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Re: HSC 2015 4U Marathon Difference of two volumes?

Re: HSC 2015 4U Marathon $ Using the method of cylindrical shells, find the volume of a torus with inner radius 2 and outer radius 4. $

Re: HSC 2015 4U Marathon ^ Fixed

Re: HSC 2015 4U Marathon VOLUMES QUESTION $ (I) Show that the curves $y = \frac{1}{\sqrt{x^2+1}}$ and $y = \frac{\sqrt{2}}{\sqrt{x^2+4}}$ intersect each other at $x=\pm{\sqrt2}$. \\ (II) The region bounded by the above curves is rotated about the $x$-axis. Show that the volume of the solid so...

You mean we're trying to show a and d are equal, whilst b = c = 0?

Write out entries for A and X and perform the matrix multiplication for AX and XA respectively. Then equate the matrices and you should get values for you entries in A. Your A matrix should then be a scalar multiple of I. Not sure if there is a faster way.

Re: UNSW Chit Chat Thread 2015. PROVISIONAL Exam Timetable for Semester 1 2015 is out on myUNSW. You can check by going to Student Profile -> View Exam Timetable :) How is everyone's exam timetable for this SEM?

Re: UNSW Chit Chat Thread 2015. ACCT1511, ACTL2102, MATH1081 (or MATH2621) & MATH2931.

Sy123 concluded it for me :) :)

Re: UNSW Chit Chat Thread 2015. Well Sherris took only one tutorial class last year, so I am guessing it may be the same for this year.

I hope this helps :) .

Need someone to clarify what the first part means (+ method): Thanks

Re: UNSW Chit Chat Thread 2015. According to the UNSW site, "Your enrolment appointment is simply the day and time from which you can begin enrolling online.". People can start enrolling from the 29th but I don't think everyone can (only a selected few, maybe more senior students get this...

Re: UNSW Chit Chat Thread 2015. Anyone have opinions on the course MATH1081 Discrete Mathematics and the lecturers D Angell & J Franklin? Thanks.

Re: MX2 2015 Integration Marathon Use the "plus 1 minus 1" trick to split the integrand and apply IBP once to get $ $\frac{x}{1+\ln(x)}$ + $C$ $

Re: UNSW Chit Chat Thread 2015. Not sure if srs...

Re: MX2 2015 Integration Marathon ^ Yep, $ $u = \sinh^{-1}x$. $

Re: MX2 2015 Integration Marathon Using the substitution $ $u = \ln({x+\sqrt{x^2+1}})$ \,\Rightarrow\, $x$ = $\frac{e^{u}-e^{-u}}{2}$ $ should work too, you will still need to use IBP twice to get the desired value.

Re: UNSW Chit Chat Thread 2015. Did you do MATH2931 in SEM2 of 2nd year? I hear that is a deadset hard course esp when Libo ran the 2014 stream (he is also running the 2015 SEM2 cohort). Any tips on how to get through this course?

Re: UNSW Chit Chat Thread 2015. Just to add to this, this link should help in planning your SEM2 timetable: http://tdransfield.net/utilities/bojangles. Simply add in all the courses you are taking next SEM, and it will generate a sample timetable (which is based off the all the official times...