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For 3u, is implicit differentiation a viable method for finding dx/dy i.e. is it accepted in the HSC

The straight line y = mx+b meets the parabola x = 2At, y= At^2 in real distinct points P,Q which correspond respectively to the values t = p, t = q a. prove that pq = -b/a I'm sure the solution is really simple, but I can't see it.

What is the HSC standard for the minimum word count that could potentially receive full marks for an essay? And what would that roughly equate to in terms of typed pages/words? thanks.

Question: "Analyse the importance of : -international trade -foreign direct investment in China's economic development" I am struggling to link the statistics I have (such as increases in exports/imports etc.) on how those factors are important in China's economic development.

If the points A,B,C,D represent the complex numbers α,β,γ,δ respectively and (a) α+γ=β+δ , show that the points are vertices of a parallelogram

With the dotpoint "Discuss the issues associated with safe re-entry into the Earth's atmosphere and landing on the Earth's surface", would it specifically be referring to spacecrafts or space shuttles or maybe something else? - making sure I get all the right technicalities for my phys assignment

Show that sin^3x(cos^2x) = 1/16 (2sinx +sin3x -sin5x) (using the fact that z + 1/z = 2cosx, and z - 1/z = 2isinx) My approach was to expand LHS into sin^3x (1-sin^2x) = sin^3x - sin^5x = (z - 1/z)^3 - (z - 1/z)^5 (then expand and simplify) Is this a viable method? The suggested...

In what cases is it required to split an integral into seperate components in order to get the appropriate answer. Some questions I find require you to split a single integral into two or more parts. Is there a general case in which this applies?

http://m.imgur.com/SeuqmHu Idk what to do for the first one For the second, I used sum of gp, but couldn't get the answer. Answers are 16root2(cos^4(pi/16)) and (1+root2)i respectively *edit - for the second q, mistakenly took n to be 20 instead of 21.

For the argument component, it is stated that theta = 2kpi / n For example, if z^3 = 1, the arguments are 0, 2pi/3 and 4pi/3 What happens to negative numbers, such as z^3 = -1? Is it the same thing, but for odd numbers such as pi/3 , pi, 5pi/3? Thanks.

In what ways has the World Bank contributed to Globalisation?

Hello, I need some guidance with this q http://imgur.com/TtisiTV The algebra is putting me off.

1. Define the process of globalisation and explain how it has affected people's lives For the bolded part, what do I talk about? Does this include the main indicators of globalisation, such as: *Financial, trade and investment flows *Movement of workers between nations *Technology...

Hello, I have come across this question, and don't know where to start: - Prove that for any natural number n, 2(√(n-1)-1) < 1+ 1/√2 +...+ 1/√n < 2√n http://imgur.com/jif1ZMR for an inequality like this, what is the best approach? For the k+1 step, i'm assuming bringing them all to a single...

For proving inequalities by induction, at what point can you finally say that the statement is true? For example, for the question 1 + 1/2 + 1/3 + ... + 1/n < √(n), for n >= 7 I proved true for n = 7, then assumed n = k but for proving true for n = k+1, what exactly do I have to do...

Prove by induction that the sum of the angles of a polygon with n sides is n-2 straight angles. I don't know how to express this into an equation.

Are there currently any HSC Physics by topic documents in existence? The one on the thread currently sticked on this forum was apparently removed. If not, I can make and post a new version

It has become increasingly apparent to me that accelerants generally do better than normal math students. So, I thought that learning content at an earlier stage would allow more time for concepts to sink in, thus, leading to a better outcome. my question is: What is better? - Learning...

"If α, where α is a non-real complex number, is a root of the equation ax^2 + bx + c = 0, where a,b and c are real, prove that its conjugate (conjugate of α) is also a root." Can someone please explain to me step by step how to solve the q

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...