Provide two positive numbers with a product of 169 and a sum which is a 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: Find two positive numbers such that the sum of the first number and four times the second number is…

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Q: Find two numbers hose product is 100 and whose sum is minimum.

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Q: Find two positive numbers whose product is 36 and whose sum is a minimum. (If both values are the…

A: let the two numbers be x and y so  x×y=36sum=x+y since         xy=36⇒y=36x Substitute y value in sum…

Q: Can you please answer this question and show the steps

A: Given: The two numbers whose difference is 236 and whose product is minimum.

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: What is the minimum

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Q: Find two positive numbers with product 400 and whose sum is a minimum. Enter your answers in…

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Q: Find two positive numbers whose product is 36 and whose sum is a minimum. You must use optimization.

A: Given data is: The product of two positive numbers is 36. To find the two positive numbers whose sum…

Q: Provide 3 examples of the application of derivates (minimum and maximum values).

A: It is a derivative problem

Q: A wire of length 10 is to be cut into two pieces, one being bent to form a square and the other to…

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Q: A piece of 1m wire is cut into two parts, one bent into the shape of a circle and the other into the…

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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: Suppose you have a 2.5 grade point average in 3 courses. What is the minimum average you can have in…

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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 positive numbers whose product is 25 and whose sum is a minimum. (If both values are the…

A: Given: Two number whose product is 25.

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: Suppose the product of two numbers is 100; what is the minimum value of their sum?

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Q: Find two positive numbers with product 361 and whose sum is a minimum. Enter your answers in…

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Q: Find two positive numbers whose product is 49 and whose sum is a minimum. (If both values are the…

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Q: 13. Of all numbers whose difference is 6, find the two that have the minimum product.

A: Let x and y be such numbers. x-y=6 P=xy. Substitute x=6+y in P=xy and obtain that P=y6+y=6y+y2.

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

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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 positive numbers with product 441 and whose sum is a minimum. Enter your answers in…

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Q: The product of two positive numbers is 400. Find these numbers such that their sum is minimum. Then,…

A: Let the two positive numbers are x and y Given that , product of two positive number is 400 So, xy…

Q: Suppose you have a 2.5 grade point average in 3 courses. What is the minimum average you can have in…

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Q: A wire of length L is cut into pieces, one being bent to form a square and the other form an…

A: Assuming that the wire is cut in 2 pieces of length x and L-x where the first is used to make a…

Q: A rectangular piece of paper has 28 square inches of print in it. If its top and bottom margins were…

A: Figure ( using given information ):

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: 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: 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: Of all numbers whose difference is 6, find the two that have the minimum product.

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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: 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 of length L is cut into pieces, one being bent to form a square and the other o form an…

A: Given problem is :

Q: Find two positive numbers whose product is 64 and whose sum is a minimum. (If both values are the…

A: first we find factors of 64 2   64 2   32 2   16 2    8 2    4  2    2  1 therefore  64= 2 x32 and…

Q: Find the number whose sum with its reciprocal is a minimum.

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Q: what is the minimum value of y=–8+2cos4x?

A: Given, y = –8 + 2cos4x  We have to find the minimum value of  y = –8 + 2cos4x   When we have the…

Q: Find three positive numbers x, y, and - whose sum is 15 and product is a maximum.

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Q: Of all numbers whose difference is 4, fınd the two that have the minimum product. x= y=

A: Given that  Difference of two number is 4 and we need to find the two numbers whose product is…

Q: maximum

A: if you specifically asking to how to find maximum and minimum value. Please refer to the image below…

Q: Find two positive numbers such that their product is a maximum subject to the condition that the sum…

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Q: On the domain (0, o), find the minimum value of f(x) = D %3D

A: Given function

Q: Find a pair of non-negative numbers that have a product of 162 and minimize the sum of two times the…

A: Let the numbers be x,y. Given  x·y=162y=162x The function to be minimized will be Fx=2x+y…

Q: Suppose the product of x and y is 49 and both x and y are positive. What is the minimum possible sum…

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