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You have 120 yards of fencing and you need to enclose a rectangular...
Diana has available 120 yards of fencing and wishes to enclose a rectangular area. (a) Express...
Diana has available 120 yards of fencing and wishes to enclose a rectangular area. (a) Express the area A of the rectangle as a function of the width W of the rectangle (b) For what value of W is the area largest? (c) What is the maximum area? (a) AM-L (b) The area is largest for W yards (c) The maximum area is square yards (Simplify your answer) implify your answer.) Enter your answer in each of the answer boxes
Queation 8 upport David has available 120 yards of fencing and wishes to enclose a rectangular...
Queation 8
upport David has available 120 yards of fencing and wishes to enclose a rectangular area. (a) Express the area A of the rectangle as a function of the width W of the rectangle. (b) For what value of W is the area largest? (c) What is the maximum area? 01 11 L (a) Express the area as a function of the width. A(W) = 0 (b) For what value of W is the area largest? W=yards (Simplify your...
Consider the following problem: A farmer with 950 ft of fencing wants to enclose a rectangular...
Consider the following problem: A farmer with 950 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle. What is the largest possible total area of the four pens? (a) Draw several diagrams illustrating the situation, some with shallow, wide pens and some with deep, narrow pens. Find the total areas of these configurations. Does it appear that there is a maximum area? If so,...
Consider the following problem: A farmer with 750 ft of fencing wants to enclose a rectangular...
Consider the following problem: A farmer with 750 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle. What is the largest possible total area of the four pens? (a) Draw several diagrams illustrating the situation, some with shallow, wide pens and some with deep, narrow pens. Find the total areas of these configurations. Does it appear that there is a maximum area? If so,...
Consider the following problem: A farmer with 950 ft of fencing wants to enclose a rectangular...
Consider the following problem: A farmer with 950 ft of fencing wants to enclose a rectangular area and then divide into four pens with fencing parallel to one side of the rectangle. What is the largest possible total area of the four per (a) Draw several diagrams illustrating the situation, some with shallow, wide pens and some with deep, narrow pens. Find the total areas of these configurations. Does it appear that there is a maximum area? If so, estimate...
A rancher has 280 yards of fence with which to enclose three sides of a rectangular...
A rancher has 280 yards of fence with which to enclose three sides of a rectangular plot (the fourth side is a river and will not require fencing). Find the dimensions of the plot with the largest possible area. (For the purpose of this problem, the width will be the smaller dimension (needing two sides), the length with be the longer dimension (needing one side).) length - width- yards yards What is the largest area possible for this plot? area-...
David has 520 yards of fencing to enclose a rectangular area. Find the dimensions of the...
David has 520 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle that maximize the enclosed area. What is the maximum area? yards and a width of yards. A rectangle that maximizes the enclosed area has a length of The maximum area is square yards Enter your answer in each of the answer boxes. The function f(x)=x® - 3 is one-to-one. Find an equation for f '(x), the inverse function. (Type an expression for the...
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 rectangular field is to be enclosed on four sides with a fence. Fencing costs $5...
A rectangular field is to be enclosed on four sides with a fence. Fencing costs $5 per foot for two opposite sides, and $7 per foot for the other two sides. Find the dimensions of the field of area 870 ft2 that would be the cheapest to enclose. OA) 24.9 ft @ $5 by 34.9 ft @ $7 B) 41.3 ft @ $5 by 21.1 ft @ $7 21.1 ft @ $5 by 41.3 ft @ $7 OD) 34.9 ft...
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...
Diana has available 120 yards of fencing and wishes to enclose a rectangular area. (a) Express the area A of the rectangle as a function of the width W of the rectangle (b) For what value of W is the area largest? (c) What is the maximum area? (a) AM-L (b) The area is largest for W yards (c) The maximum area is square yards (Simplify your answer) implify your answer.) Enter your answer in each of the answer boxes
Queation 8
upport David has available 120 yards of fencing and wishes to enclose a rectangular area. (a) Express the area A of the rectangle as a function of the width W of the rectangle. (b) For what value of W is the area largest? (c) What is the maximum area? 01 11 L (a) Express the area as a function of the width. A(W) = 0 (b) For what value of W is the area largest? W=yards (Simplify your...
Consider the following problem: A farmer with 750 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle. What is the largest possible total area of the four pens? (a) Draw several diagrams illustrating the situation, some with shallow, wide pens and some with deep, narrow pens. Find the total areas of these configurations. Does it appear that there is a maximum area? If so,...
Consider the following problem: A farmer with 950 ft of fencing wants to enclose a rectangular area and then divide into four pens with fencing parallel to one side of the rectangle. What is the largest possible total area of the four per (a) Draw several diagrams illustrating the situation, some with shallow, wide pens and some with deep, narrow pens. Find the total areas of these configurations. Does it appear that there is a maximum area? If so, estimate...
A rancher has 280 yards of fence with which to enclose three sides of a rectangular plot (the fourth side is a river and will not require fencing). Find the dimensions of the plot with the largest possible area. (For the purpose of this problem, the width will be the smaller dimension (needing two sides), the length with be the longer dimension (needing one side).) length - width- yards yards What is the largest area possible for this plot? area-...
David has 520 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle that maximize the enclosed area. What is the maximum area? yards and a width of yards. A rectangle that maximizes the enclosed area has a length of The maximum area is square yards Enter your answer in each of the answer boxes. The function f(x)=x® - 3 is one-to-one. Find an equation for f '(x), the inverse function. (Type an expression for the...
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 rectangular field is to be enclosed on four sides with a fence. Fencing costs $5 per foot for two opposite sides, and $7 per foot for the other two sides. Find the dimensions of the field of area 870 ft2 that would be the cheapest to enclose. OA) 24.9 ft @ $5 by 34.9 ft @ $7 B) 41.3 ft @ $5 by 21.1 ft @ $7 21.1 ft @ $5 by 41.3 ft @ $7 OD) 34.9 ft...
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...
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