EEITG11D Oral Quiz 5

Simplify: (3+2i)^5

• 597 + 122i

• 597 - 122i

• -597 + 122i

• -597 - 122i

If A = 4+j3, B = 6e^(j0.225) and C = 4cis(-70 degrees), then evaluate the value of A + 2B - 3C. Express your answer in rectangular form with 3-decimal places.

• 11.59 + j16.95

• 11.59 - j16.95

• -11.59 + j16.95

• -11.59 - j16.95

Solve for y in the equation below:
2x+5y + (3x - 10y)i = 15 + 18i

• 9/35

• -9/35

• 48/7

• -48/7

Simplify: i^2020 + i^2021 + i^2022 + i^2023 + i^2024

• 0

• 1

• i

• -i

Find the principal cube root of 8 + 27i.

• 2.77 + 1.26i

• 2.77 - 1.26i

• -2.77 + 1.26i

• -2.77 - 1.26i

Simplify (1 + i)^(1 - i)

• 2.81 + 1.32i

• 2.81 - 1.32i

• -2.81 - 1.32i

• -2.81 + 1.32i

Simplify the expression ln(2-3i).

• 1.28 - 0.98i

• -1.28 - 0.98i

• 1.28 + 0.98i

• -1.28 + 0.98i

Simplify: sinh(0.333i)

• 0.327i

• -0.327i

• 0.372i

• -0.372i

Simplify: cos(0.52 - 0.45i)

• 0.96 + 0.23i

• -0.96 + 0.23i

• 0.96 - 0.23i

• -0.96 - 0.23i

Find the coefficient of x^3 in the Taylor series expansion of 2/(x - 1)^3 centered at x = 0.

• 12

• -12

• 20

• -20