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i) show that for x>0, x>Ln(1+x) ii) hence show that e^(nc2)>n factorial, btw (nc2 is n choose 2) for n=all positive integers. i already got the first part, i simply tested x=1, and showed that it was an increasing function. im pretty sure part ii is wrong since n would have a minimum value of...

not sure about questions which relate to the conical pendulum but use a pole instead of a string. i remember my teacher saying something about poles in that they can both pull and push, however i am not sure as whether it for this reason or not that they have a reaction force on top of the...

i cant seem to get this question a particle is to be projected with a speed of 25m/s from the floor of a horizontal tunnel of height 20m. taking g as 10ms^-2, find the greatest horizontal range that can be attained in the tunnel.

how would u find the center of the circle and radius when defined as. arg(z-2)-arg(z+2)=(pi/2). thankyou

i am having troubles sketching the locus of this inequality to find the range of modulus. the question is modulus of(z-sqrt(3)-i)=2. i might be brain dead or something but why does this graph cut at the origin, thanks.

i was wondering if someone can give me cssa solutions, since i have the papers but not the solutions. i need 2010, 2009, 2006, 2005 and 2004. thankyou very much i just need to check my answers to the complex number sections.

prove that the graph of <text>y=ax^{3}+bx^{2}+cx+d has two distinct turning points if b^{2}> 3ac. hence find the values of a,b,c and d for which the graph formed has the turning points at (0.5,1) and (3/2,-1). thankyou.<text></text></text>

prove that the graph of y=ay=ax^{3}+bx^{2}+cx+has two distinct turning points if b^{2}> 3ac

which topics should i start of with if i want to accelerate myself. if i wanted to do integration which 2unit and 3unit topics would i before hand need to know. thanks.

what is the best extension 2 textbook, in order to accelerate myself in learning the content before we start it in school next term.:haha:

with the returning of results i just wanted to know were i stand with my atar even though i am in prelim. this is just to help me find out how much more i need to improve. school rank~300. maths ext-4th/25 maths adv-5th/~70 chem-2nd/36 bio- 3-4/35 English adv-~top 10/~100 thank you :haha:, i...

ok so soon we will be asked to choose our subjects for year 12, and i have kind of set my mind so as to do 4 unit, i have also been requested when i asked my teacher to do it. my question is so i want to get a head start should i buy all the extension two books now or like wait until we start...

can anyone help with question 24 in this paper, my test it tomorrow and im not sure if i have the right answer. http://exampapers.web.fc2.com/tests/hs/y11/chemistry/2008IndependentYearly.pdf thankyou

there was a question in my test which i couldnt get. it provides you with a table 5 boxes in length and 4 boxes in height. the man started in the bottom left hand corner. it then said if the man can only travel north and east how many different ways can he take to get to top right hand corner.

today in my extension test we had a circle geometry, quite a tough one which involved proving a quadilateral to be cyclic. well i didnt know how to do, so i decided to take a risk. and said if it was a cyclic quad then opps angles where supp and it worked then i said therfore it is cyclic, just...

in regards to parametric equations is it wise to remember the different methods for the elimination of the parameters in different situations or do you just figure out a way on the day of the test. thanks

p(2ap,ap^2) and q(2aq,aq^2) are variable points on the parabola x^2=4ay. so that angle pqr=90. the tangents at p and q meet at t. find the locus of t. i know the process of doing these types of question i got up to 0=x(p-q)-a(p^2-q^2) and i know that you will end up getting that pq=something...

how many arrangements can be made by the letters of the word definition a)if the letters i don not occupy the first and last positions. b)if the letters i are together im pretty sure that b is easy im just having troubles getting a. i was pretty sure my working was correct but didnt match with...

does anyone have the 2008,2009,2010 independent solutions plz, i want to to check my answers. thank you.

im just wondering because we are now doing things like naming alkanes, alkenes and alkynes and my teacher gave these messy as drawings which we have to name with name like 2-methyl-1,3-pentadiene and i am now thinking that this probably inst even year 11. am i correct.