1. Determine the domain of analyticity for the following functions, and conclude that ƒ ƒ(2)dz - O where C is the circle a-1 with positive orientation (counter-clockwise). (A)/(x)- (b)(a)- (c) f(z) - tanz (d) f(z) = Ln(+5) 2. Show that 'dz - 21, where C is the square with vertices 1±1,-1±1 with positive orientation. 3. Show that √(422-4x+5)-³dz = 0 where C is the unit circle [2] - 1 with positive orientation. 4. Find feed for the following contours: (a) The circle |-1-2 with positive orientation. (b) The circle | -1] -with positive orientation. 5. Find fd for the following contours: (a) The circle -2 with positive orientation. (b) The cirlce with positive orientation. 6. Evaluate fdz, where C is the "figure-eight" contour shown. コ The "pure eight co 9. Evaluate fods for the contours given in the following figures. C

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