6. Evaluate ž dz, where ti-clockwise din (b) C is the semicircle z = 2 + 3i + 5e", 3 4T in the anti-clockwise 3 direction.[Hint: Try using polar system]. (c) C is the semicircular path from (0,0) to (4, 4) with radius 2/2 and center at (2,2).[Hint: Express the equation of the semicircle in a similar form given in 6(b)].

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
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Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 5ECP: Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle...
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Please try to answer both B and C part of the question. 

6. Evaluate
ž dz, where
ti-clockwise din
(b) C is the semicircle z = 2 + 3i + 5e",
3
4T
in the anti-clockwise
3
direction.[Hint: Try using polar system].
(c) C is the semicircular path from (0,0) to (4, 4) with radius 2/2 and center
at (2,2).[Hint: Express the equation of the semicircle in a similar form
given in 6(b)].
Transcribed Image Text:6. Evaluate ž dz, where ti-clockwise din (b) C is the semicircle z = 2 + 3i + 5e", 3 4T in the anti-clockwise 3 direction.[Hint: Try using polar system]. (c) C is the semicircular path from (0,0) to (4, 4) with radius 2/2 and center at (2,2).[Hint: Express the equation of the semicircle in a similar form given in 6(b)].
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