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

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A: This question is based on application of derivative.

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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: 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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A: To find the dimension of triangle.

Q: product

A: We will solve the problem.

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A: Let the two numbers are x and y. Sum of two numbers is 60. x+y=60                                ⋯1…

Q: Find two numbers whose sum is 20, if the product of one by the cube of another is to be the maximum.

A: For stationary value of a function y = f(x),   y' = f'(x) = 0  A function y = f(x)  is said to have…

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

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

A: Explanation of the answer is as follows

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A:

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

A:

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 118 and whose product is a minimum;

A:

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: 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: The perimeter of a rectangle is to be no greater than 80 centimeters and the width must be 10…

A: let length be x and width is given to be 10. Perimeter of a rectangle is defined as 2(length +…

Q: the sum of two positive integers is 24. Find the number if the sum of their squares is a minimum

A: Given- The sum of two positive integers is 24.  To find- The number if the sum of their squares is a…

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Q: Find two numbers whose difference is 166 and whose product is a minimum.

A: Topic = Algebra

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A: Given: Flat cost per month = $66 Cost per gigabyte(or part of gigabyte) = $5       To determine: The…

Q: determine two numbers which have a difference of 7 and product which is a minimum

A: Let the two numbers be x and y. It is given that, the two numbers have a difference of 7. That is,…

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

A:

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

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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A: Let 'x' be the one number and the other number is (50-x).

Q: Find two numbers whose difference is 20 and whose product is a minimum.

A: Given informationDifference of two no. is 20

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A: Let us consider the function f(x)  To maximize the function  Differentiate the function with…

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A: Suppose two positive numbers are  x and y The product of numbers are 192 therefore, xy=192 ⇒y=192x…

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A: Let the shortest side= x cm  so the longest side= 3x cm  third side= 3x-2 cm

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…

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A: Given: cost price of pizza=$5.40, profit earn by manager=$4.80 We know that selling priceS.P. of…

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.

Q: The sum of the perimeters of an equilateral triangle and a square is 10. Find the dimensions of the…

A: Given , The sum of the perimeters of an equilateral triangle and a square is 10.

Q: . Find two numbers whose product is 64, and whose sum is a minimum. 2. The sum of two numbers is…

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Q: Find two numbers whose difference is 154 and whose product is a minimum.

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Q: . The sum of two numbers is b, what is the minimum value for the sum of their cubes?

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Q: The perimeter of a rectangle is to be no greater than 100 centimeters and the width must be 15…

A: Perimeter of rectangle = 2 ( length + width)  Given width = 15 cm  and  perimeter of a rectangle…

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.

A:

Q: Find two numbers whose sum is 10. and the sum of whose squares is minimum 3, 7 4, 6 5, 5 2, 8

A: Let first number is x and second number is 10-x for finding minimum then take it's derivative equal…

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

A:

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…

Q: The sum of the perimeters of an equilateral triangle and a square is 23. Find the dimensions of the…

A: Let x be the side of equilateral triangle and y be side of square . Then respective perimeters are…