Question 1

Evaluate i^96

Accepted Answer

1

Answer

i

Answer

-i

Answer

-1

Question 2

Find /e^iz/ if z=6e^i pi/3.

Accepted Answer

e^-3sq.rt of 3

Answer

e^-3/sq.rt of 3

Answer

e^-sq.rt of 3/3

Answer

e^ sq.rt of 3/3

Question 3

Evaluate (1 + i) to the exponent (1 - i).

Accepted Answer

2.82 + 1.32i

Answer

2.82 - 1.32i

Answer

-2.82 - 1.32i

Answer

-2.82 + 1.32i

Question 4

If zl = 1- i, z2 = -2 + 4i and z3 = sq.rt of 3 - 2i, evaluate Re (2z1^3 + 3z2^2 - 5z3^2)

Accepted Answer

-35

Answer

- 43

Answer

-25

Answer

-53

Question 5

Find all values of 1^sq.rt of 2.

Accepted Answer

cos(2sq.rt of 2kπ) + i sin (2sq.rt 2kπ)

Answer

cos(2sq.rt of 2+kπ) + i sin (2sq.rt 2+kπ)

Answer

cos(sq.rt of 2 +kπ) + i sin (sq.rt 2+kπ)

Answer

cos(sq.rt of 2kπ) + i sin (sq.rt 2kπ)

Question 6

Find all values of z for e^(4z) = i,

Accepted Answer

πi /8 + kπi/2

Answer

πi /2 + kπi/2

Answer

πi /2 + kπi/8

Answer

πi /8 - kπi/2

Question 7

Find log (3 + j4).

Accepted Answer

0.7 + j0.4

Answer

0.4 - j0.7

Answer

0.4 + j0.7

Answer

0.7 - j0.4

Question 8

Find the value of x for 4x+ 4 + i(xy^2 + x) = xy + 8 +i(x^2y + y)

Accepted Answer

2

Answer

-2

Answer

4

Answer

3

Question 9

What is –i^i?

Accepted Answer

-0.21

Answer

-4.81

Answer

4.81

Answer

0.21

Question 10

Simplify 12cis45 deg / 3cis15 deg.

Accepted Answer

2 sq.rt of 3 + j2

Answer

2 sq.rt of 3 – j2

Answer

3 sq.rt of 2 + j2

Answer

3 sq.rt of 2 – j2

Question 11

Evaluate log(2-5i)

Accepted Answer

0.7 – 0.5i

Answer

0.7 – 0.4i

Answer

0.7 + 0.4i

Answer

0.7 + 0.5i

Question 12

Simplify i^29 + i^21 + i.

Accepted Answer

3i

Answer

2i

Answer

-2i

Answer

-3i

Question 13

What is (1+i) raised to power 10?

Accepted Answer

32i

Answer

23i

Answer

52i

Answer

36i

Question 14

Find all values of lni.

Accepted Answer

i (2k + ½) π

Answer

i (2k + 1) π/2

Answer

πki/2

Answer

iπ/2

Question 15

Find all values of z for e^3z = 1,

Accepted Answer

2πk/3

Answer

2π/3

Answer

2πk i/3

Answer

2π i/3

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