Let $\displaystyle {f{{\left({t}\right)}}}$ 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 $\displaystyle {t}$ can be determined from the weight using the forumula: $\displaystyle {f}'{\left({t}\right)}=-{4}{f{{\left({t}\right)}}}{\left({4}+{f{{\left({t}\right)}}}\right)}$


If there is 1 grams of solid at time $\displaystyle {t}={2}$ estimate the amount of solid 1 second later.

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