On Wednesday at noon the weather was fair in Boston with a barometric pressure of 1018 mb. At the same time, a low-pressure storm system was passing by Buffalo, where the pressure was 996 mb. At noon Thursday the storm was approaching Boston, where the pressure was 1002 mb, while the weather was clearing in Buffalo and the pressure there had risen to 1014 mb. Use the result in Exercise 30 to prove that there was a time between noon Wednesday and noon Thursday when Boston and Buffalo had the same barometric pressure.

Data From Exercise 30

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(a) Assume that g and h are continuous on [a, b]. Use Corollary 2 to show that if g(a)