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Q2. (a) The angular velocity, Ω of a connecting rod may be derived from the formula:

Ω = ωcosθ/√(n² - sin² θ)

(i) Transpose the formula to make n the subject. (6)

(ii) Evaluate n when Ω = 2.2 radians per seconds, ω = 10 radians per second and θ = π/4 radians. (4)

(b) Solve the following system of equations for x and y. (6)

x² + y² = 25

y = 1/2x + 1