Henry Lyons
05/01/2024 · Primary School
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: \( f^{\prime}(t)=-1 f(t)(5+f(t)) \) If there is 1 grams of solid at time \( t=2 \) estimate the amount of solid 1 second later.
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The estimated amount of solid 1 second later is 0.9 grams.
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