ASSIGNMENT 1

Many different kinds of data can be modeled using exponential and logarithmic functions. For example, exponential functions have been used by Thomas Malthus to describe the growth of human populations. Exponential growth has also been used to indicate how property values grow in strong real estate markets.

For this Discussion Board, create a set of data that can be modeled as y = exp (x); provide a reference to the data. Plot the data using Excel, including the equation for the fit. Do the same for data that can be modeled using y = log(x) .

ASSIGNMENT 2

Human populations can be modeled using an exponential growth function. Use the internet for research or other resources to find the following:

• Current World Population
• Current United States Population
• Current Growth Rate of the World Population
• Current Growth Rate of the United States Population

Starting in the current year, determine the following:

1. Based on current growth rates, how long will it take the World Population to reach exactly 7 Billion? How long to reach exactly 10 Billion?
2. Based on current growth rates, how long will it take for the United States population to reach exactly 400 million? How long for exactly 500 Million?

ASSIGNMENT 3

Matrices are the most common and popular way to solve Systems of Equations.

Provide an example of a Matrix that can be solved using Gaussian Elimination.

1. Show specifically how row operations can be used to solve the Matrix.
2. State the Solution.
3. Substitute the solution back into the Equation to verify the Solution.

ASSIGNMENT 4

Matrices have a number of interesting mathematical attributes, such as their dimensions, how they can be derived from linear systems, and the kinds of operations that can be performed on them.

Copy the questions to a Microsoft Word document and use an equation editor to enter the answers. Please answer the following questions about matrices.

2) You are given the following system of Linear Equations:

3x – 2y + z =2

-x + y = 3

-2y + 6z =1

1. Provide a Coefficient Matrix to the System of Linear Equations.
2. What is the Transpose of this Matrix?
3. Find the Determinant for this Matrix.

1. Solve the following Linear System for using X using Cramer’s rule.

SHOW WORK

4 x – y + z = -5

2 x + 2 y + 3 z = 10

5 x – 2 y + 6 z = 1

Price: $22.09

Solution: The downloadable solution consists of 12 pages, 1009 words and 3 charts.
Deliverable: Word Document