A rectangle measuring 15 inches by 42 inches is to be made into a box with an open top by cutting equal size squares from each corner and folding up the sides. For what value of x will the volume be the 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: Find two numbers whose sum is 8 and the product of the square of the first number by the cube of the…

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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 nonnegative numbers whose sum is 9 and so that the product of one number and the square of…

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

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Q: product

A: We will solve the problem.

Q: Find three positive numbers whose sum is 310 and whose product is a maximum.

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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 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…

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 non-negative numbers whose sum is 59  and whose product is a minimum.

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Q: The sum of the squares of two nonnegative numbers is to be 4. How should they be chosen so that the…

A: Given that the sum of the squares of two nonnegative numbers is to be 4. Let the number be x and y…

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

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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: The number 72 is to be represented as the sum of two positive parts, such that the product of one of…

A: Let the two numbers be: x and y Therefore we have to maximize:  f(x, y)=x y3 subjected to…

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;

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

A: Let us consider one of the numbers to be x. So, the other number will be 15-x. Now, the function…

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: Find two numbers whose sum is 20 and whose product is a maximum

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

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Q: If the sum of two different positive numbers is twice your age, what is the maximum product of them?

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

A: Topic = Algebra

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

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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: An open-top box is to be made from a 40 in. by 27 in. piece of cardboard by removing a square from…

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

A: Given informationDifference of two no. is 20

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

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

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

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 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 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: What is the difference between the maximum and minimum of the quantity x2y2/87, where x and y are…

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Q: Find two numbers whose sum is 11 and whose product is a maximum.

A: Let x and y be the two numbersx+y =11y =11-xProduct is maximumTherefore, xy is maximumx(11-x) is…

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

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Q: A rectangular poster is to contain 648 square inches of paint. The margins at the top and bottom of…

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Q: Find three positive numbers whose sum is 400 and whose product is a maximum.

A: Let 3 numbers be x, y, z Sum of these numbers is 400 x+y+z = 400          z= 400-x-y Product = P(x,…

Q: The area of a paper that will be used to print a photo is 192 square inches. If a margin of 1 inch…

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

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Q: Find two numbers whose sum is 11 and product is a maximum?

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Q: A rectangular plot of farmland will be bounded on one side by a river and on the other sides by a…

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