- A gardener has 120 feet of fencing to fence in a rectangular garden. He wants one side of his garden to border his house, so he will not fence that side, and he wants to run fence down the center of the garden to separate the vegetables and the fruit, as shown in the picture below. (a) Find a function that models the total area A of the garden that he can fence in terms of its width w. HOUSE Veggie Garden length 1 Fruit Garden Function: (b) Find the dimensions of length and width that maximizes the area that he can fence. Label Units. Answer: (c) What is the largest possible area of the entire garden? Label Units. Answer:
- A gardener has 120 feet of fencing to fence in a rectangular garden. He wants one side of his garden to border his house, so he will not fence that side, and he wants to run fence down the center of the garden to separate the vegetables and the fruit, as shown in the picture below. (a) Find a function that models the total area A of the garden that he can fence in terms of its width w. HOUSE Veggie Garden length 1 Fruit Garden Function: (b) Find the dimensions of length and width that maximizes the area that he can fence. Label Units. Answer: (c) What is the largest possible area of the entire garden? Label Units. Answer:
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:A gardener has 120 feet of fencing to fence in a rectangular garden. He wants one side of his garden to border his house,
so he will not fence that side, and he wants to run fence down the center of the garden to separate the vegetables and the
fruit, as shown in the picture below.
(a) Find a function that models the total area A of the garden that he can fence in terms of its width w.
HOUSE
Veggie
Garden
length 1
Fruit
Garden
Function:
(b) Find the dimensions of length and width that maximizes the area that he can fence.
Label Units.
Answer:
(c) What is the largest possible area of the entire garden?
Label Units.
Answer:
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