6. (a) Given (x, y) write down expressions for expressions as far as possible. - 1 x³ - y² дф дф Əx' dy and 2²6 дуг 7 simplifying your
6. (a) Given (x, y) write down expressions for expressions as far as possible. - 1 x³ - y² дф дф Əx' dy and 2²6 дуг 7 simplifying your
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 51E
Related questions
Question
![6. (a) Given
o(x, y)
write down expressions for
expressions as far as possible.
=
1
x³ - y²
ab
дф
2²6
and
Əx' ду dy²¹
Wk =
(b) The natural frequencies wk (k = 1, 2, 3, ...) of a vibrating string can
be written
kπ
ev
simplifying your
T
where is the length of the string, T the tension, and p the density.
If the length and tension increase by 2% and 1% respectively what
is the approximate change in the lowest natural frequency w₁?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F99fbcbf0-039b-4c83-9614-0613e752df6a%2F29b3ab93-68a9-467a-8183-ce96c2c34647%2F2k2tylc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6. (a) Given
o(x, y)
write down expressions for
expressions as far as possible.
=
1
x³ - y²
ab
дф
2²6
and
Əx' ду dy²¹
Wk =
(b) The natural frequencies wk (k = 1, 2, 3, ...) of a vibrating string can
be written
kπ
ev
simplifying your
T
where is the length of the string, T the tension, and p the density.
If the length and tension increase by 2% and 1% respectively what
is the approximate change in the lowest natural frequency w₁?
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Follow-up Questions
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Follow-up Question
![(b) The natural frequencies wk (k = 1, 2, 3, ...) of a vibrating string can
be written
Wk
=
kπ T
l
where is the length of the string, T the tension, and p the density.
If the length and tension increase by 2% and 1% respectively what
is the approximate change in the lowest natural frequency w₁?](https://content.bartleby.com/qna-images/question/99fbcbf0-039b-4c83-9614-0613e752df6a/07e7a19a-dccc-4cd8-8caf-3821f7b2b3c4/fhzkk0c_thumbnail.jpeg)
Transcribed Image Text:(b) The natural frequencies wk (k = 1, 2, 3, ...) of a vibrating string can
be written
Wk
=
kπ T
l
where is the length of the string, T the tension, and p the density.
If the length and tension increase by 2% and 1% respectively what
is the approximate change in the lowest natural frequency w₁?
Solution
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