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This might be somewhat useful: as Carrot said, 'if and only if' implies that there are 2 separate(that's how it's spelt, right?) proofs [which may or may not use the same kind of technique] namely 'if' and 'only if' for this particular question: 'Show that x = z if and only if Angle BAE...

15°， 75° is this^ right ???

what do you think?

Read more: http://www.smh.com.au/business/federal-budget/lowincome-and-older-students-the-main-beneficiaries-of-increase-20120508-1yb8x.html#ixzz1uLOainzZ

http://www.actuaries.asn.au/Sitefunctions/faq.aspx http://www.actuaries.asn.au/EducationandProfessional/Education/PathwayFellowship.aspx @OP, the websites above may be somewhat useful basically, from what I can see, a solid understanding of mathematics is ONE of the things you MUST have...

yes z = e^(0+0) - 2 = -1 is the minimum for the given domain

Q14 the way to find critical point for this question is similar to that for function of 1 variable( i.e. where f'(x)=0 ), since the function has more than just one variable, you'll need to find its Partial Derivatives find the x and y partial derivatives by regarding y and x as constants ...

it's very difficult to predict what marks you'll actually get , especially when you don't even know what exactly the subjects are about which is why the whole 'which subjects should I do' thing [and to some degree, ATAR predictions] doesn't make sense to me don't let things such as...

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Re: Semester 1 USYD Chatter Thread it hasn't changed for both semesters in 2011, at least for the subjects I did

@OP, next time ask your friend to integrate e^(-t^2) dt , or integrate sin(t^2) dt

where did you get that question from?

+1 Drongoski is highly recommended

could some one tell me what's going on here [as an experiment, I know it's not exactly 'Maths ']: (using a calculator) store A as 7^(1/7) ans=A then ans=A^ans, the 10 digits displayed don't seem to change at all after 30 iterations or so and it is 1.530140119 or 1.53014011947213 (from...

is it ?

Dunno if this qustion is related, but seems interesting : x^x^x^x^x^x^x^x^x^... = 7 ( infinitely interated ) Find x

has your teacher taught this ?

extraterrestrial angle?

yes [a simpler example] would you agree: d/dx(x^2)=2x and (1/2)*d/dx(x^2)=x ? in your question, a is just a constant(a=2,in this particular case) , so is ln(a) d/dx(a^x)= ln(a)*(a^x) then (1/ln(a))*d/dx(a^x)=a^x

many books use this kind of abbreviations, which looks fine to me as long as you don't get a fussy teacher marking your assessments, or in the HSC I'd use the abbreviations in practice ,but remember what the full version is and use that in real exams