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b) The location í of the centroid of a segment of a circle is given by: 2r sin³ a %3D 3 (α-sina cos α) By assuming a = sin a, i.) Determine the angle a for which =. First, derive the equation that must be 3r 4 solved. ii.) Find the minimum number of iterations which requires to determine the root. The stopping criteria of this function is 0.01 and the given interval is [0.1, 1.4]. iii.)Use the bisection method to calculate the root of the function.

b) The location í of the centroid of a segment of a circle is given by: 2r sin³ a %3D 3 (α-sina cos α) By assuming a = sin a, i.) Determine the angle a for which =. First, derive the equation that must be 3r 4 solved. ii.) Find the minimum number of iterations which requires to determine the root. The stopping criteria of this function is 0.01 and the given interval is [0.1, 1.4]. iii.)Use the bisection method to calculate the root of the function.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 60E
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b) The location ĩ of the centroid of a segment of a circle is given by: 2r sin³ a 3 (a - sin a cos aæ) By assuming a = sin a, 3r i.) Determine the angle a for which =. First, derive the equation that must be 4 solved. ii.) Find the minimum number of iterations which requires to determine the root. The stopping criteria of this function is 0.01 and the given interval is [0.1, 1.4]. iii.)Use the bisection method to calculate the root of the function.
Transcribed Image Text:b) The location ĩ of the centroid of a segment of a circle is given by: 2r sin³ a 3 (a - sin a cos aæ) By assuming a = sin a, 3r i.) Determine the angle a for which =. First, derive the equation that must be 4 solved. ii.) Find the minimum number of iterations which requires to determine the root. The stopping criteria of this function is 0.01 and the given interval is [0.1, 1.4]. iii.)Use the bisection method to calculate the root of the function.
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