y o X X 1 2 4 1 1 y 1 2 yoc 1 x X 0.5 1 y 1 0.5 0.25 5 7:37 7 of 11 moodle.deakincollege.edu.au 51 (4 marks) Problem-Solving The length of a string on a musical instrument varies inversely to its frequency vibration. A 32.5 cm string on a violin has a frequency vibration of 400 cycles per second. What would be the frequency vibration of a 24.2 cm string? Give your answer to the nearest whole number. (2 marks) The gas in a cylindrical canister occupies a volume of 22.5 cm³ and exerts a pressure of 1.9 kg/cm². If the volume (V) varies inversely with the pressure (P), find the pressure if the volume is reduced to 15 cm³. Question 6: Use the transformation to check if plotting the values of ¹ and v is linear. (2 marks)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Answer tge following questions ensure complete steps of cakculation
y o
X
X
1
2
4
1
1
y
1
2
yoc 1
x
X
0.5
1
y
1
0.5
0.25
5
Transcribed Image Text:y o X X 1 2 4 1 1 y 1 2 yoc 1 x X 0.5 1 y 1 0.5 0.25 5
7:37
7 of 11
moodle.deakincollege.edu.au
51
(4 marks)
Problem-Solving
The length of a string on a musical instrument varies inversely to its frequency vibration. A
32.5 cm string on a violin has a frequency vibration of 400 cycles per second. What would be
the frequency vibration of a 24.2 cm string? Give your answer to the nearest whole number.
(2 marks)
The gas in a cylindrical canister occupies a volume of 22.5 cm³ and exerts a pressure of 1.9
kg/cm². If the volume (V) varies inversely with the pressure (P), find the pressure if the
volume is reduced to 15 cm³.
Question 6:
Use the transformation to check if plotting the values of ¹ and v is linear.
(2 marks)
Transcribed Image Text:7:37 7 of 11 moodle.deakincollege.edu.au 51 (4 marks) Problem-Solving The length of a string on a musical instrument varies inversely to its frequency vibration. A 32.5 cm string on a violin has a frequency vibration of 400 cycles per second. What would be the frequency vibration of a 24.2 cm string? Give your answer to the nearest whole number. (2 marks) The gas in a cylindrical canister occupies a volume of 22.5 cm³ and exerts a pressure of 1.9 kg/cm². If the volume (V) varies inversely with the pressure (P), find the pressure if the volume is reduced to 15 cm³. Question 6: Use the transformation to check if plotting the values of ¹ and v is linear. (2 marks)
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