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Q4. (a)The cost of pumping crude oil to a refinery is related to the radius of the transport pipeline.

For a pipeline of radius r centimetres, the cost per day, C in £thousands, is given by

C = r + 2025/r + 6

Calculate EACH of the following

(i) The radius which minimizes the cost;

(ii) The minimum cost per day.

(b) Determine the first and second derivatives of the function:

y = x³+ √x + 2e^x