5) Using the Cauchy-Riemann equations, check out if the given function is analytic. Calculate f'(2), or explain its inexistence. a) f(z) = 2 coshz. b) f(z) = 21+|z|-2², c) f(z) =3e- 6) Evaluate the complex line integral (5z-Re(z+i))dz, where: a) L is the parabola's y=x' are that connects the coordinate origin with the point z = 2+8i; b) L is a straight line connecting the point z₁ =0 with the point z₂ =2+8i. 7) Evaluate the line integral cos 2z dz, where L is a straight line connecting the point z₁ =-i with the point z₁ = 3. 8) Using the Cauchy's integral formula, evaluate the given contour integral: zdz (z+1)(z-2)(z-2i)' where C: 2-3 2. a) - b) $ cosh z dz, where C: 2+1+1=3/2, (z+1)³ dz c) where C: 12-11-2 22-6z" d) § dz kur C:|z-21-1. (22+4)2)