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\text{Determine the growth rate of the sequence}:\\a_{n}=1+2+3+....+\left \lfloor \frac{n^{2}}{10} \right \rfloor $for all n\geq 4. Thanks, its really confusing me, i was thinking of making n =10^k to get rid of the down rounding operator but didnt really know where to go

Hey i was wondering if someone could give me some help with this question on matrix transforation: \text{Let b}=\left ( v_{1},v_{2},v_{3} \right )\text{be a basis of }\mathbb{R}^{3}\text{and define c}=(v_{2},v_{3},v_{1}).\\ \text{Suppose that} \phi :\mathbb{R}^{3}\to \mathbb{R}^{3}\text{is a...

Hi, im about to go into 2nd year adv science. i want to major in pure maths so i picked to do vector calculus and real/complex analysis this semester. turns out analysis clashes with my two other subjects, anatomy and physiology. so im thinking of changing analysis to graph theory. only problem...

hey sorry to bother yall but im doing some papers for my dif cal exam next week and i ran into one i had trouble with: lim(y>0+) (cosh(3/y))^y this is my work so far: let L be the limit it approaches so lnL=lim(y>0+) ycosh(3/y) =lim(y>0+)(cosh(3/y))/y^-1 which is in the form (inf/inf) so...

hey can someone please explain to me how to get a taylor polynomial of order two out of the equation x^2sqrt(9-x^2) i missed a lecture where he explained it i think it uses the fact that the expansion of sqrt(1+x) = 1 + 0.5x + ... but dont know how to do it thanks

hey i just came across a question and it asked if there is a matrix A to find A^2 and then the 2nd part said find A^-1 and it turned out that A^-1 = -A^2 soooo im just wondering if that was just a coincidence or its a general rule for matrices thanks

hey im a little bit rusty at complex, can someone please give me a bit hint as to how to solve this? \large z^2\:+\:2\bar{z}\:+1\:=\:0 thanks

Hey does anyone stay at the uni village? Whats it like?? thanks

im going to be doin this course this year and i was just wondering how many hours a week should i be expecting to spend in lectures and tutes, etc? thanks

i wasnt sure where to put this thread as there was no faculty of vet science one, so i put it here. but my question is: is there anyone on this forum who got into vet science at USYD on the second or final round offers? And if so, what UAI did you receive? Thanks

why is it when you differentiate lnx, which is defined only for x>0 we get a function that is defined for all real x, except x=/=0?? probably a silly question but i was just wondering

What do you all think the band 6 cut off will be? /100

2* sqrt( 27-9sin2x) dx thanks

Anyone else excited as me???

who got tickets for their show at the horden pavillion in january? i did, they're gonna be awesome =]

Who's got Kings on Leon's new album?? what do you all think?? i reckon it sounds really good can't wait till they tour again

i know this question is asked very often, but can someone estimate my uai please?? MX1- 1/9 MX2 - 1/2 Chem- 2/9 Phys- 2/19 Jap- 2/3 Eng- about 20/about70 and my school rank is low 300's thank

how many do you think we need? will two be enough?? thanks

how can the ionic equation of the neutralisation of NaOH and HCl be written as either: H+ + OH- >>> H20 or H30+ + oh- >>> 2H20??

im just wondering would it be acceptable to use projectile motion from 3 unit maths to solve physics questions?? because my physics teacher can't explain things well so i never understood projectile motion in physics? or would calculus be bad in the exam?? thanks