I am currently learning about this very powerful calculus tool. This tool is of great value in simplifying some functions prior to differentiation. I will try to explain simply in my own words. What are logarithms? Logarithms were invented by John Napier (1550-1617) for the purpose of simplifying calculation; basically ...
Month: May 2023
An Interesting Algebra ProblemAn Interesting Algebra Problem
The following Algebra problem is taken from one of the American Mathematics Competitions (AMC 10) Preparation books. It is notable that this is one of many books helping 10th grade students get ready for math olympics competition. The problem is, in my estimation, of medium difficulty. It is really an ...
Using Vectors to Find Cable Tension (another example)Using Vectors to Find Cable Tension (another example)
I have been concentrating on vectors lately because I need to obtain a certain level of proficiency with them in order to study college-level physics. The physics textbook I am using gets heavy on vectors right on chapter one. So, here’s another problem using vectors: a 5,000-pound load is lifted ...
Using Vectors to Find Cable TensionUsing Vectors to Find Cable Tension
Today I want to show an exercise demonstrating the use of vectors that is so complicated that a graphing utility is required to solve it, and yet, the underlying principle is simple once the basic nature of the problem is understood. Two cranes are lifting an object that weighs 20,240 ...