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

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

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Q: Hagrid now wants to make a contraption that will be used to feed his animals. He needs touseawire…

A: Let x m was used for the circle and (10-x) m was used for the square. Let the radius of the circle =…

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: 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: Among all pairs of numbers whose difference is 10, find a pair whose product is as small as…

A: Let the two numbers are x and yGiven that x-y=10-1Let fx,y=x.yFx,y=fx,y+≺.∅x,ywhere ∅x,y=x-y-10

Q: Suppose that x and y are two positive numbers, and suppose that r+ 2y = 30. Find the maximum value…

A: Given that: x+2y=30…

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

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Q: Among all pairs of numbers whose difference is 16, find a pair whose product is as small as…

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

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Q: 1. Find two positive numbers whose product is 100 and whose sum is a minimum.

A: Let the numbers are x and y.   It is known that to minimize a function we have to equate the first…

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: Suppose that f(x, y) = 3xª + 3yª – 2xy Then the minimum is

A:

Q: Suppose that f(x, y) = 3x* + 3yª – 2ry Then the minimum is

A: Given, f(x,y)=3x4+3y4-2xy

Q: Find the local minimum value of f(r, y) = 4 + x7 + y7 – 7ry.

A: We have to find the local minimum of the function f(x,y).

Q: If 2x +y= 10, find the minimum value of x+ y2

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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 x and y that minimize the product xy, and satisfyx + 4y = 120.

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Q: Suppose that f(x, y) 3x + 3y* 2xy Then the minimum value of f is

A: We have to solve given problem:

Q: Among all pairs of numbers whose difference is 14, find a pair whose product is as small as…

A: Let the numbers are x, y then Given as x-y=14

Q: Find two positive numbers x and y that maximize Q = x2y if x + y = 2.

A: Given function - Q = x2y               ...........(1)And,x+y = 2y = 2-x…

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

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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: 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: A wire of length L is cut into pieces, one being bent to form a square and the other form an…

A: Assuming that the wire is cut in 2 pieces of length x and L-x where the first is used to make a…

Q: A rectangular piece of paper has 28 square inches of print in it. If its top and bottom margins were…

A: Figure ( using given information ):

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 two numbers whose sum is 10, and the sum of whose square is minimum.

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Q: Ex 1. Find two positive numbers with a product equal to | 200 such that the sum of one number and…

A: Product of two number is 200 Let one number is x  other number = 200x

Q: Among all pairs of numbers whose difference is 24, find a pair whose product is as small as…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: The minimum value of Duf(x, y) is ||Vf(x, y)||. Select one: • True X False

A: A statement is given. We have to show that it is true or not.

Q: Among all pairs of numbers whose difference is 8, find a pair whose product is as small as possible.…

A: We have to find minimum product where difference of pair of numbers is 8. Let pair of numbers are x…

Q: Find the minimum value ofx +y +z² given x+y+z=3a.

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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: among all pairs of numbers whose difference is 20, find a pair whose product is as small as…

A:

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

A:

Q: A wire 12 inches long is cut into two, one part is bent in the form of a circle, and the other into…

A:

Q: Express y = 3x2 – 8x - 1 in the form y = 3(x – p)² + q, where p and q are constants and hence find…

A: To express in the form y=3(x-p)²+q

Q: Find the local minimum value of f(r, y) = 4+ a7 + y7 - 7ry.

A:

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: A rectangular field is to have an area of 900 sq. m. This is to be enclosed and divided into three…

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Q: nd two numbers whose sum is 24 with the condition that the sum of the square of one plus six es the…

A: Topic:- calculus

Q: Suppose that f(x, y) = x' + y – 2xy Then the minimum is

A: Solution is given below:

Q: Find the maximum and minimum volumes of a rectangular box whose surface area equals 8000 square cm…

A: Let the three sides or edges of the rectangular box be a,b and c in cm. Surface area of the box will…

Q: Of all numbers whose sum is 54​, find the two that have the maximum product. That​ is, maximize…

A: we have to find the value of x and y when Q has maximum value. the solution is following.

Q: Find a pair of non-negative numbers that have a product of 162 and minimize the sum of two times the…

A: Let the numbers be x,y. Given  x·y=162y=162x The function to be minimized will be Fx=2x+y…

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: Suppose that f(x, y) = x* + y* – 2xy Then the minimum is

A: