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

(for \(0\le t\le 6\) ) in billion dollar, where t is measured in years, with t = 0 corresponding to 1999.

1. Show that f is increasing on the interval (0, 6)
2. Show that the graph of f is concave upward on (0, 6)
3. What do your results from parts (a) and (b) tell you about the growth of online travel spending over the years in question?

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