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A rancher plans to use 600 feet of fencing and a side of his bar to...
A rancher has 600 feet of fencing to put around a rectangular field and then subdivide...
A rancher has 600 feet of fencing to put around a rectangular field and then subdivide the field into 3 identical smaller rectangular plots by placing two fences parallel to one of the field's shorter sides. Find the dimensions that maximize the enclosed area. Write your answers as fractions reduced to lowest terms. Answer Keypad
A rancher has 5370 feet of fencing to enclose a rectangular area bordering a river. He...
A rancher has 5370 feet of fencing to enclose a rectangular area bordering a river. He wants to separate his cows and horses by dividing the enclosure into two equal parts. If no fencing is required along the river, find the length of the center partition that will yield the maximum area. Find the length of the side parallel to the river that will yield the maximum area. Find the maximum area.
A rancher has 400 feet of fencing to put around a rectangular field and then subdivide...
A rancher has 400 feet of fencing to put around a rectangular field and then subdivide the field into two identical smaller rectangular plots by placing a fence parallel to one of the fields shorter sides. find the dimensions that maximize the enclosed area. write your answers as a fraction reduced to lowest terms.
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...
6. A rancher has 200 feet of fencing with which to enclose two adjacent rectangular corrals....
6. A rancher has 200 feet of fencing with which to enclose two adjacent rectangular corrals. One of the corrals is bordered on one side by a barn. a) What dimensions should be used so that the enclosed area will be a maximum? (Be sure to use calculus to validate that your solution is indeed a maximum.) A = 2X X = 2x./200-4X - 200 . d A dx - 2oo8X b) What is that maximum area? - 0 20%0-8x=0...
1. A rancher has 300 feet of fencing to enclose two adjacent rectangular pieces of land....
1. A rancher has 300 feet of fencing to enclose two adjacent rectangular pieces of land. -> 1 W a. Write an equation that relates length and width to the total given distance. [2 points] 1 + W = b. Use your equation in a. to write the total area (A) as a function of only one of these variables. [3 points] C. Find the dimensions that will yield a maximum area. [3 points] d. What is the maximum area?...
a. A rectangular pea is built with one side against a bam. If 1200 m offencing...
a. A rectangular pea is built with one side against a bam. If 1200 m offencing are used for the other three sides of the pon, what dimensions made the area of the pen? b. A rancher plans to make four identical and adjacent rectangular pens against a bam, each with an area of 225 offence that mus be used segure) What are the dimensions of each pon that minimize the amount a. Let A be the area of 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...
Find all the hypercritical values of the function. f(a) = x® – 4x4 – 27x2 The...
Find all the hypercritical values of the function. f(a) = x® – 4x4 – 27x2 The concentration of a drug in the bloodstream C(t) at any time t, in hours, is described by the equation 100t c(t) = 2 + 25 where t = 0 corresponds to the time at which the drug was swallowed. Determine how long it takes the drug to reach its maximum concentration. It will take hours until it reaches its maximum concentration. Suppose a baby...
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...
A rancher has 600 feet of fencing to put around a rectangular field and then subdivide the field into 3 identical smaller rectangular plots by placing two fences parallel to one of the field's shorter sides. Find the dimensions that maximize the enclosed area. Write your answers as fractions reduced to lowest terms. Answer Keypad
6. A rancher has 200 feet of fencing with which to enclose two adjacent rectangular corrals. One of the corrals is bordered on one side by a barn. a) What dimensions should be used so that the enclosed area will be a maximum? (Be sure to use calculus to validate that your solution is indeed a maximum.) A = 2X X = 2x./200-4X - 200 . d A dx - 2oo8X b) What is that maximum area? - 0 20%0-8x=0...
1. A rancher has 300 feet of fencing to enclose two adjacent rectangular pieces of land. -> 1 W a. Write an equation that relates length and width to the total given distance. [2 points] 1 + W = b. Use your equation in a. to write the total area (A) as a function of only one of these variables. [3 points] C. Find the dimensions that will yield a maximum area. [3 points] d. What is the maximum area?...
a. A rectangular pea is built with one side against a bam. If 1200 m offencing are used for the other three sides of the pon, what dimensions made the area of the pen? b. A rancher plans to make four identical and adjacent rectangular pens against a bam, each with an area of 225 offence that mus be used segure) What are the dimensions of each pon that minimize the amount a. Let A be the area of the...
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...
Find all the hypercritical values of the function. f(a) = x® – 4x4 – 27x2 The concentration of a drug in the bloodstream C(t) at any time t, in hours, is described by the equation 100t c(t) = 2 + 25 where t = 0 corresponds to the time at which the drug was swallowed. Determine how long it takes the drug to reach its maximum concentration. It will take hours until it reaches its maximum concentration. Suppose a baby...
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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