**Three way tug of war vectors**:

## Tuesday, November 25, 2014

## Tuesday, November 18, 2014

### Geometric series convergence and divergence examples

Convergence occurs when 0< |r| <1

**Geometric series convergence and divergence examples**:## Wednesday, November 12, 2014

### One-sided limits from graphs

## Monday, November 10, 2014

### Function as geometric series

## Saturday, November 8, 2014

### Tangent slope as limiting value of secant slope example 1

## Sunday, November 2, 2014

### Relatively prime numbers

In number theory, two integers

For example, 14 and 15 are coprime, being commonly divisible by only 1, but 14 and 21 are not, because they are both divisible by 7.

*a*and*b*are said to be**relatively prime**,**mutually prime**, or**coprime**(also spelled**co-prime**)^{[1]}if the only positive integer that evenly divides both of them is 1. That is, the only common positive factor of the two numbers is 1.For example, 14 and 15 are coprime, being commonly divisible by only 1, but 14 and 21 are not, because they are both divisible by 7.

## Wednesday, October 29, 2014

### Trapezoidal Rule to find the average value of f(x)

From http://www.intmath.com/integration/5-trapezoidal-rule.php

Area≈21(y0+y1)Δx+21(y1+y2)Δx+21(y2+y3)Δx+

Area≈Δx(2y0+y1+y2+y3+…+2yn) for uniform grid

The trapezoidal rule finds the area. To get the average

value, you will need to divide the area by b-a which is the

the difference between the final and initial x values.

Area≈21(y0+y1)Δx+21(y1+y2)Δx+21(y2+y3)Δx+

Area≈Δx(2y0+y1+y2+y3+…+2yn) for uniform grid

The trapezoidal rule finds the area. To get the average

value, you will need to divide the area by b-a which is the

the difference between the final and initial x values.

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