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5. During a chemical reaction, the function v = f() models the amount of a substance present. in grams, at time / seconds. At the
5. During a chemical reaction, the function v = f() models the amount of a substance present. in grams, at time / seconds. At the start of the reaction (1 = 0). there are 10 grams of the substance present. The function y = f() satisfies the differential equation dy - = -0.0232. + = 0 di (a) Use the line tangent to the graph of y = f (1) at ( = 0 to approximate the amount of the substance remaining at time ? = 2 seconds. (c) Find an expression for y = f () by solving the differential equation dy = - 0.02y with the initial condition S(0) = 10. (d) Determine whether the amount of the substance is changing at an increasing or a decreasing rate. Explain your reasoning
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