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# In each part below YOl are given function f (z) and simple closed contour â‚¬ (assume it is positively oriented)_ Determine if we can Ilse the Cauchy-Goursat th...

## Question

###### In each part below YOl are given function f (z) and simple closed contour â‚¬ (assume it is positively oriented)_ Determine if we can Ilse the Cauchy-Goursat theorem to conclde that Jc f(e)dz not; YOH do not have to compute the contour integral:f(z) tan z , C is the unit circle |-| = 1. f(2) tan z , C is the circle |z| = 2. (iii) f (z) sin(cos(sin(2 ) C is the ellipse IOO 400 (iv) f(z) = 32y+ 1+iry? C is the square with vertices 1 + i -+i,--11-1f(2) C is the square with vertices 3,31,-3,-3i_ 2+

In each part below YOl are given function f (z) and simple closed contour â‚¬ (assume it is positively oriented)_ Determine if we can Ilse the Cauchy-Goursat theorem to conclde that Jc f(e)dz not; YOH do not have to compute the contour integral: f(z) tan z , C is the unit circle |-| = 1. f(2) tan z , C is the circle |z| = 2. (iii) f (z) sin(cos(sin(2 ) C is the ellipse IOO 400 (iv) f(z) = 32y+ 1+iry? C is the square with vertices 1 + i -+i,--11-1 f(2) C is the square with vertices 3,31,-3,-3i_ 2+z+1' (vi) f(z) Log(z + 2), ( is the unit circle |z| =

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