exists and is bounded for all . We're told that . Consider the interval [0, 3]. The mean value theorem says that there is some such that
Since , we have
so 19 is the largest possible value.
60 degrees. All angles add up to 180 degrees.
(6.4 x 10^8 meter/sec) x (1 km / 1,000 meter) x (3,600 sec/hour) =
(6.4 x 10^8 x 3,600 / 1,000) km/hour =
177-7/9 km/hour
1.5 cups per cup. cups/cake
6 cups/ 4 cakes
= 1.5 cups per cake