R: – 2 <x< 2} such that the sum of that number and its square is a maximum.…

A: Given set is -2≤x≤2

Q: can there be a maximum for Q = x2 + y2 if x + y = 6? Justify your answer.

A: To check: Whether Q have maximum value or not. Given: The functions are Q=x2+y2, if x+y=6. Concept…

Q: The back of Jill's property is a creek. Jill would like to enclose a rectangular area, using the…

A: Given,          The back of Jill's property is a creek. Jill would like to enclose a rectangular…

Q: Find the maximum value of 5x1 5x2 +7x3 +X4 Subject to the condition that xx X 100 4

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Q: A farmer has 2800 yards of fence to enclose a rectangular field. Define a formula that gives the…

A: A farmer has 2800 yards of fence to enclose a rectangular field. Therefore the perimeter is 2800…

Q: 3) A homeowner wants to plant a rectangular garden next to the fence in their backyard. The fence…

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Q: To find two real numbers whose sum is 46 and whose product is maximum, we should find the maximum…

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Q: A farmer wants to fence in three sides of a rectangular field shown below with 1,120 feet of…

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Q: Among all pairs of numbers whose sum is 16, find a pair whose product is as large as possible. What…

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Q: an I ask how the maximum and mininmum points were obtained?

A: We need to find max and min points.

Q: 1. Identify the vertex of the following quadratic and state whether the vertex describes a minimum…

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Q: Find the number in {x € R: – 2< x < 2} such that the sum of that number and its square is a maximum.…

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Q: A rectangle is bounded by the x-axis and the semicircle  y = square root of (49-x^2)  (see figure).…

A: Let the length along the x axis is = 2x So the height= 49-x2 So the area is: A=2x49-x2

Q: Of all the numbers whose sum is 52, find the two that have the maximum product.

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Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A: Given: R(x)=80x-0.5x2

Q: how do i find the maximum and minnimun?  f(x)=(x-4)^2-9    that is (x-4) squared.

A: Given:

Q: A farmer decides to enclose a rectangular​ garden, using the side of a barn as one side of the…

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Q: 1. A rectangle with horizontal and vertical sides has one vertex at the origin, one on the positive…

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Q: part of a weight reduction program, a man designs a monthly exercise program consisting of…

A: In the given question, the concept of Linear Programming is applied. Linear Programming An approach…

Q: The back of Jill's property is a creek. Jill would like to enclose a rectangular area, using the…

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Q: Helen has 28 m of fencing which she can use to surround a pen for her pigs. What is the maximum area…

A: we know that square have maximum area in four side polygon so, given pen will be a square we know…

Q: The perimeter of a rectangle is 36 m. Use a calculus approach to determine the maximum area of such…

A: The solution of above question is written below.

Q: The area of a rectangle is 12 square inches.  Find the dimensions of the rectangle such that the…

A: To determine the dimensions of the rectangle of maximum perimeter.

Q: Find the length and width of a rectangle with perimeter 196 and whose area is a maximum. Assume the…

A: Let the length of the rectangle is l              width of the rectangle is w.

Q: A farmer decides to enclose a rectangular​ garden, using the side of a barn as one side of the…

A: Given information: A farmer decided to enclose a rectangular garden, using the sude if a barn as one…

Q: Among all pairs of numbers whose difference is 4, find a pair whose product is as small as possible.…

A: let the smaller number is x and the other number is x+4.and solve the question . see 2nd step.

Q: Suppose there is a rectangle with length L and width W (w < L) (in feet) that has perimeter 44 feet.…

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Q: A farmer wants to fence in three sides of a rectangular field shown below with 1,020 feet of…

A: The figure containing the rectangular field with a fence a fence and river on one side is shown…

Q: Find two numbers whose sum is 30 and whose product is the maximum possible val What two numbers…

A: Given that: Sum of two numbers is 30

Q: Find the number in {xER: -2<x<2} such that the sum of that number and its square is a maximum. Write…

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Q: Given 81 variables that satisfy 0 < a1 < a2 < ...< ası <1, what is the maximum value of

A: Given:

Q: Of all numbers whose difference is 10, find the two that have the minimum product. ..... What are…

A: The numbers can be as follows:

Q: Let h(z) = -2z 2 + 12z + 3. Complete the square and find the maximum value of h.

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Q: A rancher wants to construct a rectangular enclosure for some livestock Only three sides must be…

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Q: Given 81 variables that satisfy 0 < a1 < a2 <...< ası < 1, what is the maximum value of

A: Given:

Q: A rectangular plot adjacent to a stream is to be fenced in by using the stream as one side of the…

A: We have to find the maximum area.

Q: maximum possible area of the corral?

A: We can solve this problem in two manner. By considering as a simple arithmetic problem and also as…

Q: 2 Find the maximum value of 7x1 + X2 + X3 + 7x4 subject to the condition that x +x, +x +x = 100.

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Q: A rectangular box for a new product is designed in such a way that the Three dimensions always have…

A: Given: A rectangular box for a new product is designed in such a way that the Three dimensions…

Q: For any real x, what is the maximum value of the expression y = 2(k-x)(x+√x²+k²)?

A: This question can be solved using the concept of maximum and minimum.