Tag Archive: Tips

E-Maths Note: Quadratic Equations & Graphs

3 Different representations of a quadratic equation & its significance

y=3x^2 – x + 5 : typical quadratic equation : Max/Min & instant answer to y-intercept
y=(x+4)^2 – 1 : Completed Squ form : Great for solving equation

y=(x-3)(x+2) : Instant answer to x-intercepts aka roots

Since we are on this topic of quadratic, one of the most important aspects is quadratic graphs.
There is a software which I use often for plotting of all sorts of graphs!
Yes, what you need to do is to “feed” the software with the equation of the graph that you intend to plot!

Get your free software for plotting by clicking here >>
Graphmatica Software

Now you know how your teachers plot their nice nice graphs :)

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A-Math Integration of tan^2 x

Another question from O Level Additional Mathematics (A-Math).

lijun(: said…
i came across this qu that day, and i really want to clarify if the method i used is correct or not.int(tan^2x – x^3)

i changed it to int(sec^2x – 1 – x^3) instead, cos i don’t think we can integrate tan.

is that feasible?

Absolutely. Since tan^2 x can’t be integrated, you must think of alternative by making use of the relationship of tan^2 x + 1 = sec^2 x

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A-Math P & C Clarification

Another question from O Level Additional Mathematics (A-Math).

lijun(: said…
hey. i just want to clarify something that i’m not very sure of.

is nCr x r! = nPr ??

By definition,

nCr = nPr/r!

Well, I never remember this ‘rule’
For example, find the number of ways to form a 3 letter word from a,b,c,d,e

Student #1:
5C1*4C1*3C1

Student #2:
5P3

Both answers are correct though different approaches are taken, so no need to remember the ‘rule’

:)

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