Dr. Z.'s Intro to Complex Variable Real Quiz #9

Please Email DrZcomlex@gmail.com by April 23, 1:55pm

Call the file

q9FirstNameLastName.txt 

Subject: q9

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1. Use the Argument Principle (No credit for other methods) to find the number of zeros of

f(z)=z+i

(a) (3 points) In the  first quadrant {z: Re z>0, Im z>0}













(b) (3 points) In the second quadrant {z: Re z<0, Im z>0}










EXPLAIN!

2. (2 points) Can you use the argument principle to find the number of zeros of f(z)=z+i in the third quadrant?
   In the fourth quadrant? EXPLAIN!