Statistics Solutions

[Solution] Furnishing a sketch of the curve you are integrating over, integrate the following: a. ∲_C(cos 4z)/(z^3(4z-π))dz counterclockwise

Question: Furnishing a sketch of the curve you are integrating over, integrate the following:

a.

\[\oint\limits_{C}{\frac{\cos 4z}{{{z}^{3}}\left( 4z-\pi \right)}dz}\]

counterclockwise around the circle |z - 1| = 1/2


c. \(\oint\limits_{C}{\frac{{{e}^{z}}}{\left( z{{e}^{z}}-2iz \right)}dz}\)

where C is the circle |z| = 0.5, counterclockwise.

d. \(\oint\limits_{C}{\left( \frac{4}{z+2i}+\frac{2}{z+4i} \right)dz}\)

clockwise around the circle |z - 1| = 2.5


e. \(\oint\limits_{C}{\frac{{{z}^{3}}{{e}^{z}}}{{{\left( 2z-1 \right)}^{3}}}}\)

counterclockwise around the unit circle.

Price: $2.99
Solution: The downloadable solution consists of 6 pages
Deliverable: Word Document


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