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A Kiln Is Used to Heat Materials to High Temperatures [0,10][0,10]

Question 41

Essay

A kiln is used to heat materials to high temperatures. Graph each of the following functions on the interval [0,10][0,10] . Use [0,450][0,450] for the range of A(t)A(t) . Use a graphing calculator to determine the function that best describes the temperature of the material A(t)A(t) (in degrees Fahrenheit) tt minutes after it is placed in the kiln, if the initial temperature of the material was 50 degrees Fahrenheit.
(a) A(t)=550100e.1tA(t)=550-100 e^{.1 t}
(b) A(t)=550log(t1)A(t)=550 \log (t-1)
(c) A(t)=550500e.15tA(t)=550-500 e^{-.15 t}
(d) A(t)=t240t+550A(t)=t^{2}-40 t+550

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