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Question 3 a) Write down the rst two terms in the Maclaurin series expansion of 1%. [2] b) Use your answer from a) to show

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Question 3 a) Write down the rst two terms in the Maclaurin series expansion of 1%. [2] b) Use your answer from a) to show that 61:3\" can be approximated by (1 a$)ea when a: is small. [3] c) The viscosity 110 of a uid is given by 110 = AeQ/TO where A and Q are constants and To is a particular temperature. The temperature now changes from TO by a small amount :13. Using the results above, show that the viscosity at this new temperature is approximately given by 220 ( 332\"). [3] [8 total]

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