Here are the examples we did in class today . We call this function the natural logarithm and denote it by ln x . Here are the examples we did in class today . This says that typically, neglecting special inhibiting factors, a population reproduces at a rate proportional to its current size. We also call uninhibited population growth exponential growth .
C e kt , where t denotes time.
As a special case, consider a continuously compounded investment . Here, P 0 is the amount of the initial investment, k is the interest rate as a decimal, n is the number of times each year the interest is compounded, and t is the number of years. Therefore, a continuously compounded interest account will grow exponentially. Here are the examples we did in class today . Suppose q denotes the quantity of goods sold and p is the price per unit of the goods.