Continuous Interest – Find the Initial Investment Needed

This video provides an example of how to find the initial investment needed to have a given amount in an account that pays continuous interest.

Ex 3: Find the Value of c to Make a Piecewise Defined Function Continuous Everywhere

This video explains how to determine what the intervals must be for each piece of a piece-wise defined function must be in order for the function to be continuous everywhere.

Ex 2: Find the Value of Constant to Make a Piecewise Defined Function Continuous Everywhere

This video explains how to determine the value of a constant in a one of the function rules of a piece-wise defined function in order for the function to be continuous everywhere.

Ex 1: Find the Value of Constant to Make a Piecewise Defined Function Continuous Everywhere

This video explains how to determine the value of a constant in a one of the function rules of a piece-wise defined function in order for the function to be continuous everywhere.

Exponential Function Application (y=ae^(kt)) – Bacteria Growth

This video explains how to determine an continuous exponential growth function from information given about bacteria growth.

Ex: Rewrite Exponential Functions: y = ae^(kt) to y = ab^t

This video explains how to convert between different forms of exponential functions.

Ex: Rewrite Exponential Functions: y = ab^t to y = ae^(kt)

This video explains how to convert between different forms of exponential functions.

Find the Region that a First Order Differential Equation Has a Unique Solution at a Point – Part 1

This video explains how to determine the region in the xy plane that a first order differential equation would have a unique solution through a point.

Find the Interval That a Linear First Order Differential Equation Has a Unique Solution

This video explains how to determine the interval that a first order differential equation initial value problem would have a unique solution.

Find the Region that a First Order Differential Equation Has a Unique Solution Through a Point – Part 2

This video explains how to determine the region in the xy plane that a first order differential equation would have a unique solution through a point.