The rate at which the remainder of a substance dissolves in a small quantity of water is inversely proportional to the weight, w grams of the substance already dissolvod. Initially, there are 20 grams of the undissolved substance. Show that after Lime t scoonds, the eitestirn can be modelled by the difforential cquation (a) (20-w)= dt where k is a positive constant. Afler I second, 6 grams of the substance have disolved. Show that w- 36t Hence , find (0) (1) the weight of the substance remaining undissolved after 4 seconds. (ii) the time taken for 18 grams of the substance lo be dissolved.
The rate at which the remainder of a substance dissolves in a small quantity of water is inversely proportional to the weight, w grams of the substance already dissolvod. Initially, there are 20 grams of the undissolved substance. Show that after Lime t scoonds, the eitestirn can be modelled by the difforential cquation (a) (20-w)= dt where k is a positive constant. Afler I second, 6 grams of the substance have disolved. Show that w- 36t Hence , find (0) (1) the weight of the substance remaining undissolved after 4 seconds. (ii) the time taken for 18 grams of the substance lo be dissolved.
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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