Find two numbers whose difference is 236 and whose product is a minimum. Also, justify why the numbers you found is indeed a minimum as opposed to a maximum.

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 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: A company making luggages have these requirements to follow. The length is 15 inches greater than…

A: According to question,Length is 15 inches greater than depth and the sum of length, width and depth…

Q: product

A: We will solve the problem.

Q: In your own words, describe the guidelines for solving applied minimum and maximum problems.

A: We have to describe the guidelines for solving applied minimum and maximum problems.

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

A: Numbers

Q: A rectangular hole is to be cut in a wall for a vent. If the perimeter of the hole is 104 in. and…

A: Let, Length = L inches. Width = W inches. Given that the perimeter = 104 inches. That means:…

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

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

A:

Q: manufacturer estimates that the cost (C) of production of (x) units of a certain item is ? = 40? −…

A: Given query is to find the production level for minimum cost.

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

A:

Q: The difference between two numbers is 100. Find the two numbers if their product is a minimum.

A: We have to find the product of two numbers whose difference is 100.

Q: The longest side of a triangle is 3 times the shortest side and the third side is 2 cm shorter than…

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

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

A:

Q: A piece of wire 40 cm long is to be cut into two pieces. One piece will be bent to form a circle,…

A:

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

A:

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

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 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: What are two numbers whose sum equals to 23, and whose product is a maximum

A: Let the two numbers be x and y.

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.