User Tools
urp:algebra
Differences
This shows you the differences between two versions of the page.
| Both sides previous revision Previous revision Next revision | Previous revision Next revision Both sides next revision | ||
|
urp:algebra [2021-11-08] nerf_herder |
urp:algebra [2021-12-19] nerf_herder [Functions] |
||
|---|---|---|---|
| Line 46: | Line 46: | ||
| S = n/2 (2a + (n − 1) d) | S = n/2 (2a + (n − 1) d) | ||
| + | Convergence of a power sequence: http://math.bu.edu/people/prakashb/Teaching/32LS10/Lectures/11-2.pdf | ||
| ====Factorial==== | ====Factorial==== | ||
| n! = n * (n-1)! | n! = n * (n-1)! | ||
| Line 70: | Line 71: | ||
| Graphing an inverse: reflection of the graph about the line y=x | Graphing an inverse: reflection of the graph about the line y=x | ||
| - | **horizontal and vertical asymptotes:** | + | **asymptotes** |
| y = (quadratic1 of x) / (quadratic2 of x) | y = (quadratic1 of x) / (quadratic2 of x) | ||
| * vertical asymptotes (VA) are when denominator goes to zero | * vertical asymptotes (VA) are when denominator goes to zero | ||
| Line 78: | Line 79: | ||
| * if n < k : HA = 0 | * if n < k : HA = 0 | ||
| * if n = k : HA = a/b | * if n = k : HA = a/b | ||
| + | * oblique (diagonal) - approaches the line y = mx+b | ||
| + | * look halfway down the page here: https://www.mathsisfun.com/algebra/rational-expression.html | ||
| + | * if power of x in numerator > power of x in denominator: asymptote = 0 | ||
| + | * if power of x in numerator = power of x in denominator: asymptote = horizontal, not zero (ratio of largest coefficients) | ||
| + | * if power of x in numerator = 1 less than power of x in denominator: asymptote = oblique (definition of line, from polynomial long division) | ||
| + | * if power of x in numerator > 1 less than power of x in denominator: asymptote = none | ||
| ====Interest, half life, amortization==== | ====Interest, half life, amortization==== | ||
urp/algebra.txt · Last modified: 2022-02-01 by nerf_herder
Page Tools
Except where otherwise noted, content on this wiki is licensed under the following license: CC Attribution-Share Alike 4.0 International
