You have a 20-meter length of wire. An x meter length is cut from the end of the wire, and is formed into a circle. The remaining portion of the wire is formed into a square.  a) Write an expression for A (x), the total are (in m^2) of the the circle and the square together, as a function of x.  b) Suppose that the area of the square may be no greater than 5m^2. Under these conditions, what is the domain of the function A (x)? Give an exact awnser.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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You have a 20-meter length of wire. An x meter length is cut from the end of the wire, and is formed into a circle. The remaining portion of the wire is formed into a square. 

a) Write an expression for A (x), the total are (in m^2) of the the circle and the square together, as a function of x. 

b) Suppose that the area of the square may be no greater than 5m^2. Under these conditions, what is the domain of the function A (x)? Give an exact awnser. 

In (π - [wf
sin w - 12/2
ワールド
x meters
Į
20-meter length of wire. An a meter length is cut from the end
o a circle. The remaing portion of the wire is formed into a squar
20 meters of wire
↓
n expression for A(x), the total area (in m²) of the circle and
ction of x.
e that the area of the square may be no greater than 5 m²
hat is the domain of the function A(z)? Give an exact a
mation.
o the right shows the graph of
cluding three specific points A,
all parts of this problem, f is
hown in this drawing.
the graph, what is the value of
domain and range of f(x).
7(x) = f(x - 3). Find g(2),
g(7), and use these values to
e points A, B, and C "move"
Then sketch the
++
-3 -2 -1
A(-1,-2)
Y
Transcribed Image Text:In (π - [wf sin w - 12/2 ワールド x meters Į 20-meter length of wire. An a meter length is cut from the end o a circle. The remaing portion of the wire is formed into a squar 20 meters of wire ↓ n expression for A(x), the total area (in m²) of the circle and ction of x. e that the area of the square may be no greater than 5 m² hat is the domain of the function A(z)? Give an exact a mation. o the right shows the graph of cluding three specific points A, all parts of this problem, f is hown in this drawing. the graph, what is the value of domain and range of f(x). 7(x) = f(x - 3). Find g(2), g(7), and use these values to e points A, B, and C "move" Then sketch the ++ -3 -2 -1 A(-1,-2) Y
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