Consider a tank with volume 100 liters containing a salt solution. Suppose a solution with 2 kg/liter of salt flows into the tank at a rate of 5 liters/min. The solution of the tank is well-mixed. Solution flows out of the tank at a rate of 5 liters/min. If initially there are 20 kg of salt in the tank, how much salt will be in the tank as a function of time? ANS. y(t) = 200 – 180e-0.05t

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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.