Find two positive numbers with product 256 and whose sum is a minimum.

Q: Find two positive numbers such that the sum of the first number and four times the second number is…

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Q: 1) Of all numbers whose difference is 2, find the two numbers that have the minimum product. [HINT:…

A: Since solve the first question for you. If youwant any specific question to be solved then please…

Q: Of all numbers whose sum is 50, find the two that have the maximum product. That is, maximize Q =…

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Q: Find two positive numbers whose sum is 100 and the sum of whosesquares is a minimum.

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Q: What is the minimum

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Q: Find two positive numbers with product 400 and whose sum is a minimum. Enter your answers in…

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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 second number is the reciprocal of the first number and the sum is minimum. Find two positive…

A: Let us suppose x and y are two numbers and we want to minimize x+y

Q: 12. Of all numbers whose sum is 70, find the two that have the maximum product.

A: let x and y be two numbers whose sum is 70   we have to maximize  M=xy where x+y=70

Q: A wire of length 10 is to be cut into two pieces, one being bent to form a square and the other to…

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Q: A piece of 1m wire is cut into two parts, one bent into the shape of a circle and the other into the…

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Q: Find maximum and minimum value

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Q: What is the absolute minimum of p(x)=2x2 −x−2 over [−2,6]?

A: Obtain the derivative of the function as follows.

Q: Provide two positive numbers with a product of 169 and a sum which is a minimum.

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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 positive numbers with product 256 and whose sum is a minimum. Enter your answers in…

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Q: Find the absolute minimum value for on the interval [-1,1]

A: In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol…

Q: Find two positive numbers whose product is 100 and whose sum is a minimum. (This is optimization…

A: Let's assume two positive numbers are a and b Now, We know that for two positive numbers a+b2≥ab…

Q: Suppose the product of two numbers is 100; what is the minimum value of their sum?

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Q: Find the absolute maximum and absolute minimum values off on the given interval. Ax) = (x²-1)°,…

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Q: 11. Of all numbers whose sum is 50, find the two that have the maximum product.

A: Let x and y be the two numbers.then,x+y = 50 y = 50-x            ..........(1)Let P be their product…

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 the absolute extremd of the on the closed interval. 6x2 g(x) (-2, 1) X - 2 minimum (x, y)…

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Q: 13. Of all numbers whose difference is 6, find the two that have the minimum product.

A: Let x and y be such numbers. x-y=6 P=xy. Substitute x=6+y in P=xy and obtain that P=y6+y=6y+y2.

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 positive numbers with product 441 and whose sum is a minimum. Enter your answers in…

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Q: The product of two positive numbers is 400. Find these numbers such that their sum is minimum. Then,…

A: Let the two positive numbers are x and y Given that , product of two positive number is 400 So, xy…

Q: 19. A piece of wire of length 1 meter is cut into two parts, one of which is bent into the shape of…

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Q: Find two positive numbers whose product is 50 such that the sum of the first plus 2 times the second…

A: Given, Product of 2 positive number is 50  First number+2(second number)=S, is a minimum.

Q: find the minimum value of

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Q: 3. Find two positive read numbers such that the sum of the first number squared and the second…

A: Let the numbers are x and y. x2 + y = 48 .................(1) y = 48 - x2   The product of two…

Q: Of all numbers whose difference is 6, find the two that have the minimum product.

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

A: Given informationDifference of two no. is 20

Q: Determine two positive numbers whose product is 4 such that the sum of their squares is minimum.

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Q: Find three positive numbers x, y, and z whose sum is 21 and product is a maximum.

A: There are two different questions in the image. According to our guidelines, we can solve only one…

Q: Find the absolute meximum and absolul-e minimum of fcx) = X intereval [4,8] x- 48X Over the

A: From the given function; fx=x33+x2-48x First, we have to find the critical points; As we know that,…

Q: Find two numbers whose difference is 8 and whose product is a minimum.

A: Let x and y be the required numbers.  Given that the difference of the numbers is 8.

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: Use Lagrange multipliers to find three positive numbers whose sum is 230 and whose product is…

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Q: Of all numbers whose difference is 4, fınd the two that have the minimum product. x= y=

A: Given that  Difference of two number is 4 and we need to find the two numbers whose product is…

Q: maximum

A: if you specifically asking to how to find maximum and minimum value. Please refer to the image below…

Q: x and y are both positive numbers such that P=xy3. If the sum of both numbers is 24, determine x and…

A: given data p = xy3x+y =24

Q: Find two positive numbers such that their product is a maximum subject to the condition that the sum…

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Q: On the domain (0, o), find the minimum value of f(x) = D %3D

A: Given function

Q: Suppose the product of x and y is 49 and both x and y are positive. What is the minimum possible sum…

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Q: Determine where y = x4 - 8x2 has a local maximum or a local minimum.

A: we havefx=x4−8x2

Q: Let x and y be two positive numbers. If ry = 75 , find the minimum value of 3x +4y

A: The question mentions that, xy=75 Thus, y=75x Now, let the given function be, S=3x+4y…

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…