26. A bacteria colony initially has a population of 14 million bacteria. Suppose that t hours later the population is growing at a rate of f(t) = 2' million bacteria per hour. (a) Give a definite integral that represents the total change in the bacteria population during the time from t = 0 and t = 2. Solution: 2' dt Total change in the bacteria population million bacteria (b) Find the population at time t = 2. Solution: 2° dt - 14+4.328 = 18.328 million bacteria The population at time t = 2 is 14+

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.