(4) (a) Find the contour integral de using the Cauchy integral formula, where C is the positively oriented circle given by |z-il = 2. (h) Let G be the pe tat

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Chapter2: Second-order Linear Odes
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(4) (a) Find the contour integral
de using the Cauchy integral formula, where
C is the positively oriented circle given by |z-il = 2.
(b) Let C' be the positively oriented circle given by |z| = 3. If g(z) is a function such
that g(z) = [22-1-2ds for every 2 € C with [2] # 3, then find g(1) using the
Cauchy integral formula.
Transcribed Image Text:(4) (a) Find the contour integral de using the Cauchy integral formula, where C is the positively oriented circle given by |z-il = 2. (b) Let C' be the positively oriented circle given by |z| = 3. If g(z) is a function such that g(z) = [22-1-2ds for every 2 € C with [2] # 3, then find g(1) using the Cauchy integral formula.
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