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You need to use the fact that: PS+PS'=e(PM+PM)=eMM'=e(2a/e)=2a. S and S' are foci of the ellipse. So we let z1 and z2 be the two foci and z be represented by P. Now that equation above makes sense because PS+PS'=2a. a=length of semi-major axis And we know that the distance from z1 to z2=2ae...

Well, x^2-y^2=a^2 is a rectangular hyperbola that goes through (a,0) and (-a,0). It has asymptotes y=+-x. For details, read conics section of your MX2 textbook.

You mean x^2-y^2=a^2?

arg(z-a)=arg(ia) arg(z-a)=pi/2+arg(a) arg(z-a)-arg(a)=pi/2 Re(z)=a, Im(z)>0 if a>0 Re(z)=a, Im(z)<0 if a<0 assuming that a is a real number OR if a is not necessarily real, the locus will be a tangent of the circle x^2+y^2=a^2 with restrictions: Im(z)>Im(a) if a is in the 1st or 4th...

Just fixed minor errors Nice summary, repped

+1 lol

Fixed underlined part Overall: Zn(s)+Ag2O(s)+H20(l)->Zn(OH)2(s)+2Ag(s)

Then bio bridging course is recommended.

Well I let u=x-0.5 because when the numerator is rationalised, it allows us to make the denominator into root of difference of two squares. Then, standard integrals can be used to integrate the expression.

\\\int \sqrt{\frac{3-x}{2+x}}dx$ Let $u=x-0.5,$ $du=dx \\=\int \sqrt{\frac{-u+2.5}{u+2.5}}du \\=\int \frac{2.5-u}{\sqrt{2.5^2-u^2}}du \\=2.5sin^{-1}(\frac{u}{2.5})+\sqrt{2.5^2-u^2}+C \\=\frac{5}{2}sin^{-1}(\frac{2u}{5})+\sqrt{\frac{25}{4}-u^2}+C...

Nah, it's not that difficult but there are some annoying parts like BCS that are designed to be rote-learnt.

Answer to your question: 48 people this year However, answer to '99.90 or above': about 100 people (likely to be less than 100)

Yeah same here! Mine didn't work for like 40 times (a bit better than yours) and it worked when I tried again some hours later. It's quite annoying

Hey read this and try again http://community.boredofstudies.org/590/general-university-sydney/236171/unimail-issues.html#post4889748 Usyd computers had some errors.

HI5 for very similar subjects Mine are: Semester 1: MATH1901 Differential Calculus (Advanced) - applying for SSP MATH1902 Linear Algebra (Advanced) CHEM1903 Chemistry 1A (Special Studies Program) BIOL1001 Concepts in Biology BIOL1003 Human Biology Semester 2: MATH1903 Integral...

Hey, I had the same problem today. I found that you need to log in using this password: US followed by your date of birth. E.g. If your date of birth is 11/11/91, US111191 would be your password. It seems unimail and unikey log in have separate passwords.

Again, there is a difference between 'if "P(z1) and P''(z1) have opposite signs, where x=z1 is the first approximation," a better estimate NOT be reached using Newton's Method' and "the signs of P(z1) and P''(z1) must be the same for a good 1st approximation using Newton's method of estimating...

Now, you've initially stated that if "P(z1) and P''(z1) have opposite signs, where x=z1 is the first approximation," a better estimate NOT be reached using Newton's Method. That's a bit more than "the signs of P(z1) and P"(z1) do matter."

Well, the first edition of Excel Physics was published quite a long time ago. Not as long ago as 1961 but still, since it has errors in it, there's Coroneos might have some too. Yes, slim chance but it still can have some.

No one is perfect. That's like saying Conquering Chemistry/Jacaranda Chemistry can't have anything wrong in it. They can. (Not to mention that I've found some errors in Jacaranda Chemistry during my HSC)