Find two positive numbers whose sum equals 100 and who maximize the square root of their product. X = y =

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, x and y, whose sum is 100 and whose product is as large as possible.

A: Let the two positive numbers are x and y. Now, Their sum is 100. That is,          x+y=100⇒y=100-x

Q: If the product is launched he will have to incur a fixed cost of · would give him a profit of…

A: Here use given distribution of no of bottles sold for expected sell

Q: Find three positive numbers whose sum is 300 and whose product is a maximum.

A: Let x ,y,z are 3 positive numbers such that x+y+z = 300 and xyz is maximumThe problem formed…

Q: A drinking straw of length 21cm is cut into 3 pieces. The length of the first piece is x cm. The…

A: A drinking straw of length 21cm is cut into 3 pieces. The length of the first piece is =(x) cm. The…

Q: Find the two positive numbers, whose product is 100 and sum is maximum.

A: We have to find the two positive numbers, whose product is 100 and sum is maximum.

Q: Find three positive numbers whose sum is 36 and such that the sum of their squares is as small as…

A: Solution is given below:

Q: Find two positive numbers x and y whose product is maximum and 2x + y = 100.

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: product

A: We will solve the problem.

Q: f(x) 0.5

A: It is an important part of statistics. It is widely used.

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

A:

Q: Find two positive numbers whose sum is 14 and the sum of whose squares is minimum

A:

Q: Find three positive numbers whose sum is 100 and whose product is a maximum.

A:

Q: Find a positive number for which the sum of its reciprocal and four times its square is the least.

A: Let x be a number. According to question

Q: A manufacturer designs and sells each of the radios it produces for 75 soles. If x daily radii, then…

A: Since, the amount of the total daily cost of production is given by:-C(x)=x2+25x+96  -(i)Price of…

Q: Suppose that the daily cost C of manufacturing bicycles is given by C(x) = 80x + 5000. Then the…

A: Given : The daily cost C of manufacturing bicycles is given by C(x) = 80x + 5000. Then the average…

Q: 2. Find two numbers whose sum is 50 and whose product is a maximum.

A:

Q: The product of two consecutive interference is 13 less than five times their sum. Find the…

A: Consider the two consecutive integers as x and x + 1.Then, the sum and the product of the two…

Q: The product of two positive real numbers, x and y , is 30 . Determine the y value which…

A: Given product of two positive real number x and y is 30. ⇒xy=30 Let fx,y=x+4y And gx,y=xy−30=0 Use…

Q: Find two positive numbers such that the sum of the first plus 7 times the second is 2,800 and their…

A: here also given that product is maximum. let; The first number is =x and second number= y According…

Q: Q1. The sum of three positive numbers is 30, find the three numbers if their product is minimum?

A: Topic- Number System

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A:

Q: Find two positive numbers whose sum is 12 so that the product of the square of one and 4th power of…

A:

Q: Find two numbers whose sum is 9 if the product of one by the square of the other is a maximum

A: Explanation of the answer is as follows

Q: Find two positive numbers the sum of which is 100, and the square of one number times twice the cube…

A: Use the given statement mathematically then solve by making the function and make derivative of that…

Q: Find three positive numbers whose sum is 90 and whose product is a maximum.

A: Second derivative test: For critical points, fx=0 fy=0 A function f(x,y) has a local maximum value…

Q: Find two consecutive positives even interfere such the sum of their squares is 52?

A:

Q: Find two positive numbers whose sum is 100 and whose product as largest 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 three positive numbers whose sum is 3 and whose product is a maximum.

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: Find two positive numbers, x and y, whose product is 100 and whose sum is as small as possible.

A: Suppose x and y be the positive numbers whose product is 100 So, xy=100 Then, y=100x…

Q: Find two positive integers such that their sum is 10, and minimize the sum of squares.

A: Given  two positive integers such that their sum is 10, To minimize the sum of squares

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: Find the dimensions of the rectangle that'll give the max rectangle area, of perimeter of entire…

A: The perimeter of the entire figure is 12 feet.

Q: D = -x' + 3 at x = 1. % =

A:

Q: Find a positive number for which the sum of its reciprocal and four times its square is the smallest…

A: 1. Let x be the positive number then according to question - S=1x+4x2 and we need to minimize this…

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

A:

Q: Find the two consecutive positive integers such that the square of the first is decreased by 17…

A:

Q: Find two positive numbers x and y , whose product is 900 and whose sum is as small as possible

A:

Q: The difference of two real numbers is d, where d is a fixed number. What two numbers will minimize…

A: Let the real numbers are x and y Given that y-x=d or y=x+d Product of them=P=xy=x(x+d)=x2+dx

Q: The sum of two positive numbers is 16. What is the smallestpossible value of the sum of their…

A: Given, The sum of two positive numbers is 16. Suppose these two positive numbers are x and y The sum…

Q: The product of two positive numbers is 588. The sum of the first and three times the second is…

A: It  is application of derivative

Q: Find a positive number for which the sum of its reciprocal and four times its square is the smallest…

A: Use 1 st derivatives ro find critical points and check its minimum or maximum using double…

Q: Find the three positive numbers whose product is 27 such that their sum is as small as possible.

A:

Q: Find two positive numbers whose sum is 32 and the sum of their square roots is maximum.

A:

Q: Suppose x and y are positive integers such that the sum of x^2 and y is 10x. Find the values of x…

A: Given x^2+y=10x.From there find 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…