A rancher has 600 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.
Arancher has feet of fencing to put around a rectangerfeld and then subdivide the field into 3 dentical smaller rectangular plots by placing tones para one of the field shorter sides Find this the maximize the enclosed area. Write your answers as fractions reduced to lowestes Answer
A veterinarian uses 1440 feet of chain-link fencing to enclose a rectangular region and to subdivide the region into two smaller rectangular regions by placing a fence parallel to one of the sides, as shown in the figure (a) Write the width w as a function of the length (b) Write the total area A as a function of I (c) Find the dimensions that produce the greatest enclosed area ft ft
6. (15) A farmer wishes to enclose a 4000 square meter field and subdivide it into four rectangular plots of equal area with fences parallel to one of the sides. Use the derivative to calculate what the dimensions of the field should be in order to minimize the amount of fencing required.
6. (15) A farmer wishes to enclose a 4000 square meter field and subdivide it into four rectangular plots of equal area with fences parallel to one of the sides. Use the derivative to calculate what the dimensions of the field should be in order to minimize the amount of fencing required.
3. A rectangular field is to be enclosed by a fence and divided into four smaller rectangular fields by three more parallel fences. Find the dimensions of the field if the total area enclosed is to be 4000 m2 and the amount of fencing used is to be a minimum the 3. A rectangular field is to be enclosed by a fence and divided into four smaller rectangular fields by three more parallel fences. Find the dimensions of the field...
A rancher plans to use 600 feet of fencing and a side of his bar to form a rectangular boundary for cattle. What dimensions of the rectangle would give the maximum area? What is that area? The maximum area occurs when each side of fencing that touches the bar is feet long and the side opposite the bar is feet long The maximum area is square feet (Type an integer or a fraction.)
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...
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.
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?...