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## Homework Statement

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:

[tex]f'(t) = -4 f(t) ( 5 + f(t) )[/tex]

If there is 2 grams of solid at time t = 2 estimate the amount of solid 1 second later.

## Homework Equations

[tex]f'(t) = -4 f(t) ( 5 + f(t) )[/tex]

## The Attempt at a Solution

So I get [tex]f'(2)=-56[/tex] Not sure what to do after that, do I use a differential?