1.Use the Intermediate Value Theorem to prove that f (x) = x3 9x + 5 has a real zero in each

of the following intervals: [4, 3], [0, 1] and [2, 3].

2. Carl and Mike start a 3 mile race at the same time. If Mike ran the race at 6 miles per hour and finishes the race 10 minutes before Carl, how fast does Carl run?