Homework Answers
7.(7 points) Farmer Joe has 48 feet of fence and wants to build two pens to...
7.(7 points) Farmer Joe has 48 feet of fence and wants to build two pens to hold his pigs because he's tired of them getting into his house (just look how menacing they arel) He plans to do this by building one large rectangular pen and splitting it down the middle with a length of fence. What dimensions (labeled x and y in the picture below) should the farmer use to maximize the area enclosed? (Must use calculus to get...
a. A rectangular pen is built with one side against a barn. If 2100 m of fencing are used for the other t...
a. A rectangular pen is built with one side against a barn. If 2100 m of fencing are used for the other three sides of the pen, what dimensions maximize the area of the pen? b. A rancher plans to make four identical and adjacent rectangular pens against a barn, each with an area of 100 m squared (see figure). What are the dimensions of each pen that minimize the amount of fence that must be used? A rectangle is...
Two triangular pens are built against a barn. Two hundred meters of fencing are to be...
Two triangular pens are built against a barn. Two hundred meters of fencing are to be used for the three sides and the diagonal dividing fence. What dimensions of maximize the area of the pen? What is the area of the pen? What is the length of the dividing fence? b- Newton's Method is a method to approximate the roots of a function. It states: 1. Choose an initial approximation X, as close to the root as possible, 2. For...
13. Farmer MacDonald has two pigs that do not get along. He needs to build a...
13. Farmer MacDonald has two pigs that do not get along. He needs to build a pen for each one, side by side of equal area. Using the side of the barn as one length of the rectangular pen, what is the maximum area the farmer can enclose with 180 feet of fencing? Barn
all of them please CU . a) A farmer wishes to enclose a rectangular pen whose area is 168 ft?.On 3 of the sides, he...
all of them please
CU . a) A farmer wishes to enclose a rectangular pen whose area is 168 ft?.On 3 of the sides, he can use regular Fencing, which costs S3/ft. On the remaining side, he must use heavy-duty fencing, which costs S4/ft. Find the dimensions and cost of the most economical fence? ocus b) An open box with a square base must a have a volume of 864 in3. Find the least amount (area) of thin cardboard needed...
A farmer has 400 feet of fencing with which to build a rectangular pen. He will...
A farmer has 400 feet of fencing with which to build a rectangular pen. He will use part of an existing straight wall 100 feet long as part of one side of the perimeter of the pen. What is the maximum area that can be enclosed? Hint: Find an equation for the area of the pen using one variable then use your constraints to determine your interval values)
A farmer wishes to erect a fence enclosing a rectangular area adjacent to a barn which...
A farmer wishes to erect a fence enclosing a rectangular area adjacent to a barn which is 16 feet long. His plan Barn 16 ft Fenced area for the fenced area indicates the fencing in bold black lines; it shows also that the barn will be used as part of the fencing on one side. Find the largest area, Amar, that can be enclosed if 96 feet of fencing material is available. 1. Amar = 784 sq. ft. 2. Amar...
A large lot in a park is going to be split into two softball fields, and...
A large lot in a park is going to be split into two softball fields, and each field will be enclosed with a fence. A rectangular lot, wider in width than it is tall in height, is shown. A vertical line begins about halfway across the top of the rectangle extends down to bottom side, splitting the lot in two. The top side length is labeled y. The left and right side lengths are labeled x, as well as the...
I have done these multiple times and cannot seem to get the right answers. Help would...
I have done these multiple times and cannot seem to get the
right answers. Help would be much appreciated!
3.4 Applied Optimization Turned incally when < Previous Nex A cattle rancher wants to enclose a rectangular area and the divide it into three pens with fencing parallel to one side of the rectangle (see the figure below). There are 580 feet of fencing available to complete the job. What is the largest possible total area of the three pens Largest...
Show work please Optimization problems 1. (5 points) Find two nonnegative numbers whose sum is 25...
Show work please
Optimization problems 1. (5 points) Find two nonnegative numbers whose sum is 25 and so that the product of one number and the square of the other number is a maximum. 2. (5 points) Build a rectangular pen with two parallel partitions using 300 feet of fencing. What dimensions will maximize the total area of the pen? (5 points) An open rectangular box with square base is to be made from 48 ft.2 of material. What dimensions...
7.(7 points) Farmer Joe has 48 feet of fence and wants to build two pens to hold his pigs because he's tired of them getting into his house (just look how menacing they arel) He plans to do this by building one large rectangular pen and splitting it down the middle with a length of fence. What dimensions (labeled x and y in the picture below) should the farmer use to maximize the area enclosed? (Must use calculus to get...
Two triangular pens are built against a barn. Two hundred meters of fencing are to be used for the three sides and the diagonal dividing fence. What dimensions of maximize the area of the pen? What is the area of the pen? What is the length of the dividing fence? b- Newton's Method is a method to approximate the roots of a function. It states: 1. Choose an initial approximation X, as close to the root as possible, 2. For...
13. Farmer MacDonald has two pigs that do not get along. He needs to build a pen for each one, side by side of equal area. Using the side of the barn as one length of the rectangular pen, what is the maximum area the farmer can enclose with 180 feet of fencing? Barn
all of them please
CU . a) A farmer wishes to enclose a rectangular pen whose area is 168 ft?.On 3 of the sides, he can use regular Fencing, which costs S3/ft. On the remaining side, he must use heavy-duty fencing, which costs S4/ft. Find the dimensions and cost of the most economical fence? ocus b) An open box with a square base must a have a volume of 864 in3. Find the least amount (area) of thin cardboard needed...
A farmer has 400 feet of fencing with which to build a rectangular pen. He will use part of an existing straight wall 100 feet long as part of one side of the perimeter of the pen. What is the maximum area that can be enclosed? Hint: Find an equation for the area of the pen using one variable then use your constraints to determine your interval values)
A farmer wishes to erect a fence enclosing a rectangular area adjacent to a barn which is 16 feet long. His plan Barn 16 ft Fenced area for the fenced area indicates the fencing in bold black lines; it shows also that the barn will be used as part of the fencing on one side. Find the largest area, Amar, that can be enclosed if 96 feet of fencing material is available. 1. Amar = 784 sq. ft. 2. Amar...
I have done these multiple times and cannot seem to get the
right answers. Help would be much appreciated!
3.4 Applied Optimization Turned incally when < Previous Nex A cattle rancher wants to enclose a rectangular area and the divide it into three pens with fencing parallel to one side of the rectangle (see the figure below). There are 580 feet of fencing available to complete the job. What is the largest possible total area of the three pens Largest...
Show work please
Optimization problems 1. (5 points) Find two nonnegative numbers whose sum is 25 and so that the product of one number and the square of the other number is a maximum. 2. (5 points) Build a rectangular pen with two parallel partitions using 300 feet of fencing. What dimensions will maximize the total area of the pen? (5 points) An open rectangular box with square base is to be made from 48 ft.2 of material. What dimensions...
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