[6) 2. For times t 2 0, a certain temperature is given by the function T(t) = 1012 P0.3t where t is in minutes and T is in C. Before answering the questions below, use a graphing utility (desmos.com is good) to graph this temperature function for t'2 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). b) If this temperature is ever (at any instant) rising or falling at a rate greater than 5'C/min, then there is risk of equipment damage. Use your graphing utility to find the time intervals during which there is risk of equipment damage.(no work to show here; just give the intervals)