Suppose that 489 ft of fencing are used to enclose a corral in the shape of a rectangle with a semicircle whose diameter is a side of the rectangle as shown in the following figure: X. Find the dimensions of the corral with maximum area. Part 1: Find the area of this corral. A = Part 2: Find the perimeter of this corral. Part 3: Find the value of y as a function of x, using the given value of the perimeter.
Suppose that 489 ft of fencing are used to enclose a corral in the shape of a rectangle with a semicircle whose diameter is a side of the rectangle as shown in the following figure: X. Find the dimensions of the corral with maximum area. Part 1: Find the area of this corral. A = Part 2: Find the perimeter of this corral. Part 3: Find the value of y as a function of x, using the given value of the perimeter.
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
Problem 8P
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![Suppose that 489 ft of fencing are used to enclose a corral in the shape of a rectangle with a semicircle whose diameter is a side of the rectangle as
shown in the following figure:
X.
Find the dimensions of the corral with maximum area.
Part 1: Find the area of this corral.
A =
Part 2: Find the perimeter of this corral.
Part 3: Find the value of y as a function of x, using the given value of the perimeter.
Part 4: Rewrite the area A of the corral as a function of x
Part 5: Find the derivative of the area A of the corral with respect to x
Part 6: Find the x and y values that maximize the area of the corral.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0b2aacdb-f55c-40ff-8467-8e7343d790c7%2F279c509f-007d-460e-826a-8d6092aca167%2Fgml8ndj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose that 489 ft of fencing are used to enclose a corral in the shape of a rectangle with a semicircle whose diameter is a side of the rectangle as
shown in the following figure:
X.
Find the dimensions of the corral with maximum area.
Part 1: Find the area of this corral.
A =
Part 2: Find the perimeter of this corral.
Part 3: Find the value of y as a function of x, using the given value of the perimeter.
Part 4: Rewrite the area A of the corral as a function of x
Part 5: Find the derivative of the area A of the corral with respect to x
Part 6: Find the x and y values that maximize the area of the corral.
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