Find two positive numbers whose sum is 14 and the sum of whose squares is minimum

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

A: We have to find number

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

A:

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

A:

Q: Find the two positive numbers, whose product is 100 and sum is maximum.

A: We have to find the two positive numbers, whose product is 100 and sum is maximum.

Q: Find three positive numbers whose sum is 36 and such that the sum of their squares is as small as…

A: Solution is given below:

Q: product

A: We will solve the problem.

Q: Find two positive real numbers such that the sum of the first number squared and the second number…

A:

Q: Find two numbers whose sum is 60, such that the sum of the square of one number plus twelve times…

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

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: 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

Q: Find two positive numbers with product 256 and whose sum is a minimum. Enter your answers in…

A:

Q: Find the minimum sum of two positive numbers (not necessarily integers) whose product is 200.

A:

Q: Find two positive numbers whose product is 100 and whose sum is a minimum. (This is optimization…

A: Let's assume two positive numbers are a and b Now, We know that for two positive numbers a+b2≥ab…

Q: Find two positive numbers such that the sum of twice the first number and three times the second…

A: Let one number be 'x' and other number be 'y'.  Given that sum of twice of one number and thrice of…

Q: Find two positive numbers with product 484 and whose sum is a minimum. Enter your answers in…

A:

Q: Find two positive numbers such that the sum of the first plus 7 times the second is 2,800 and their…

A: here also given that product is maximum. let; The first number is =x and second number= y According…

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 numbers whose sum is 15, if the product of the square of one by the cube of the other is to…

A: We have to fine two numbers for given conditions.

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: Find two positive numbers such that the sum of twice the first number and three times the second…

A:

Q: A rectangle with length L and width W is cut into four smaller rectangles by two lines parallel to…

A:

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

A:

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

A:

Q: 2. Find two positive numbers whose product is 750 and for which the sum of one and 10 times the…

A:

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

A: According to our guidelines In case of multiple questions we are supposed to answer the first…

Q: Find two numbers whose difference is 6 such that the sum of their squares is a minimum.

A:

Q: Find two numbers whose sum is 50 such that the square of one number plus six times the other number…

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

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

A:

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

A: Given informationDifference of two no. is 20

Q: Find two positive numbers whose product is 192 and the sum of the first and three times the second…

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

Q: Find two numbers such that the sum of the first and twice the second is 56 and whose product is…

A: Sum of the first and twice the second is 56.

Q: The sum of two positive integers is 25. What is the minimum sum of their squares ?​

A: Given that, the sum of two positive integers is 25. Let x and y be the two positive numbers whose…

Q: Find two positive numbers whose product is 45 and for which the sum of one number and 6 times the…

A:

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: The sum of three positive numbers is 30, find the three numbers if their product is minimum?

A:

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:…

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 two positive numbers whose product is a maximum and the sum of one is five times the other…

A:

Q: 4. Find two positive numbers whose product is 750 and for which the sum of one and 10 times the…

A: For minimum , second derivative of the function should  be positive.

Q: Find two numbers whose difference is 42 and whose product is a minimum. Step 1 If two numbers have a…

A:

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

A:

Q: Find two positive numbers such that the sum of the first and twice the second is 72 and whose…

A: Given the two positive numbers such that the sum of the first and twice the second is 72

Q: Find two positive numbers such that the sum of the first and twice the second is 96 and whose…

A: Let the first number be "x" and the second number be "y". The sum of the first and twice the second…

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

A:

Q: Find two positive real numbers whose sum is 40 and whose product is a maximum.

A: A function f(x) is said to have a maximum value at a point c when the first derivative of the…

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: 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: Find three positive numbers whose sum is 400 and whose product is a maximum. Answer (separate by…

A: Let the three numbers be x, y, z. The sum of numbers = 400. Therefore, x+y+z= 400.…