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Question: You put a yam in a hot oven, maintained at a constant temperature of 200?C. As the yam picks up heat from the oven, its temperature rises.
(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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A mother wants to invest $9,000 for her son's future education. She invests a portion of the money in a bank certificate of deposit (CD account) which earns 4& and the remainder in a savings bond that earns 7%. If the total interest earned after o..
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