Show that the graph of f is concave upward

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Question: ONLINE HOTEL RESERVATIONS The online lodging industry is expected to grow dramatically. In a study conducted in 1999, analysts projected the U.S. online travel spending for lodging to be approximately

f(t) = 0.157t2 + 1.175t + 2.03            (0 ≤ t ≤ 6)

Billion dollars, where t is measured in years, with t 0 corresponding to 1999 .

a. Show that f is increasing on the interval (0, 6).

b. Show that the graph of f is concave upward on (0, 6).

c. What do your results from parts (a) and (b) tell you about the growth of online travel spending over the years in question?

Reference no: EM131564188

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