Juanita wishes to have a rectangular garden in her backyard with an area of 72 ft2. Find the dimensions of the garden that will minimize the amount of fencing needed, Round your answer to two decimal places, if necessary. Let x be the width (in ft) of the garden, and y be the length (in ft) of the garden. X = ft Complete the following parts. (a) Give a function f in the variable x for the quantity to be optimized. f(x) = (b) State the domain of this function. (Enter. your answer using interval notation.) (c) Give the formula for y in terms of x. y =

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.2: Domain And Range
Problem 61SE: The cost in dollars of making x items is given by the function Cx)=10x+500. a. The fixed cost is...
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Juanita wishes to have a rectangular garden in her backyard with an area of 72 ft2. Find the dimensions of the garden that will minimize the amount of fencing needed, Round
your answer to two decimal places, if necessary.
Let x be the width (in ft) of the garden, and y be the length (in ft) of the garden.
X =
ft
Complete the following parts.
(a)
Give a function f in the variable x for the quantity to be optimized.
f(x) =
(b)
State the domain of this function. (Enter. your answer using interval notation.)
(c)
Give the formula for y in terms of x.
y =
Transcribed Image Text:Juanita wishes to have a rectangular garden in her backyard with an area of 72 ft2. Find the dimensions of the garden that will minimize the amount of fencing needed, Round your answer to two decimal places, if necessary. Let x be the width (in ft) of the garden, and y be the length (in ft) of the garden. X = ft Complete the following parts. (a) Give a function f in the variable x for the quantity to be optimized. f(x) = (b) State the domain of this function. (Enter. your answer using interval notation.) (c) Give the formula for y in terms of x. y =
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