The length l metres of a certain metal rod at temperature θ◦C is
given by l = 1 + 0.00004θ + 0.0000005θ2.
Determine the rate of change of length, in mm/◦C, when the
temperature is:
a) 100◦C
b) 300◦C.
Answer (a) = 0.14 mm/℃
(b) = 0.34mm/℃
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