The sum of one positive number and the square of another equals to 24. Choose the numbers so that their product is as large as possible. Enter the exact value of the product of the two numbers. The maximal value of the product is:

Q: A printer receives an order to produce a rectangular poster with a print area of 960 square inches…

A: A printer receives an order to produce a rectangular poster with a print area of 960 square inches…

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: Divide 120 into two parts so that product of one and the square of the other is maximum Find the…

A: Let the two parts be x and y.x+y = 120⇒ y = 120-x  --------------(1)  Maximize the product of "one…

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

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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: A piece of land is in the shape of a parallelogram whose altitude is one-third of its base. If the…

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Q: product

A: We will solve the problem.

Q: Divide 120 into parts so that the product of one and the square of the other is maximum, find the…

A: Consider the two numbers be 120-x and x. Consider the function fx be product of 120-x and x2.…

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

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Q: Use calculus to find two numbers whose product is -16 and such that the sum of the squares of the…

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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 two non negative integers whose sum is 25 and whose product with the square of the other number…

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Q: The product of two positive numbers is 16. Find the numbers if their sum is least.

A: Given the product of two positive numbers is 16

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: A large table for a conference room is to be constructed in the shape of a rectangle with two semi…

A: Solution :-A large table is constructedin the shape of rectangle with two semicircles at the endsThe…

Q: A 18-foot piece of siding is cut into three pieces so that the second piece is three times as long…

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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: 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: 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 real numbers x and y whose sum is 36 and whose product is as large as possible

A:

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

A:

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

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Q: The owner of a ranch has 2800 yards of fencing material with which to enclose a rectangular piece of…

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Q: Find two positive real numbers such that they sum to 108 and the product of the first times the…

A:

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: he sum of one positive number and the square of another equals to 24. Choose the numbers so that…

A: Let one positive number =x   another number is =y   ⇒ According to question          x+y2 =24→…

Q: 2) Find the length of the legs of a right triangle whose hypotenuse is 26 cm and whose area is 120…

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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: 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: Find two numbers whose sum is "a", if the product of one to the square of the other is to be a…

A: sum of two numbers is 'a', the product of one to the square of the other is to be maximum

Q: The product of two positive numbers is 363. Minimize the sum of the first and three times the…

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Q: A rectangular piece of sheet metal is 5 inches  shorter than it is wide. From each corner, a 0.5 x…

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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: A rectangle whose width is less than its length by 3 and its area is 4, then its length is

A: Please refer the attached image for complete solution.

Q: The circumference of the circle and the perimeter of the rectangle are equal such that the length of…

A: The circumference of the circle and the perimeter of the rectangle are equal such that the length of…

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 two positive real numbers whose product is a maximum. The sum of the first and three times the…

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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 diagonal of a rectangle is 2 inches greater than its length and 9 inches greater than its width.…

A: Given: The diagonal of a rectangle is 2 inches greater than its length and 9 inches greater than its…

Q: Divide the number 120 into two parts such that the product of one part and the square of the other…

A: To divide the number 120 into two parts such that the product of one part and the square of the…

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: Find two positive real numbers whose product is a maximum. The sum of the first and three times the…

A: Here, we need to find two positive real numbers whose product is a maximum. The sum of the first and…

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

A:

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

A: Let x and y be two non- negative numbers whose sum is 36.That is

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Q: Find a non-negative number whose difference from its square is a maximum.

A: non-negative number whose difference from its square is a maximum.  Let the no is x

Q: Find two numbers whose sum is 12 and the product of the square of the first number by the cube of…

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

A: