In a chemical reaction, one unit of compound Y and one unit of compound Z are converted

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In a chemical reaction, one unit of compound Y and one unit of compound Z are converted into a single unit of compound X. Let x be the amount of compound X formed. The rate of formation of X is proportional to the product of the amounts of unconverted compounds Y and Z. So, dx/dt = k(y0 - x)(z0 - x), where y0 and z0 are the initial amounts of compounds Y and Z. From this equation, you obtain


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(a) Solve for x as a function of t.(b) Use the result of part (a) to find x as t ∞ for(1) y00, 


(2) y0 > z0,


(3) y0 = z0.


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Calculus Of A Single Variable

ISBN: 9781337275361

11th Edition

Authors: Ron Larson, Bruce H. Edwards

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