4. (10 points) Section 4.3 Show that S f = 0, where C : |z| = V2 and a. f ( z) = ( 2 + 2) (22 + 3) b . f ( z ) = (z + sin z - 2) COS 2 5. (10 points) Section 4.3 Show that So, f = So, f, where C1 : |z| = 1 and C2 : |z| = 2 and a. f(z) = (222+ 32 + 4) sin z b . f ( z ) = ( 2 + i ) (ez + 1) 6. (10 points) Section 4.5 Evaluate the following integrals: a . (tan z + 1) Jo (22 -z) dz, where C : |z| = 1/2 b . 6 (cos z + ez ) Jo (2-1)4 4 dz, where C : |z - 1| = 1/2 7. (8 points) Section 4.6 Evaluate the following integral by using Causs' Mean Value Theorem. 2 T sec (eid ) do. 8. (8 points) Section 4.6 Let f(z) = z and R be the region (z + 1 + i)