Solve the below:
Q: The temperature of a chemical reaction is given by the formula: T(t) = 8e-0.3(t-2)^2 + 7, where T is the temperature and t is the time in seconds since the reaction was started.
a) Draw a neat graph showing the reaction temperature during the first eight seconds of the reaction.
b) What is the maximum temperature reached during this reaction?
c) What is the maximum rate of increase in temperature achieved by this reaction? At what time is this rate achieved?