18 Chapter in Review Answers to selected odd-numbered problems begin on page ANS-46.

Answer Problems 1–12 without referring back to the text. Fill in the blank or answer true/false.

  1. The sector defined by −π/6 < arg z < π/6 is a simply connected domain. _____
  2. If f(z) dz = 0 for every simple closed contour C, then f is analytic within and on C. _____
  3. The value of dz is the same for any path C in the right half-plane Re(z) > 0 between z = 1 + i and z = 10 + 8i. _____
  4. If g is entire, then where C is the circle |z| = 3 and C1 is the ellipse x

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