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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

Oh ok, thanks for that. I guess i'll probably have to wait for someone who's already done 2nd year maths to come then

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...

I wouldn't recommend it.

S(e^xcosx)dx = Re[S e^x*e^ixdx] =Re[Se^((1+i)x) dx] =e^xRe[((1-i)/2)e^(i)x dx] + C =(1/2)e^x(cosx + sinx) +C I guess its a bit quicker than recurrence integrals

starts at zero, has an amplitude of 20 and has a period of T=2pi/(1/2)=2pi. so at pi it reaches maximum amplitude for the first time.

http://latex.codecogs.com/gif.latex?\int\frac{x^2+4x+2}{x}%20dx%20=%20\int%20xdx+%204\int%20dx%20+%202\int%20\frac{dx}{x}%20=%20\frac{x^2}{2}+4x+\ln%20|x|%20+c

usually question one in the hsc exam is on this.

Theres probably a quicker way, but the way to approach this question that jumped at me is this: find the equation of the line through (2,1) and the centre of the circle. then solve this line with the equation of the circle. you'll get (2,1) back and another set of coordinates, which is the ones...

I'll sell you my CHEM1901 book. And My PHYS1901 book if 1001 has the same book, University Physics by young and freedman

So what do you reckon i should do? Go into the uni and ask if i can work around it or something. or because its such a bad clash ( all 4 lectures clashs with either anatomy or physiology), should i just change into graph theory, which to me sounds quite a bit more boring

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...

definitely no vertical asymptotes in this graph, as x^4+1 =/=0 for real x

its round 16-17 grand ayear

well not that this belongs in 2 unit- or 4 unit for that matter, i believe all you have to do is integrate each expression singularly then multiply them together. so intergrating w.r.t y you get: [e^y] 0>1 = (e-1) integrating w.r.t x: [-e^-x] 0>x^3 = (1- e^-x^3) so all together you get...

yeah you just treat sin3x and cos3x as sin(2x+x) and cos(2x+x) and use your rules to expand until you get to an expression in terms of sinx and cosx. It's a bit long, but not too hard if you know your trigonometric properties

Semester 1: ANAT2008 - Principles of Histology CHEM2401 - Molecular Reactivity and Spectroscopy MATH2961 - Linear Mathematics & Vector Calculus Adv MATH2962 - Real and Complex Analysis (Advanced) semester 2: ANAT2009 - Comparative Primate Anatomy CHEM2402 - Chemical Structure and...

sin and cos are complementary. you know how sin(pi-x) = cosx? same thing

can you also post up the paper please?

yeah i wouldnt mind having a look as well. it'd be cool to look at the paper now ive done uni maths