2. For times t > 0, a certain temperature is given by the function T(t) = = where t is in minutes and T is in °C. 10t² e €0.3t Before answering the questions below, use a graphing utility (desmos.com is good) to graph this temperature function for t≥ 0. Think about how the graph of dT/dt should look. Display the graphs of T(t) and dT/dt together and see how accurate your thoughts were. a) Use calculus and hand-calculations to find an exact expression for the maximum temperature that is reached (your answer will involve e).
2. For times t > 0, a certain temperature is given by the function T(t) = = where t is in minutes and T is in °C. 10t² e €0.3t Before answering the questions below, use a graphing utility (desmos.com is good) to graph this temperature function for t≥ 0. Think about how the graph of dT/dt should look. Display the graphs of T(t) and dT/dt together and see how accurate your thoughts were. a) Use calculus and hand-calculations to find an exact expression for the maximum temperature that is reached (your answer will involve e).
Chapter2: Functions And Their Graphs
Section2.4: A Library Of Parent Functions
Problem 47E: During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate...
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Transcribed Image Text:2. For times t > 0, a certain temperature is given by the function T(t) =
€0.3t
10t²
where t is in minutes and T is in °C.
e
Before answering the questions below, use a graphing utility (desmos.com is good) to graph this
temperature function for t≥ 0. Think about how the graph of dT/dt should look. Display the
graphs of T(t) and dT/dt together and see how accurate your thoughts were.
a) Use calculus and hand-calculations to find an exact expression for the maximum temperature
that is reached (your answer will involve e).
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