Connected rates of change

Connected rates of change

6 marks
TGM Original
A cooling sensor has temperature T=20+40e-0.2u degrees Celsius, where u is an adjustable control reading. The reading increases at 0.5 units per second. Find the temperature rate when u=3, to 3 significant figures.

Solution:

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Answer:\(\dfrac{\mathrm{d}T}{\mathrm{d}t}\approx-2.20\ ^\circ\mathrm{C/s}\).

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