Academics – Mathematics : 2013/MAR/07
Question
Q7. (a) The efficiency, η, of a steam turbine is given by:
η = 4(nρ cosα -n2 ρ2 ) where n and α are constants.
Determine EACH of the following:
(i) the value of ρ such that η is a maximum; (8)
(ii) the maximum value of η. (2)
(b) Determine the first and second derivatives of the following function: (6)
y = 5 sin x+ 6x3 - 2x√x
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