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1. The fish population in a lake can be modelled by the function p(t) = 2(t 2 + 10)(t + 2), where t is the

1. The fish population in a lake can be modelled by the function p(t) = 2(t2 + 10)(t + 2), where t is the time in years from now. Determine the rate of change of the fish population in 2 years.

2. Determine the slope of the tangent to the curve y = x^2/x^2-2 and the points (2,4)

3. If the slope of the tangent to the curve y = 3x2 + kx, where kEr at x = 2 is 8 , determine the value of k.

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