i0₁ If z₁ = r₁e and Z₂ = r₂e O Choose the correct answer below. O O 1 i(0₁ + 0₂) 11 0₁ i A 1 i(0₁.0₂) 2 i0₂ i(0₁-0₂) Z₁ are complex numbers. Then, Z2 , Z2 #0, equals which of the following?

1. What are the parts of a complex number? Real (x) a. b. Imaginary (y) C. d. None Re (x) and Im (y) 2. For a complex number z = x + iy, if x = 0, iy purely imaginary. a. True b. False 3. What is the complex conjugate of 3 + 4i? a. 3 b. 4i C. 3 - 4i d. 13 + 4i| 4. Multiplying a complex number by its complex conjugate gives a real number. a. True b. False 5. What is the distance of the complex point (z) on the argand plane from the origin? a. Imaginary part b. Real part Argument of z Modulus of z c. d.

Give an example of a complex number where z7 = 1 but z ≠ 1.

1. Write the complex number i+ in the form of rele.

find the real and imaginary parts of the following complex number

Let -[-21]. Find formulas for the entries of M", where n is a positive integer. (Your formulas should not contain complex numbers.) M" M=

Write the following complex numbers in the form a+ib: 5 e7 1/4 + i %D 2 e7 n/6 + i %D 7 e'5 t/3 + i 4 ein + i II II

2. Write the given complex numbers in the form a + bi. 3 (a) + - (b) 2;ª + ()" + 5i 5 - 12i (c) 2-4i 3+5i (d) (3-i)(2+3i) 1+i

Find the principle value

7. Find the following quotient. Write the answer in the standard form. Do not use the trig form. HINT: Use the complex 4- 7i conjugates: -2 - 9i