Suppose the temperature of a substance undergoing a chemical reaction is given by the formula T=0.1x2+2x where x is the

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answerhappygod
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Suppose the temperature of a substance undergoing a chemical reaction is given by the formula T=0.1x2+2x where x is the

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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).
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