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1) Solve the equation (2562 )1/3x 16x = 64x-3

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1) Solve the equation (256² )^1/3x 16^x = 64^x-3. Leave your answer as a simplified fraction.

2) A Ferris wheel of diameter 18.5 m rotates at a rate of 1/3 of a revolution per second. Passengers board the lowest car at a height of 3 m above the ground. Determine a sine function that models the height, 4, in metres, of the car relative to the ground as a function of the time, ¢, in seconds, beginning where a passenger boards the Ferris wheel.