Question

1.) A farmer wants to fence in a rectangular plot of land adjacent to the north...

1.) A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No fencing is needed along the barn, and the fencing along the west side of the plot is shared with a neighbor who will split the cost of that portion of the fence. If the fencing costs $12 per linear foot to install and the farmer is not willing to spend more than $3000, find the dimensions for the plot that would enclose the most area.

(width, length)

2.) Find the points on the ellipse 4x2 + y2 = 4 that are farthest away from the point (−1, 0).

Only need answers thanks :)

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A farmer wants to fence in a rectangular plot of land adjacent to the north wall...
A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No fencing is needed along the barn, and the fencing along the west side of the plot is shared with a neighbor who will split the cost of that portion of the fence. If the fencing costs $16 per linear foot to install and the farmer is not willing to spend more than $8000, find the dimensions for the plot that...
A farmer wants to fence in a rectangular plot of land adjacent to the north wall...
A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No fencing is needed along the barn, and the fencing along the west side of the plot is shared with a neighbor who will split the cost of that portion of the fence. If the fencing costs $24 per linear foot to install and the farmer is not willing to spend more than $6000, find the dimensions for the plot that...
A farmer wants to fence in a rectangular plot of land adjacent to the north wall...
A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No fencing is needed along the barn, and fencing along the west side of the plot is shared with a neighbor who will split the cost of that portion of the fence. Fencing costs $20 per linear foot. The farmer is not willing to spend more than $5000. Find the dimension for the plot that would enclose the most area.
A farmer wants to fence in a rectangular plot of land adjacent to his barn. No...
A farmer wants to fence in a rectangular plot of land adjacent to his barn. No fence is needed along the barn. If the fencing cost $20 per foot and he wants to enclose 800 square feet, then what dimensions will minimize cost?
A farmer plans to fence a rectangular pasture with two pens adjacent to a river. No...
A farmer plans to fence a rectangular pasture with two pens adjacent to a river. No fencing is needed along the river. Both pens have access to the river. If a total pasture of 19,200 sq ft is desired, what dimensions will require the least amount of fencing?
A farmer is building a fence to enclose a rectangular area against an existing wall, shown...
A farmer is building a fence to enclose a rectangular area against an existing wall, shown in the figure below. A rectangle labeled, Fenced in Region, is adjacent to a rectangle representing a wall. Three of the sides will require fencing and the fourth wall already exists. If the farmer has 184 feet of fencing, what is the largest area the farmer can enclose?
A farmer wants to enclose a rectangular field by a fence and divide it into 2...
A farmer wants to enclose a rectangular field by a fence and divide it into 2 smaller but equal rectangular fields by constructing another fence parallel to one side. He has 6,000 yards of fencing.(a) draw picture (b) Find the dimensions of the field so that the total area is a maximum. (c)  Find the dimensions of the rectangular field the farmer can make the will contain the largest area.
A farmer has 800 ft of fencing, and wants to fence off a rectangular field that...
A farmer has 800 ft of fencing, and wants to fence off a rectangular field that borders a river with a straight bank. She needs no fence along the river. What are the dimensions of the field of largest area?
A farmer has 420 feet of fencing to enclose 2 adjacent rectangular pig pens sharing a...
A farmer has 420 feet of fencing to enclose 2 adjacent rectangular pig pens sharing a common side. What dimensions should be used for each pig pen so that the enclosed area will be a maximum? The two adjacent pens have the same dimensions. Find the absolute maximum value of f(x)= x4−2x
A fence must be built to enclose a rectangular area of 20,000ft2. Fencing material costs $1...
A fence must be built to enclose a rectangular area of 20,000ft2. Fencing material costs $1 per foot for the two sides facing north and south and $2 per foot for the other two sides. Find the cost of the least expensive fence. The cost of the least expensive fence is $____.