Postage on first class mail in the United States is based on weight. Each ounce is charged according to a table published by the US Postal Service. The FAQ below shows how to take this table and write out a piecewise function *P*(*x*), where *x* is the weight of the letter.

# Category Archives: Applied Calculus

# It’s Tax Time!

I just saw yesterday that the IRS is starting to receive tax returns for the tax year 2016…YIPPEE! In honor of this auspicious moment, I thought I would add a FAQ about how piecewise functions and taxes are related.

# How Do You Find The Derivative at a Point From the Definition?

# What is the Difference Between A Secant Line and a Tangent Line?

Many studentsÂ struggle with slopes of tangent lines versus slopes of secant lines. In the example below, I find these slopes and use them to compute the equation of a tangent line and the equation of a secant line.

The secant line is the red line to the right that passes through two points on the curve. The tangent line is the green line that just grazes the curve at a point.

# Make a Table of Values in Google Sheets

Suppose you want to generate a table of values from a formula…perhaps to help evaluate a limit. Google Sheets (or any spreadsheet) can quickly generate the values.