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3. (3 marks) A certain bacterial culture grows at a rate proportional to the number of bacteria present. If the culture contains 400 cells initially

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3. (3 marks) A certain bacterial culture grows at a rate proportional to the number of bacteria present. If the culture contains 400 cells initially and 700 after 24 hours, then approximately how many cells will there be after a further 12 hours? 4. (2 marks) Find the exact value of sin( 11x ) 5. (4 marks) Find the exact value of each a E [0, 27) for which sin(2x) = V3 cos(x)

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