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

Q: I have 250 unique pairs of socks. If I want to have a pair of socks, what is the minimum number of…

A: Matching Pair: A matching pair is an experimental design where objects having the same…

Q: What is the minimum product you can achieve from two real numbers, if one of them is three less than…

A: This question is based on application of derivative.

Q: truck travelling west at 100km/h is 250km due east of a sports car going north at 120km/h.…

A: At t = 1.04 hour, they are closests to each other. Minimum distance between them is 192.07 km.

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

A: Given sum of two numbers are 16. Let first number be x and second number=16-x. Now, sum of squares…

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: 12. Show that a rectangle with given perimeter has maximum area when it is a square.

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Q: 8. A farmer wants to fence an area of 16000 square feet and then divide it into 4 parts by placing 3…

A: To minimise the cost, the dimensions are to be computed. we have,Area = xy = 16000now,Length of…

Q: 5. Find the length and width of a rectangle that has an area of 32 square feet and a minimum…

A: Given, area A=32 sq.ft Let, x be the length and y be the width. The formula for the area of a…

Q: How do I find the minimum number for the upper quarter of the time to pass a kidney stone  .…

A: Obtain the minimum number for the upper quarter of the time to pass a kidney stone. The minimum…

Q: Farmer Tullamre wants to lay new sod on a piece of land that measures 30ft by 100ft. If sod is sold…

A: He should buy minimum 37 stripes.

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 method for finding the maximum or minimum value of a quantity that is subject to various…

A: Given: A method for finding the maximum and minimum value of a quantity that is subject to various…

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 18, find a pair whose product is as small as…

A:

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

A:

Q: 5. An open rectangular box with a square base is to contain 500 m³ . What is the minimum cost if the…

A: A open rectangular box with a square base contain 500 m^3

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

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Q: 4.1 The sum of two numbers is 12. Find the minimum value of the sum of their cubes.

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Q: 1. The sum of two numbers is 12. What are these numbers if the product of the first and the cube of…

A: Given problem Given that   The sum of two numbers = 12 Let the two numbers be x and y. We have to…

Q: A box with a square base and an open-top is to be constructed. The base will be made of material…

A:

Q: 1. Suppose an airline policy states that all baggage must be box-shaped with a sum of length, width,…

A: Given Data: Assume, The length of the box is: l The width of the box is: w The height of the box is:…

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: In a city each person earns at most $5000 per month and every house is occupied by at most five…

A: HERE Given  Maximum earnings of of person = $5000 Maximum person in one one house= 5

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: In a plastic bag there are 12 white marbles, 7 green marbles, and 8 blue marbles. What is the…

A: Given Data: Number of white marbles=12 Number of green marbles=7 Number of blue marbles=8   To Find:…

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

A:

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

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: What is the minimum value of 3x 4x +1 and for what value of x does it occur?

A: We have to find the minimum value of 3x2-4x+1 and for what value of x does it occur.

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: х2 + 5х —4 minimum point of y х — 5

A: The point of minimum can be obtained by differentiating the function and equating it to 0. The…

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: 6. The sum of two numbers is k. Find the minimum value of the sum of their cubes.

A: Minimum value of the sum of their cubes is

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: An open box of maximum volume is to be made from a square piece of material, 24 inches on a side, by…

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: What is the minimum value of  y=–3–5sin(4x)

A: Consider the graphs:  First see the graph of y = -5 sin(4x) Since, the sine function is a periodic…

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

A:

Q: 2. The sum of perimeters of an equilateral triangle and a square is 10. Find the dimensions of the…

A: Recall: In equilateral triangle, all three angles are always 60°.

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 course has 30 students and four possible letter grades A, B, C, D. What is the maximum number of…

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Q: A video game company finds the daily total cost of producing 500 games is $41,800. It also finds…

A:

Q: what is the minimum value of y=–8+2cos4x?

A: Given, y = –8 + 2cos4x  We have to find the minimum value of  y = –8 + 2cos4x   When we have the…

Q: 4. Find two positive numbers whose product is 750 and for which the sum of one and 10 times the…

A: For minimum , second derivative of the function should  be positive.

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: 11. Determine three positive numbers whose sum is 21, so that your product is the maximum possible…

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Q: 1. What is the maximum product of two positive numbers which are solutions to 4x+y = 16?

A: 4x+y=16

Q: Find two numbers with difference 64 and whose product is a minimum. Enter your answers in increasing…

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