topics / holidays completion (1 Viewer)

[hasterz]

How much are you guys planning to have completed my the end of these holidays?

 

[sydneyphoenix]

Math during holiday

I've more or less gone through all the 3U stuff, and would spend rest of the holiday doing past papers.
As for 4U, I think I would pass over mechanics, volume and harder 3U for a time being, and go through Cambridge on other chapters.
By the way, which text do you reckon's better, Fitzpatrick or Cambridge?

 

[hasterz]

woah man your like so ahead
did u do accelerated?

oh and Cambridge > fitz hands down

 

[Slidey]

Complex Numbers
Polynomials
Graphs

 

[Tuna]

How can you draw this?

1. f(x) = cosx.e^-x
Can you please draw this in paint.

2. f(t) = 5/ ( 2+3.e^-t) , t equals to or more than 0.
Show that f ' (t) > 0 for all values of t in the domain. How could you do this?
Do we show 0 doesn't work but works for 1, 2, 3....?

 

[Affinity]

f'(t) = [ - 5 / (2 + 3e^(-t) )^2 ] * [ -3 e^(-t) ]
= 15e^(-t) / (2 + 3e^(-t) )^2

the numerator and denominators are both positive, f' > 0 follows.

 

[Slidey]

How can you draw this?

1. f(x) = cosx.e^-x
Can you please draw this in paint.

2. f(t) = 5/ ( 2+3.e^-t) , t equals to or more than 0.
Show that f ' (t) > 0 for all values of t in the domain. How could you do this?
Do we show 0 doesn't work but works for 1, 2, 3....?

For question 1, look up graphing by multiplication of ordinates in the Graphs topic.

For question 2...

f(t)=5.(3.e^-t + 2)^-1, t>=0
(3.e^-t+2)'=-3.e^-t
.'. f'(t)=5*-1*-3.e^-t*(3.e^-t+2)^-2
f'(t)=15.e^-t/(3.e^-t+2)^2

Numerator is positive. Denominator is positive. Numerator can never equal zero, .'.' f'(t) > 0

 

[grimreaper]

haha by the end of these holidays last year I hadnt even completed a single 4u topic.. we were still doing complex numbers. And we were behind in 3u as well

 

[Trev]

we hav to hav polynomial chapter finished - urgh

 

[ishq]

Complex Numbers and Graphs - I thought that was a fair bit.
Has anyone here done Exc 2.6 in Terry Lee? That took me about 10 hours...and a lot of frustration and crazy slamming of pens and hair pulling...