EXERCISES 5.2 Answers to selected odd-numbered problems begin on page ANS-14. In Problems 1-16, evaluate the given integral along the indicated contour. 1. • f (z + 3) dz, where C is x = 2t, y=41-1,1≤1≤3 2. (2z-z) dz, where C is x = -t, y = r²+2,0≤1≤2 3. 4. z² dz, where C is z(1)=31+2it, -2≤1≤2 Se (3z² - 2z) dz, where C is z(t) = t + it², 0 ≤t≤1 •√(32² +1 5. Z 6. . ١١ 7. dz, where C is the right half of the circle [z] = 1 from z = -i to z = i |z² dz, where C is x =1,y= 1/1, 1st ≤2 Re(z) dz, where C is the circle [z] = 1 8. (z+i)³ 9. 10. 11. 5 z+i +8) dz, where C is the circle |zi|=1 √(x² + iy³)dz, where C is the straight line from z = 1 to z = i f(x² - iy³) dz, where C is the lower half of the circle [z] = 1 from z = -1 to z=1 · Led edz, where C is the polygonal path consisting of the line segments from z = 0 to 2 and from z = 2 to z = 1 +лi 12. sin z dz, where C is the polygonal path consisting of the line segments from z = 0 to z = 1 and from z = 1 to z=1+i 13. 1 Im (z-i) dz, where C is the polygonal path consisting of the circular are along [z] = 1 from z = 1 to z = i and the line segment from z = i to z = -1 14. dz, where C is the left half of the ellipse 2+ y² = 1 from z = 2i C 36 to z=-2i a 2πT πί + 74 73 1285 32 8 - C