1. You have a piece of wire of 10 cm. You use the wire to form either a square or a circle, or you cut the wire and form a square and a circle .If you cut and use a wire of length a to form the square and the wire of length 10-a to form the circle, the area of the square and/or circle is given by the function Aa) = ta² + ±(10 – a)² = 0. 142a² – i.592a + 7.958, 0 < a < 10. For what value of a will the area be a maximum?
1. You have a piece of wire of 10 cm. You use the wire to form either a square or a circle, or you cut the wire and form a square and a circle .If you cut and use a wire of length a to form the square and the wire of length 10-a to form the circle, the area of the square and/or circle is given by the function Aa) = ta² + ±(10 – a)² = 0. 142a² – i.592a + 7.958, 0 < a < 10. For what value of a will the area be a maximum?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
You have a piece of wire of 10cm. you use the wire to form either a square or a circle, or you cut the wire and form a square and a circle. if you cut and use a wire of length a to form the square and/or circle is given by the function
f(a) = (1/16)a^2 + (1/4pi)(10-a)^2 = 0.142a^2 - 1.592a + 7.958 ,
0<=a<=10
For what value of a will the area be a maximum ?
Transcribed Image Text:1. You have a piece of wire of 10 cm. You use the wire to form either a square or a
circle, or you cut the wire and form a square and a circle .lf you cut and use a wire
of length a to form the square and the wire of length 10 - a to form the circle,
the area of the square and/or circle is given by the function
Aa) = ta? + +(10 – a)? = 0. 142a² – 1.592a + 7.958, 0 < a < 10.
For what value of a will the area be a maximum?
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