The pair of numbers whose sum is 22 and whose product is as large as possible is (Use a comma to separate answers.) The maximum product is

Q: What is the minimum product you can achieve from two real numbers, if one of them is three less than…

A: This question is based on application of derivative.

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

A:

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

A:

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: Find the number in (-5≤x≤1) such that the sum of thrice the number and its square is a maximum.…

A: let the x be the number in the  interval [-5,1]

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

A:

Q: 6. Find two numbers whose sum is a, if the product of the square of the one by the cube of the other…

A:

Q: A total of x feet of fencing is to form three sides of a level rectangular yard. What is the maximum…

A:

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

A:

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

A:

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: Among all pairs of numbers whose sum is 4, find a pair whose product is as large as possible. What…

A: Let the pair be (x,y) such that, x+y = 4 Now,  y = 4-x ∴ xy = x(4-x) = 4x-x2

Q: The pair of numbers whose sum is 10 and whose product is as large as possible is. (Use a comma to…

A: The objective of the question is determine the possible values for maximum product and the product…

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

A: Two numbers having sum 16 We need to find all pairs of numbers having sum 16 and whose product is as…

Q: 3. A farmer has 6000 m of fencing and wishes to create a rectangular field subdivided into four…

A:

Q: What is the maximum and minimum value of x^3 - 2^x = 0

A:

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

A:

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

A:

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

A:

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

A:

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

A: We need to find max and min points.

Q: Find two numbers whose sum is a, if the product of one by the cube of the other is to be a maximum.…

A:

Q: A rancher has 300 feet of fencing to enclose two adjacent rectangular corrals, as shown in the…

A: A rancher has 300 feet of fencing to enclose two adjacent rectangular corrals, the equation…

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: a rectangle is delimited by the x axis and the semicircle, y = v2 25 -X^2 how long and wide the…

A:

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

A:

Q: A farmer wishes to fence off a rectangular sheep pen and uses all of 100m of fencing. An adjoining…

A:

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

A:

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

A:

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: find the dimensions of a rectangular plot of land such that the perimeter is 80 meters and the area…

A:

Q: 3. Find two positive read numbers such that the sum of the first number squared and the second…

A: Let the numbers are x and y. x2 + y = 48 .................(1) y = 48 - x2   The product of two…

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

A: We have to choose correct option

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: Among all pairs of numbers whose sum is 24, find a pair whose product is as large as possible. What…

A: Let one number be = xAnother number be = yGiven that, their sum is 24.x+y = 24y = 24-x…

Q: 1. Find the dimensions of a rectangle with perimeter 1000 meters so that the area of the rectangle…

A: From the given problem:   Perimeter=P=1000 m   Let the length of the rectangle 'abcd' is 'X' and…

Q: Among all the pairs whose sum is 18, find a pair whose product is as larger as possible What is the…

A:

Q: 1. A rancher has 6100 feet of fencing with which to enclose three adjacent rectangular corrals (see…

A: A rectangle having dimension 3x and y.

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

A: let the smaller number be = x

Q: A farmer divides a rectangular piece of land into 8 equal-sized rectangular sheep pens as shown in…

A: there are 8 sheep pens, length of each pen is x and the width of each pen is y. the area of the…

Q: Among all pairs of numbers whose sum is 14, find a pairwhose product is as large as possible. What…

A: Let the numbers be x and y .Then, according to  given condition,x+y=14 for which xy is maximumFrom…

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.