You put a yam in a hot oven, maintained at a constant temperature of 200C. As the yam
Chapter 0, Problem 65(choose chapter or problem)
You put a yam in a hot oven, maintained at a constant temperature of 200C. As the yam picks up heat from the oven, its temperature rises.19 (a) Draw a possible graph of the temperature T of the yam against time t (minutes) since it is put into the oven. Explain any interesting features of the graph, and in particular explain its concavity. (b) At t = 30, the temperature T of the yam is 120 and increasing at the (instantaneous) rate of 2/min. Using this information and the shape of the graph, estimate the temperature at time t = 40. (c) In addition, you are told that at t = 60, the temperature of the yam is 165. Can you improve your estimate of the temperature at t = 40? (d) Assuming all the data given so far, estimate the time at which the temperature of the yam is 150
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