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Academics – Mathematics : 2023/JUL/01

Question

Q1. a) Given Z = (Z₁ Z₂)/Z₁ + Z₂) + Z₃, determine Z in Cartesian form when Z₁ = 1 + j,

Z₂ = 1 - j2 and Z₃ = 0.6 - j1.2.

b) Solve the following complex equation for r and θ, where r and θ are real numbers:

r ∠ θ° = (6 ∠ 30°)/(1.2 ∠ 85°) + (3 ∠ 10° × 2 ∠ 25°)

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