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 timet can be determined from the weight using the forumula: f'(t) = -3f(t)(2+ f(t)) If there is 4 grams of solid at time t = 2 estimate the amount of solid 1 second later. grams

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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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 timet can be
determined from the weight using the forumula: f'(t) =
-3f(t)(2+ f(t))
If there is 4 grams of solid at timet
2 estimate the amount of solid 1 second later.
grams
Transcribed Image Text: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 timet can be determined from the weight using the forumula: f'(t) = -3f(t)(2+ f(t)) If there is 4 grams of solid at timet 2 estimate the amount of solid 1 second later. grams
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