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Q4. (a) The voltage drop across an electrical device can be calculated using the following equation:

V = 0.75e^-0.25t sin⁡0.1 t

where V is the voltage drop in millivolts and t is the time in seconds after the closure of the actuating switch.

Determine the voltage drop one minute after the closure of the actuating switch. (6)

(b) Determine the values of x and y which satisfy the following simultaneous equations: (10)

128x² y³ = 64

48x³ y² = 3