Find two numbers whose difference is 166 and whose product is a 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 two numbers hose product is 100 and whose sum is minimum.

A:

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: Find two positive numbers whose product is 100 and whose sum is a minimum.

A: Suppose numbers are x and y then  xy=100    ....(1)

Q: product

A: We will solve the problem.

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.

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: The difference of two numbers is 22. Find the numbers so that their product is to be minimum.

A: Numbers

Q: Among all pairs of numbers whose difference is 16, find a pair whose product is as small as…

A:

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

A:

Q: Find two numbers whose sum is a if the product of the square of one by the cube of the other is to…

A: Consider the first number be 'x'. The second number be 'y'. The sum of the numbers is given by a.…

Q: ........ Find two positive numbers whose product is 49 and whose sum is a minimum. (Enter your…

A: Given,                  Two positive numbers whose product is 49  and whose sum is minimum

Q: Find two numbers whose difference is 170 and whose product is a minimum.

A:

Q: 2. Find the length and width of a rectangle that has an area of 800 square feet and whose perimeter…

A:

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: Find two numbers whose difference is 118 and whose product is a minimum;

A:

Q: Find two numbers with difference 138 and whose product is a minimum. Enter your answers in…

A: SOLUTION-

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 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

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: A 12-meter string is cut into two pieces so that x meters will be used to form a circle and the…

A: Here we can note the following  (a) Area of an equilateral triangle with side a = 34a2 Area of a…

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…

Q: The sum of a number x and three times the square of a positive number y is 36. Find the maximum…

A:

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: 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 two numbers with difference 82 and whose product is a minimum. Enter your answers in increasing…

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 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.

Q: Suppose two numbers add up to 20. What is the maximum value of their product?

A: Given that: Two numbers add up to 20.

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

A:

Q: among all pairs of numbers whose difference is 20, find a pair whose product is as small as…

A:

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 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: Find two positive numbers whose product is 36 and whose sum is a minimum. (smaller number) (larger…

A: Our Aim is to find two positive numbers whose product is 36 and whose sum is a minimum.Let 'x'…

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

A:

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: Find two positive numbers whose sum is 9 and the product of one number and the square of the other…

A:

Q: Find two numbers with difference 110 and whose product is a minimum. Enter your answers in…

A: The objective is to find two numbers whose difference 110 and whose product is a minimum.

Q: The difference of two numbers is 18. What are numbers so that their product is a minimum?

A: The difference of two numbers is 18. Find the numbers such that their product is a minimum.   x-y =…

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…