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Academics – Mathematics : 2013/JUL/07

Question

Q7. (a) Given T = 1 + x/4 + 3375/x²

Calculate EACH of the following:

(i) the value of x such that T is a minimum; (8)

(ii) the minimum value of T. (2)

(b) Determine the first derivative of the following function: (6)

y = 8-√x + x^1.2- 12 sin⁡x - 6 cos⁡x - e^x+ 1/x

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