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Q4. (a) The potential drop, V millivolts, across an electrical component is given by:

V = 0.84e-αt sin βt

where α and β are constants, and t is the time in seconds after the actuating switch is closed.

Determine the potential drop when t = 40 seconds, α = 0.3 and β = 0.2. (6)

Note: the angle βt is in radians.

(b) Express the following in its simplest form: (6)

5∛(27a³ b⁶ ) + 3b√(16a² b² )-3a∜(b⁸ )

(c) Given:

y = (4 log⁡3)/(log⁡6 – log2)

evaluate y without using tables or calculator. (4)