A gardener has 37 feet of fencing to be used to enclose a rectangular garden that...
Farmer has 800 yards of fencing to enclose rectangular garden. Express the area A of the rectangle as a function of the width X of the rectangle. What is the domain of A?
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
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 rectangular garden plot must have a fixed area of 500 square feet. The farmer wishes to put up a fence on three sides of the garden. (See figure. No fencing on the dashed side.) x y (a) Find a function f representing the amount of fencing needed in terms of x where x is one side of the garden as shown in the figure. 4 pts (b) Find the minimum amount of fencing possible for this project. (Use your...
An ecology center wants to set up an experimental garden using 300 m of fencing to enclose a rectangular area of 5000 m^2. Find the dimensions of the garden.
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.
Luke has a rectangular garden which is 15 feet long and 14 feet wide. He has 208 square foot of paving stones, and he wants to build a pathway around the border of the garden, like the diagram below: 15 X 14 X x How wide will the pathway be? (The pathway must be the same width the whole way around the garden)
Question 4 Lisa has a rectangular garden which is 35 feet long and 17 feet wide. She has 420 square foot of paving stones, and she wants to build a pathway around the border of the garden, like the diagram below: 35 17 How wide will the pathway be? (The pathway must be the same width the whole way around the garden) feet
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 farmer has 250ft of fencing and wants to enclose a rectangular area of 2100ft^2. What dimensions should she use?