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Q5. (a) Draw the graph of T in the range 1.2 ≤ R ≤ 2.2 in intervals of 0.2. (8)

T = 10/R² lnR

Suggested scales:      horizontal axis 2 cm = 0.2

vertical axis 2 cm = 0.1

(b) Using the graph drawn in Q5(a), determine EACH of the following:

(i) the value of R such that T is a maximum; (2)

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

(c) Given dT/dR = 10/R³ (1-2 lnR)

Using this derivative function, determine the value of R, correct to three decimal places such that T is a maximum. (4)