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

Q: A piece of wire 40 cm long is to be cut into two pieces . One piece wil bent to form a circle, the…

A: The total length of the wire is 40 cm and one piece is to be formed into a circle and another one is…

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

A: As per our guidelines, we are allowed to answer only one question. Since you have asked multiple…

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

A: Our Aim is to find a pair of non-negative numbers that have a productof 162 and minimizes the sum of…

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

A:

Q: 2. What is the minimum product of two numbers that differ by 15? What are the two numbers?

A: Let one number be x and another number be x+15 So their product=x(x+15)=x2 + 15x =f(x) (say)

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

A:

Q: 1. The sum of two positive numbers is 10. Find these numbers if the sum of their squares is a…

A:

Q: What is the minimum

A:

Q: 2. Of all numbers whose sum is 30, find the two that have the maximum product. That is, maximize Q =…

A: To Determine: of all numbers whose sum is 50 ,find the two that have the maximum product .That is…

Q: Find the minimum value of x²+y² + z²,

A:

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

A:

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: A piece of wire of length 61 is cut into two pieces. One piece is bent into a square and the other…

A:

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: Suppose you have a 2.5 grade point average in 3 courses. What is the minimum average you can have in…

A:

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

A:

Q: 3. If the sum of two numbers is C, find the minimum value of the sum of their squares.

A:

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

A:

Q: Two nonnegative numbers whose product is 36a? (where a > 0) and whose sum is a minimum, are

A: Now we will solve the problem.

Q: What is the minimum value of x^2+100/x on a horizontal span of 1 to 5?

A: The given expression is x2+100x;1,2,3,4,5. Let us use the graph to analyze the above function for…

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

A: The difference of two numbers is 16. We have to find a pair whose product is as small as possible.…

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

A:

Q: From a tract of land, a developer plans to fence a rectangular region and then divide it into two…

A: Given: Cost of fence on outside = $20 per foot Cost of middle fence = $8 per foot Area of each lot =…

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

A:

Q: 11. What is the minimum product of two numbers whose difference is 18?

A: lets' numbers are x,x-18 where; x>x-18 so, productp of them will be p=xx-18=x2-18x now, product…

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

A:

Q: Suppose you have a 2.5 grade point average in 3 courses. What is the minimum average you can have in…

A:

Q: Suppose an airline policy states that all baggage must be box-shaped with a sum of length, width,…

A: We will use second derivative test to find the maximum volume.

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: find the minimum value of

A:

Q: A piece of wire of length 67 is cut, and the resulting two pieces are formed to make a circle and a…

A:

Q: 2. Find the following: (a) two nonnegative numbers whose sum is 12 such that their product is an…

A:

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: 1. The product of two numbers is 147. If the sum of one of the numbers and thrice the other is to be…

A:

Q: Among all pairs of numbers whose difference is 4, find a pair whose product is as small as possible.…

A: let the smaller number is x and the other number is x+4.and solve the question . see 2nd step.

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

A: Given problem is :

Q: 2. Find the dimensions of a rectangle with an area of 108 square feet that has the minimum…

A: Area of rectangle = (length)*(width) = 108 sq. ft we need to find dimensions of a rectangle with…

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: A piece of wire of length 60 is cut, and the resulting two pieces are formed to make a circle and…

A: Let x be the length of the wire cut for the circle then the length of the wire cut for the square.If…

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

A: Given function

Q: A piece of wire 40 cm long is to be cut into two pieces. One piece will be bent to form a circle,…

A:

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…

A:

Q: What is the minimum value of  g(x)=6x4-18x3-48 answer should be to 3 decimal places?

A: Derivative of the above function is,

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: A piece of wire of length 69 is cut into two pieces. One piece is bent into a square and the other…

A: Here we have to find the length of the square and circle such that the sum of areas of  square and…