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# In a chemical reaction, substance A combines with substance B to form substance Y . At

## Problem 47 Chapter 4.3

Applied Calculus | 5th Edition

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Applied Calculus | 5th Edition

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Problem 47

In a chemical reaction, substance A combines with substance B to form substance Y . At the start of the reaction, the quantity of A present is a grams, and the quantity of B present is b grams. At time t seconds after the start of the reaction, the quantity of Y present is y grams. Assume a < b and y a. For certain types of reactions, the rate of the reaction, in grams/sec, is given by Rate = k(a y)(b y), kis a positive constant. (a) For what values of y is the rate nonnegative? Graph the rate against y. (b) Use your graph to find the value of y at which the rate of the reaction is fastest.

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