Among all pairs of numbers whose difference is 10, find a pair whose product is as small as possible. What is the minimum product? The pair of numbers whose difference is 10 and whose product is as small as possible is . (Use a comma to separate answers.) The minimum 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: A piece of wire 40 cm long is to be cut into two pieces . One piece wil bent to form a circle, the…

A: The total length of the wire is 40 cm and one piece is to be formed into a circle and another one is…

Q: Among all pairs of numbers (x,y)such that 4x+2y=24find the pair for which the sum of squares, x2 +…

A: Given equation,4x+2y=24we have to find values of x and y such that (x2+y2) is minimum

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: truck travelling west at 100km/h is 250km due east of a sports car going north at 120km/h.…

A: At t = 1.04 hour, they are closests to each other. Minimum distance between them is 192.07 km.

Q: Suppose you are fencing a rectangular region with one side along the river. Suppose that no fence is…

A: Given that: Area of the rectangular region = 338 m2

Q: Find two numbers whose difference is 100 and whose product is a minimum. (Show work).

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Q: 4. The bottom of the legs of a three-legged table are the vertices of an isosceles triangle with…

A: In the question 4 it is asked to calculate the minimum wire length required to make a brace of of…

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

A:

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: Among all pairs of numbers whose difference is 18, find a pair whose product is as small as…

A: Find the product minimum

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: Determine the minimum cost of a retailer of motorized bicycles whose cost function is C(q) = 4860/q+…

A: Here the given cost function is: C(q)=4860q+15q+750000

Q: 30 cm of wire is cut into 2 pieces. One piece is bent into a square, and the other piece is bent…

A: To find out the length of the two pieces.

Q: Among all pairs of numbers whose difference is 18, find a pair whose product is as small as…

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Q: Find the length and width of a rectangle that has an area of 1,152 square feet and whose perimeter…

A: Given:Area=1152 square feetFormula:Perimeter of rectangle=2l+wArea of rectangle=l×w

Q: A box is to be constructed from a sheet of cardboard that is 20 cm by 60 cm by cutting out squares…

A: Volume of the cuboid , V= (length)(Breadth)(height)

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: 5. Determine the linear inequalities shown by the shaded regions below:

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Q: Question What is the absolute minimum value of p(x) = 2x2 – x-2 over -2, 6]?

A:

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: This seems to be a multi variable question. I got the equations x+y+z=24 and w=x2+y2+z2

A: Lagrange’s multiplier is used to find maxima and minima of a function.We start by finding the…

Q: Among all pairs of numbers whose difference is 16, find a pair whose product is as small as…

A: The difference of two numbers is 16. We have to find a pair whose product is as small as possible.…

Q: 12:36 4) [20] The product of two positive numbers is 48. Find the two numbers if the sum of one…

A: Consider the two numbers such that their product is 48. Given that  the sum of one number and cube…

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A: Minimize

Q: Find the minimum and maximum values of y=x-9 x + 8 on the interval [-3, 1]

A:

Q: 11. What is the minimum product of two numbers whose difference is 18?

A: lets' numbers are x,x-18 where; x>x-18 so, productp of them will be p=xx-18=x2-18x now, product…

Q: Among all pairs of nonnegative numbers that add up to 5, find the pair that maximizes the product of…

A: Given :- Sum of two non negative numbers is 5 To find:- the pair that maximizes the product of the…

Q: Find the dimensions of a rectangle with an area of 36 square feet that has the minimum perimeter.…

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Q: 7) What is the minimum value? h(x) = x2 + 4x - 7 %3D

A: Given:- h(x)=x2+4x-7  To find:- minimum value of h(x)

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: 1. A 12-meter wire is cut into two pieces so that x meters will be used to form a circle and the…

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Q: Find the length and width (in feet) of a rectangle that has the given area and a minimum perimeter…

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Q: In an orchestra, 20 people can play stringed instruments, 18 can play brass, and 14 can play…

A: Consider the possible events to create the orchestra. A : People who plays stringed instruments. B :…

Q: 6. The sum of two numbers is k. Find the minimum value of the sum of their cubes.

A: Minimum value of the sum of their cubes is

Q: 4. A 12-meter string is cut into two pieces so that x meters will be used to form a circle and the…

A:

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: A wire 12 inches long is cut into two, one part is bent in the form of a circle, and the other into…

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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 wire 12 inches long is cut into two, one part is bent in the form of a circle, and the other into…

A: Given that, the length of the wire is 12 inches. Note that, the formula for area of the circle is…

Q: A wire 12 inches long is cut into two, one part is bent in the form of a circle, and the other into…

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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: 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: 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: The are of a rectangle is 100 cm2 and one of its sides is x cm. Find the minimum perimeter possible.

A: Let us consider a rectangle with length l unit, breadth b unit Then area of this rectangle= lb…

Q: A piece of wire 40 cm long is to be cut into two pieces. One piece will be bent to form a circle,…

A:

Q: Sketch the region that corresponds to the given inequalities, say whether the region is bounded or…

A: We have given the inequalities -                      -x - 2y &lt;= 8 We have to sketch the region…

Q: What is the minimum value of  g(x)=6x4-18x3-48 answer should be to 3 decimal places?

A: Derivative of the above function is,