By failing to prepare, you are preparing to fail.
/Tag: Extension
22 03, 2017

## Proving Inequalities

By |2017-03-22T10:17:29+10:00March 22nd, 2017||0 Comments

Proving Inequalities worked examples Prove $\left( {a + b} \right)\left( {\frac{1}{a} + \frac{1}{b}} \right) \ge 4$ for a > 0 and b > 0. Consider (√a – √b)2 ≥ 0 since all square numbers are positive, it is a true statement to say that any perfect square will be larger than [...]

8 02, 2017

## Zeroes & Multiplicity

By |2019-04-25T07:53:53+10:00February 8th, 2017|Tags: , , |0 Comments

Zeroes/Roots & Multiplicity Go to the Forum to see more questions or ask your own Formulas Used in Roots & Multiplicity zeroes, are the roots, or solutions to the equation P(x) Number of Roots The maximum number of roots a Polynomial can have is equal to the degree of that polynomial [...]

22 12, 2016

## Inverse Differentials

By |2016-12-22T12:24:14+10:00December 22nd, 2016||0 Comments

Inverse Differentials $\frac{dx}{dy}\times\frac{dy}{dx}=1$ worked examples For the function y = 2x + 4, find: a. the inverse function b. $\frac{dy}{dx}$ of the inverse function c. $\frac{dx}{dy}$ of the inverse function d. Show that $\frac{dx}{dy}\times\frac{dy}{dx}=1$ a. x = 2y + 4 x - 4 = 2y f-1: y = ½x - 2 rewrite [...]

26 11, 2016

## Inverse Trig Domain & Range

By |2016-11-26T05:53:19+10:00November 26th, 2016||0 Comments

24 11, 2016

## Arranging Letters

By |2019-03-01T16:51:41+10:00November 24th, 2016||0 Comments

Arranging Letters Go to the Forum to see more questions or ask your own Formulas used in Arranging Letters With no repeats: $n!$ With repeats: $\frac{n!}{p!r!...}$ Grouping letters together: to count the placement of the grouping (n - g + 1), where n is the number, g is the number [...]