3 The location i of the centroid of an arc of a circle is given by: i - rsina Determine the angle a for which & - . First, derive the equation that must be solved and then determine the root using the following methods: (a) Use the bisection method. Start with a- 0.5 and b- 1.5, and carry out the first four iterations. C (b) Use the secant method. Start with the two points a, - 0.5 and az = - 1.5 , and carry out the first four iterations.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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3 The location i of the centroid of an arc of a circle is given by:
i - "sina
Determine the angle a for which i = .
First, derive the equation that must be solved and then determine the root using
the following methods:
(a) Use the bisection method. Start with a= 0.5 and b= 1.5, and carry
out the first four iterations.
(b) Use the secant method. Start with the two points a, - 0.5 and
az =
- 1.5 , and carry out the first four iterations.
Transcribed Image Text:3 The location i of the centroid of an arc of a circle is given by: i - "sina Determine the angle a for which i = . First, derive the equation that must be solved and then determine the root using the following methods: (a) Use the bisection method. Start with a= 0.5 and b= 1.5, and carry out the first four iterations. (b) Use the secant method. Start with the two points a, - 0.5 and az = - 1.5 , and carry out the first four iterations.
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