The sum of two numbers is 120. Find the numbers so that the product of the first number and the square of the other is a maximum.

Q: The sum of two numbers is 8. The product of the first number and the square of the second number is…

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Q: Find two positive numbers that satisfy the given requirements.

A: Let the numbers be x and y,Their product is 147,xy = 147y = 147x              .........(1)given that…

Q: The sum of the first and twice the second is 360 and the product is a maximum.

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Q: The sum of two numbers is b. If the product of one number and the other number raised to four is to…

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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 three real numbers whose sum is 9 and the sum of whose squares is as small as possible.

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Q: The sum of two numbers is 1.  What is the smallest possible value of the sum of their squares?

A: Let x be one number, Then other number is 1-x

Q: The product of two consecutive odd integers is 22 less than the square of the greater integer. Find…

A: Given information: The product of two consecutive odd integers is 22 less than the square of the…

Q: The sum of two nonnegative numbers is 36. Find the numbers if the difference of their square roots…

A: Given: The sum of two non-negative numbers is 36

Q: The sum of the first and twice the second is 24.Find two positive real numbers whose product is a…

A: given,       The sum of the first and twice the second is 24

Q: The length of a rectangle is 5 cm less than twice the width. Express as an integer the maximum width…

A: here, objective is to find the maximum width of the rectangle for which perimeter is less than 84c.m

Q: The sum of the first and three times the second is 42.Find two positive real numbers whose product…

A: This question is taken from the application of derivative in which we have to find the two positive…

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

A: This question is about sum and product of 2 numbers & to find maximum.

Q: . The sum of two numbers is 21. If the product of one of the numbers by the square of the other is…

A: Given that sum of two numbers is 21. and the product of one of the numbers by the square of the…

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: The sum of two numbers is 12. if one number is x, what is the value of x such that the product of…

A: Here, let the two numbers be: x & y Then, x+y=12⇒y=12-x Now, the product of the two numbers be:…

Q: The sum of the squares of two consecutive natural numbers is 313 . Find the numbers

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Q: Twice the smallest of three consecutive odd integers is five more than the largest integers.

A: Given that:-There are three consecutive odd integers.Twice the smallest integer is five more than…

Q: Find the maximum product of two positive numbers with the sum of 300.

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Q: One side of a triangle is three times as long as another side, and the third side is 12 inches long.…

A: Let the length of the shortest side of triangle be x inches. given that One side of a triangle is…

Q: The sum of two positive numbers is 20. Find the product of the two numbers if the sum of their…

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Q: The sum of two nonnegative numbers is 36. Find the numbers if the sum of their square roots is to be…

A: The sum of two nonnegative numbers is 36. To find the numbers if the sum of their square roots is to…

Q: The sum of two positive numbers is 20. Find the product of the two numbers if the sum of their…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

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

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Q: The sum of the bases and altitude of a trapezoid is 36 inches and one base is 6 inches longer than…

A: Here we use the application of derivative.

Q: The sum of two numbers is 10. Find the maximum product of the first number and the second number.

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Q: The sum of two positive numbers is 24. The product of one and the square of the other is maximum.…

A: Here given that

Q: A rectangle is three times as long as it is wide and has the same perimeter as a square whose area…

A: This is s language problem

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: 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 area of a rectangle is 28 m² and the length of the rectangle is 5 m less than three times the…

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Q: The sum of two numbers is 8. The product of the first number and the square of the second number is…

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Q: why can’t the sum of two numbers never be zero?

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Q: The sum of two positive numbers is 20. Find the product of the two numbers if the sum of their…

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Q: 7. The sum of the first number and twice the second number is 108 and the product is a maximum. Find…

A: Find your answer below

Q: The sum of two nonnegative numbers is 20. Find the numbers if one number plus the square root of the…

A: according to given problem x+y=20x+y=b

Q: The product of two positive numbers is 16. Find the numbers if: (a) their sum is least; (b) the…

A: The product of the two unknown numbers is given to be 16. In the first part the sum of the two…

Q: The sum of two positive numbers is 18. What is the smallest possible value of the sum of their…

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Q: The sum of two numbers is k. What are the numbers if the product of the first by the cube of the…

A: Let two numbers be x, y Sum of the two numbers is given as k Therefore, x+y=k ...(1) Now, it's given…

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 42 and whose product is a minimum. Step 1 If two numbers have a…

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Q: 2. The sum of two numbers is 12. Find the two numbers if the sum of their squares is to be a…

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Q: The sum of one number and three times the second number is 48. What will be the maximum product of…

A: Given that the the sum of one number and three times the second numberis 48.Our Aim is to find the…

Q: The sum of two numbers is 21. If the product of one of the numbers by the square of the other is to…

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Q: The length of a rectangular pool is to be 2 times its width, and a sidewalk 4 feet wide will…

A: Let l and w be the length and width of rectangular poolas shown in figure.Total area, A=1050 ft2

Q: Anna has 252M of fencing to be used to fence a two separate lots ,one square and the other a…

A: There seems to be some mistake since, the given constraint will minimize the area. Let the side…

Q: The sum of one number and three times the second  number is 48. What numbers should be selected so…

A: Given the sum of one number and three times of the second number is 48. Let the number is x then the…

Q: The sum of two numbers is 26 . Find them if the product is to be maximum

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