(c) Evaluate (sin^6 z)/((z-(π)/(2))^2) dz where C is the circle |z| = 1.

Name: (c) Evaluate (sin^6 z)/((z-(π)/(2))^2) dz where C is the circle |z| = 1.
Uploaded: 2023-07-19T21:07:14-08:00
Duration: 15 s
Channel: Numerade
Description: (c) Evaluate (sin^6 z)/((z-(π)/(2))^2) dz where C is the circle |z| = 1.

Question

Shaiju T · Answer

Hello everybody we have given in this question 1 minus 5 z squared by z plus 3 i square multiply

Shannon K · Answer

According to the question&#x27;s first part, we are having minus 3 z, we&#x27;ll by z plus 2i, where dz ra

Adi S · Answer

use method of contour integration apply Cauchy&#x27;s integral formula that is integral f as a functi

Adi S · Answer

The given integral that is the integral over c, z plus 2 over z cube negative 4 z squared plus 4

Adi S · Answer

A circle with center is given as circle center 0 and 3 given as and the integration over this co

Question

(c) Evaluate $\oint_C \frac{\sin^6 z}{(z-\frac{\pi}{2})^2} dz$ where C is the circle $|z| = 1$.

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