In this problem you are asked to find a function that models a real-life situation and then use the model to answer questions about the situation. Use the guidelin A wire 24 cm long is cut into two pieces, one of length x and the other of length 24-x, as shown in the figure. Each piece is bent into the shape of a square. -24 cm -24-x (a) Find a function that models the total area A enclosed by the two squares in terms of x. 24 A(x) = = + 16 -x2 4 (b) Find the value of x that minimizes the total area of the two squares. X=12 cm
In this problem you are asked to find a function that models a real-life situation and then use the model to answer questions about the situation. Use the guidelin A wire 24 cm long is cut into two pieces, one of length x and the other of length 24-x, as shown in the figure. Each piece is bent into the shape of a square. -24 cm -24-x (a) Find a function that models the total area A enclosed by the two squares in terms of x. 24 A(x) = = + 16 -x2 4 (b) Find the value of x that minimizes the total area of the two squares. X=12 cm
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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![In this problem you are asked to find a function that models a real-life situation and then use the model to answer questions about the situation. Use the guidelin
A wire 24 cm long is cut into two pieces, one of length x and the other of length 24 - x, as shown in the figure. Each piece is bent into the shape of a square.
+
-24
cm
-24-x
(a) Find a function that models the total area A enclosed by the two squares in terms of x.
+2
A(x) =
16
이
24
-x2
4
(b) Find the value of x that minimizes the total area of the two squares.
X=12
cm](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F18b2c7f8-9dd8-4823-bd91-7937862afda5%2F430b9a07-6d8f-4ca2-aee6-04bef5a46c01%2Fwmwhy98_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In this problem you are asked to find a function that models a real-life situation and then use the model to answer questions about the situation. Use the guidelin
A wire 24 cm long is cut into two pieces, one of length x and the other of length 24 - x, as shown in the figure. Each piece is bent into the shape of a square.
+
-24
cm
-24-x
(a) Find a function that models the total area A enclosed by the two squares in terms of x.
+2
A(x) =
16
이
24
-x2
4
(b) Find the value of x that minimizes the total area of the two squares.
X=12
cm
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