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I forgot how to do induction involving inequlities... $(i) Solve for x^2 > 2x + 1 \\ \\ $ $ (ii)Prove by mathematical induction that 2^n > n^2 $ $ for all integers n \geq 5 My working out (i) x > 1 +\sqrt2 $ $ or$ $ x < 1-\sqrt2 $ Step 1: n =5 \\ \\ $ $\therefore 32 > 25, $ $\therefore$ $...

This is a square, find x. Those 3 lines have distances of 40m, 30m and 50m

DOES \sum_{k=1}^{n}(z + z^2 +...+z^k) = (z)+(z+z^2)+(z+z^2+z^3)+...+(z+z^2+...+z^n)?

I ACCIDENTLY POSTED UP ON THE CHEMISTRY MARATHON LOL Using the "Glossary of words": Discuss means identify issues and provide points for and/or against My chem teacher says it means: advantages, disadvantages and evaluation Which is right?

Using the "Glossary of words": Discuss means identify issues and provide points for and/or against Using my head i think it is: advantages, disadvantages and evaluation Which is right?

$a) Let the points A_1, A_2, ..., A_n$ $ represent the nth roots of unity, w_1, w_2,..., w_n,$ $ and suppose P represents any complex number z such that \left | z \right |=1. \\ \\ $(i)$ Prove that w_1 + w_2 + ... + w_n = 0 \\ \\ $(ii)$ Show that PA_i^2 = (z-w_i)(\bar{z}-\bar{w_i})$ $ for i = 1...

Hi, does anyone know GOOD electro songs similar to "Tony Igy - Astronomia" (NO techno please) PLEASE SHARE! :D

Its an orphanage story, parents come pick up children, this one, only 1 is shown up, can anyone make it better? i cant think The shiny Mercedes Benz drove smoothly and parked in front of the door. The husband and wife got out their car holding plastic bags consisting of KFC and McDonalds...

\lim_{x \to\infty }\frac{x^2sin(\frac{1}{x})}{1+x} NO L HOPITAL RULE WHATEVER ITS CALLED, wolfram alpha used it...] Can anyone look at my method to see if it is right, if there is another method, please post it up :) My Method: =\lim_{x \to\infty }\frac{x^2sin(\frac{1}{x})}{1+x} =\lim_{x...

I want to study a type of engineering requiring a decent amount of maths with 90+ atar. Anyone have recommendations? Thanks in advance. I've checked the atar cut-offs for engineering but i havent decided on anything yet ONLY AT UTS IE. I WILL ONLY STUDY AT UTS

When doing polynomials questions and your need to chuck in some SUM AND PRODUCT OF ROOTS, i know its gonna be easy BUT... when doing sum of roots, what is the special particular sign that i can use to represent sum of roots, also what is the special sign to do product of roots i see in Terry...

On my first day doing complex numbers in school, there was a massive argument LOL z=x+iy then....the teacher goes: "What is the imaginary part of z?" Im(z)=iy OR Im(z)=y Which is correcto Mr Complexo? Have of my class thinks its y, the other half thinks it iy xD

Database error The Bored of Studies database has encountered a problem. Please try the following: Load the page again by clicking the Refresh button in your web browser. Open the community.boredofstudies.org home page, then try to open another page. Click the Back button to try another...

When does 3U exam start tomorrow? I'm guessing same times as 2U? (9:25AM)

When I am doing working out for a question, can I get straight and flow through it or do I have to state the obvious steps (eg. squaring both sides, times both sides by "q", divide everything by "b") For getting acceleration in terms of x to velocity in terms of x, when integrating, do i need...

Can someone tell me good Q9/10 in 2U HSC papers? (ACTUAL ones) Like which years have a good Q9/Q10

WHO IS PUMPED for the 3U HSC MATHS? :D I feel a massive horrifying improvement

:fish: http://www.boardofstudies.nsw.edu.au/hsc_exams/hsc2001exams/pdf_doc/mathemat_ext2_01.pdf Q7 part b) Can someone please do it in full detail :D Thanks

My life was happy and shining brightly until I saw the Paranormal Activity 4 advertisement on the television... since then, i cannot sleep when lie on my bed i get scared- so i sleep around 12am+ which is gay...before i sleep i eat a nice small bowl of rice with tofu. On hot days i still wear my...

Ok there is this question and I'm arguing with my friend:He says \bar{z}=\frac{1}{z}. I thought this is only true if the |z|=1... (ie. root of unity.)Also, the question stated that z\neq 0 and z\neq 1