In the fairy tale "Jack and the Beanstalk", Jack plants a magic bean before he goes to bed. In the morning, Jack
discovers a giant beanstalk that has grown so large, it disappears into the clouds.
But here is the part of the story you never heard. Written on the bag containing the magic beans was this note.
Plant a magic bean in rich soil just as the sun is setting.
Do not look at the plant site for 10 hours. (This is part of the magic.)
After the bean has been in the ground for 1 hour, the growth of the sprout can be modeled by the
function b(t) = 3t (b in feet and t in hours).