{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}


Handout_10_EXPONENTIAL FUNCTIONS - There exists a certain...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
There exists a certain irrational number e = 2.718281828 … , which arises naturally in a variety of mathematical situations (much the same way that the number π appears in the problems related to a circle). Perhaps the most useful exponential functions are f(x) = e x and f(x) = e -x*x (the graphs of these functions resemble the curves in Fig 1a and Fig. 2). Exponential Growth Function . Under normal conditions, growth is described by the function f(t) = y 0 e kt , where f(t) is the amount of quantity present at time t , y 0 is the amount present at time t = 0 , and k is a rate constant that characterizes the rate of growth (at k > 0). If k < 0 , then this function describes the exponential decay . Exponential functions play an important role not only in mathematics, but also in business, economics, biology, physical and social sciences, and other areas of study. For example, if you invest the principal P in your bank, then the compound amount S of this principal the end of n interest periods (years) is given by the formula S = P(1 + r) n , where r
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}