The rate of weekly sales of a product that has just been released can be modelled by the following differential equation
`S^(′)(t)=500/(t+1)^3-250/(t+1)^2`
where `S` is the number of sales in thousands and `t` is the number of weeks since launch.
Good quality products will result in increasing sales.
- Find the function that describes the weekly sales. (2 marks)
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- By calculating the number of sales for the first and fifth week, comment on the results of the launch with respect to the given information. (2 marks)
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