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For Newton's method for approximation, my teacher suggested that you should calculate the value for each component first, then sub into calculator, such as f(a) = 3.223 f'(a) = 5.977 In her explanation, she said that if it is a three mark question, then one mark would be awarded for this...

Hi, Joshm, -Mx1,Mx2 -Adv Eng -Eco -Phys Adv math or Mining engo @ UNSW

Also, by definition, isn't a trapezium defined by a shape with one pair of parallel sides? o.o.

Wow, so it was the diagram that put everyone off...

Realistically, an "earth embankment" shouldn't be a trapezium.. this is clearly an irregular shape

Um the problem that by using this method, you would have to find the value of the other leg of the trapezium to use the formula A = 1/2 h (a+b) Even if you worked the area out, you will still be stuck with a triangle, with unknown sizes and angles

Sorry about the wrong solution, I will type up worked solutions right now. This is how i worked it out: http://imgur.com/kgAWciw Is the answer right? This is clearly not the efficient way to solve the Q.

My solution was wrong. The 27 is used at the end after you have found the area of the shape.

One more thing, Given that z = x+yi, where x, y are real numbers. If (iz-1)/(z-i) is a real number, show that when (x,y) =/ (0,1), x^2 + y^2 =1

Can you please clarify this method to me? what's the purpose of doing this? So you manipulate the terms inside to bracket to safely remove the square root?

I tried to understand this method, but I'm not good at manipulating equations into fractions like that :(

Weirdly enough, i'm starting next week o.o

How do you work out the square root of 12-5i ? By doing sqrt (12-5i) = a+ib and solving simultaneously, he result is a crazy quartic eqn which can be difficult to find the roots. What is the simplest way of approaching this q? Thanks.

Okay, I'll survive till then. Thanks.

How do you use the syllabus to compile your notes?

Apparently they have "watermelon" uniforms

Burn them. Burn them all

Do not waste your time on the 3u sections. The simple solution is following the 2u syllabus.. There is no harm in using a 3u book, and imo, there are a few benefits. 3u books are generally harder than 2u books. Also, it is just considered as an extended 2u course, so they should also have...

Ok cool, i'll keep that in mind

Waow.. so simple