2. The sum of two numbers is 12. Find the two numbers if the sum of their squares is to be a maximum.

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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: Can you please answer this question and show the steps

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

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

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Q: 1. The sum of two numbers is 12. What are these numbers if the product of the first and the cube of…

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

A: Solution:

Q: x +y + 2z=1 2x-y-z = 0 x +2y-z = 4

A: Follow the steps below.

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

A: The sum of the two numbers is 4 To evaluate: The minimum value of the sum of their cubes.

Q: What are two positive numbers with a product of 250 where the sum of the first and four times the…

A: Let the positive numbers are x and y.Given that the product of them is = 250So, xy=250or, y=250x

Q: 23. Find two numbers whose sum is 10 and the sum of their squares is a minimum.

A: Let the two numbers be  x and yx+y=10⇒y=10-xx2+y2=SS=x2+10-x2   =x2+x2-20x+100   =2x2-20x+100

Q: Find two numbers whose sum is 10, and the sum of whose square is minimum.

A:

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A: Application of derivative

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: 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: 1. The sum of two positive number is 42. What are these numbers if their product is a maximum?

A: As per our guidelines we can help you in solving only first question. Rest of the problems, you have…

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A:

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: 1. The sum of two numbers is 21. If the product of one of the numbers by the square of the other is…

A: Since you have posted multiple questions I can do first question as per our company guidelines…

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A: Let the number be x.

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

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Q: A company makes two types of biscuits: Jumbo and Regular. The oven can cook at most 200 biscuits per…

A: Let's find.

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…