Academics – Mathematics : 2010/DEC/07
Question
Q7. (a) The temperature T°C at a certain location t hours after 9 a.m. is given by the function:
T = t3/3 - 3t2 + 8t + 10
Calculate the time when the temperature starts to fall. (8)
(b) Given: S = 5 + 2sinθ + 3cosθ
(i) Determine the value of dS/dθ when θ = 2π/3 radians (4)
(ii) Solve dS/dθ=0 for θ in the range 0 ≤ θ ≤π/2 (4)
Asked in Year/Month/Ques No.
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