A chemical reaction converts substance a to substance y at


Question: A chemical reaction converts substance A to substance Y . At the start of the reaction, the quantity of A present is a grams. At time t seconds later, the quantity of Y present is y grams. The rate of the reaction, in grams/sec, is given by

Rate = ky(a - y), k is a positive constant.

(a) For what values of y is the rate nonnegative? Graph the rate against y.

(b) For what values of y is the rate a maximum?

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Mathematics: A chemical reaction converts substance a to substance y at
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