Let f(t) be the weight (in grams) of a solid sitting in
a beaker of water. Suppose that the solid dissolves in
such a way that the rate of change (in grams/minute)
of the weight of the solid at any time t can be
determined from the weight using the forumula:
f'(t) = −5f(t)(6+ f(t))
If there is 2 grams of solid at time t = 2 estimate the
amount of solid 1 second later.
grams