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Calculus IV
15.Functions of Several Variables
16.Multiple Integration
17.Vector Analysis
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Course: College Algebra
Topic: Exponential and Logarithmic Functions
Subtopic: Applications

Overview

In this lesson we apply the skill of solving exponential and logarithmic equations by translating growth and decay application problems into such an equation and then solving. The growth and decay applications include problems such as viruses spreading exponentially, nuclear waste decaying exponentially, and logarithmic learning curves. These will be important processes in calculus where our primary focus will be on the rate of change of this growth or decay.

Objectives

By the end of this topic you should know and be prepared to be tested on:

Terminology

Define: exponential growth, exponential decay, initial amount, growth constant "k", doubling time, carbon dating, compound interest, principle (in terms of money invested)

Text Notes

Be sure to practice a variety of applications exponential and logarithmic, growth and decay. You are expected to memorize the exponential growth model formula. You are not expected to memorize other application formulas (e.g. Newton's Law of Cooling, Logistic Growth Model), but you should know how to use them when applicable.

You may SKIP any "curve fitting" and "regression" examples/problems in this section and throughout the course.