Suppose the temperature of a substance undergoing a chemical reaction is given by the formula T=0.1x2+2x where x is the
Posted: Wed Jul 06, 2022 12:30 pm
Suppose the temperature of a substance undergoing a chemicalreaction is given by the formula T=0.1x2+2x where x is thenumber of seconds since the reaction started.
(a) Find the average rate of change over the first5 seconds of the reaction.
(b) Write out a limit which, if evaluated, would give theinstantaneous rate of change 5 seconds after the start of thereaction (HINT: use the limit definition of the derivative).
(c) Evaluate the limit from part (b).
(a) Find the average rate of change over the first5 seconds of the reaction.
(b) Write out a limit which, if evaluated, would give theinstantaneous rate of change 5 seconds after the start of thereaction (HINT: use the limit definition of the derivative).
(c) Evaluate the limit from part (b).