Find three numbers whose sum is 9 and whose sum of squares is a minimum. The three numbers are.

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A: topic - application of derivatives

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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…

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Q: Find two real numbers whose difference is 40 and whose product is a minimum.

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A: The sum of two numbers is 6. Find the minimum value of the sum of their squares.

Q: Find two numbers whose difference is 100 and whose product is a minimum.

A: Find two numbers whose difference is 100 and whose product is a minimum

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Q: 1. Find two numbers whose sum is 9 if the product of one by the square of the other is a maximum.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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

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Q: If the sum of two numbers is 4, find the minimum value of the sum of their cubes. A None of the…

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Q: The product of two numbers is 24. Find the numbers if (a) the sum of the two numbers is minimum, (b)…

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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: Find two numbers whose sum is 36 if the sum of their squares is to be a minimum.

A: Let, The first number be x. As the sum is 36. Therefore, The second number is 36 - x.

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Q: Find two numbers whose difference is 8 and whose product is a minimum.

A: Let x and y be the required numbers.  Given that the difference of the numbers is 8.

Q: Find two numbers whose difference is 100 and whose product is a minimum

A: To find the two numbers whose difference is 100 and whose product is a minimum Given information:…

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A: consider an arbitrary point on line  2x+y=100 is   x , 100-2x which is the one of the vertex of the…

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: The sum of two positive numbers is 10. Find these numbers if the sum of their squares is a minimum

A: Given: The sum of two positive numbers is 10.

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Q: If the sum of two numbers is C, find the minimum value of the sum of their squares. A) c2/6 c2/ 4…

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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: 12. The sum of two numbers is 40. Find the numbers if the sum of their squares is a minimum.

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Q: If the sum of two numbers is 4, find the minimum value of the sum of their cubes. (А) 15 в) 13 c) 16…

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Q: Which of the following equivalent forms of the equation y -4x-12x-7 can best be used to find the…

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Q: Find two positive numbers whose product is 2 and the sum of one number and the square of the other…

A: Let x and y be the required numbers. Given that the product of two numbers is 2. That is, Now…