Among all pairs whose difference is 16, find a pair whose product is as small as possible. What is the minimum product and what is the pair?

Q: The sum of two numbers is 5. Find the minimum value of the sum of their cubes.

A: Let the first number be x. Let the other number be y.   Thus, x+y=5y=5-x   The sum of the cubes of…

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: Find the two positive integers whose sum is 16 and the sum of whose square is minimum

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

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

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Q: 2. What is the minimum product of two numbers that differ by 15? What are the two numbers?

A: Let one number be x and another number be x+15 So their product=x(x+15)=x2 + 15x =f(x) (say)

Q: Find two positive numbers whose sum is 100 and the sum of whosesquares is a minimum.

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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: Among all pairs of numbers whose difference is 10, find a pair whose product is as small as…

A: Let the two numbers are x and yGiven that x-y=10-1Let fx,y=x.yFx,y=fx,y+≺.∅x,ywhere ∅x,y=x-y-10

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: A rectangular hole is to be cut in a wall for a vent. If the perimeter of the hole is 104 in. and…

A: Let, Length = L inches. Width = W inches. Given that the perimeter = 104 inches. That means:…

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

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

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Q: Find two numbers with difference 90 and whose product is a minimum

A: Solution: The objective is to find the two numbers with the difference 90 and whose product is a…

Q: 3. If the sum of two numbers is C, find the minimum value of the sum of their squares.

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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: Find two numbers whose sum is 10, and the sum of whose squares is a minimum. Please put the…

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Q: What is the maximum product of two numbers whose sum is 9 ​? What numbers yield this​ product?

A: The sum of two numbers is 9.

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

A: Let the numbers are x, y then Given as x-y=14

Q: Find two numbers whose difference is 118 and whose product is a minimum;

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Q: Find two numbers with difference 138 and whose product is a minimum. Enter your answers in…

A: SOLUTION-

Q: Among all pairs of numbers whose difference is 10, find a pair whose product is as small as…

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Q: Find two positive numbers whose product is 18 and for which the sum of one and 2 times the other is…

A: It is given that the product of two positive number is 18 Let the first number will be x and second…

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: Find two numbers whose difference is 72 and whose product is a minimum. Step 1 If two numbers have a…

A: Let, x represent the smaller number. y represent the larger number Then y - x = 72 y = 72 + x

Q: Find two numbers with difference 138 and whose product is a minimum. Enter your answers in…

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Q: What is the minimum product of two numbers that differ by 15? What are the two numbers?

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

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

A: Here we can note the following  (a) Area of an equilateral triangle with side a = 34a2 Area of a…

Q: Among all pairs of numbers whose difference is 24, find a pair whose product is as small as…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: find the minimum value of

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

A: Answer and explanation is given below...

Q: Among all pairs of numbers whose difference is 8, find a pair whose product is as small as possible.…

A: We have to find minimum product where difference of pair of numbers is 8. Let pair of numbers are x…

Q: Find the length and width of a rectangle with an area of 32 square feet with a minimum perimeter

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Q: among all pairs of numbers whose difference is 20, find a pair whose product is as small as…

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Q: The perimeter of a rectangle is to be no less than 72 centimeters and the width must be 17…

A: In the question we have to find minimum length of the rectangle.

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

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

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Q: Find two positive numbers whose product is 36 and whose sum is a minimum. (smaller number) (larger…

A: Our Aim is to find two positive numbers whose product is 36 and whose sum is a minimum.Let 'x'…

Q: Find two positive numbers whose product is 36 and whose sum is a minimum.

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Q: Find three numbers whose sum is 9 and whose sum of squares is a minimum.

A: Construct a system for optimization using the information that, the three numbers whose sum is 9 and…

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: Find two numbers with difference 110 and whose product is a minimum. Enter your answers in…

A: The objective is to find two numbers whose difference 110 and whose product is a minimum.

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

A: Sum is 20 and product is maximum.

Q: Find two numbers whose difference is 166 and whose product is a minimum. Step 1 If two numbers have…

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Q: The difference of two numbers is 18. What are numbers so that their product is a minimum?

A: The difference of two numbers is 18. Find the numbers such that their product is a minimum.   x-y =…

Q: Among all pairs of numbers whose sum is 10​, find a pair whose product is as large as possible. What…

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