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  1. SunnyScience

    Fun little problem

    Sabrina gave Samantha as many dollars as Samantha started out with. Samantha then gave Sabrina back as much as Sabrina had left. Sabrina then gave Samantha as back as many dollars as Samantha had left, which left Sabrina broke and gave Samantha a total of $80.00. How much did Sabrina and...
  2. SunnyScience

    Inverse Trig. Differentiation

    Can someone please show me how to find the derivative for equations such as this please! y = sin^-1 [(2x-1)/3] Thanks! :)
  3. SunnyScience

    UMAT preparation that won't break the bank.

    So posts about UMAT2012 are becoming quiet regular now - so here's another one. I'm starting to feel the pressure of it now and have a good understanding on the test. However, a key question in mind: How do you study for UMAT? I've heard of people treating UMAT like a another subject and...
  4. SunnyScience

    Atar estimate bandwagon

    Thought it might be fun to do my start :) School Rank: 200 ish Biology: 1/35 Chemistry: 1/23 English: 4/24 Ancient: 1/17 Maths:15/ 41 (stuffed first assessment :/) 3u english: 2/5 3u maths: 1/23
  5. SunnyScience

    Affordable (fantastic?) New laptop ideas.

    So i'm about to inherit $500 off a scholarship and am thinking in investing it into buying a new laptop Currently i am using: Toshiba Satellite Pro A120 (AKA piece of sh**) So, i was just wondering, what are the best laptops on the market that i will get a good run out of i.e. Throughout the...
  6. SunnyScience

    School ATAR estimations.

    Just a couple of question, please :): 1. How do they work? 2. Who does them? 3. Do all school do them? 4. When are they done? 5. How many times are they done? 6. Are the accurate? 7. What are they based off? Thank you. :)
  7. SunnyScience

    Proving a combinations identity

    From 1997 HSC Q5 b Prove: nCr + nCr+1 = n+1Cr+1 I don't understand the books solution. Can anyone show me how to do it (with full working), please? :) Thanks
  8. SunnyScience

    Comparing the coefficients of binomials

    I'm having trouble with questions from this topic section. Nothing specific, just in general - I don't get it. Is there some kind of formula for working out these questions? Any tips? ty :)
  9. SunnyScience

    Induction question

    Prove 3^n > n^2 Thanks :) (hopefully this posts okay - first time using my phone :)) Sent from my LG-P990 using Tapatalk
  10. SunnyScience

    Integration by Substitution

    Integrate 2/(2x+1)^1/2 dx given u^2=2x +1 and 3x^2 (x^3 -1)^1/2 dx given u = x^3 - 1 ty :)
  11. SunnyScience

    Good Movies this month?

    What movie do you guys recommend i see this weekend? - anything you don't recommend?
  12. SunnyScience

    WORST school

    We constantly hear about the best school in state: Ruse, Bulks, SYD...but the question remains: Which school do you consider to be the WORST in New South Wales? Bullying, terrible teaching, facilities that fall apart when you breath on them, highest mortality rate...what ever - which one...
  13. SunnyScience

    Problems on Maxima and Minima

    I'm having some Problems with 'Problems on Maxima and Minima' (see what i did there? :P) I'm just not quite grasping how to do these questions effectively yet - anyone will to help me out? :/ Thanks. 4. An open tank is to be constructed with a square base of side x metres and with four...
  14. SunnyScience

    Hatshepsut's policies and the economy.

    "How did Hatshepsut's policies benefit the Egyptian economy?" Could anyone please help me with this question? - Maybe give me some points to work off (sources? ;))? The question is out of 5 and needs to be about 350 words long.
  15. SunnyScience

    Arithmetic Series

    Fitzpatrick ex 11(b) Q40 The lengths of the sides of a right angled triangle form the terms of an arithmetic sequence. Of the hypotenuse is 15 cm in length, what is the length of the other two sides? I used Pythagoras theorem and the quadratic formula, but the answer I got was 15 :/ (went...
  16. SunnyScience

    exponential differentiation question

    If f(x) = a/2(e^(x/a) + e^(-x/a)) Find f'(a). Thanks :)
  17. SunnyScience

    Volume of the Revolution of a Solid

    Don't know how to go these questions :/ - anybody care to help me out please :)? (*cough* Spiralflex *cough*) 1. A petrol tank is designed by the rotation of the curve y=1/5x(x-40) about the x-axis between the planes x=0 and x=40. If units are in centrimeters, how many litres would the tank...
  18. SunnyScience

    Aldosterone, ADH and decrease in blood volume??!?

    In terms of biology, Aldosterone is the hormone that is released to bring about salt retention within our body and, in particularly, the mammalian kidney. The hormones release is stimulated by a decrease in the concentration of sodium ions (salt) (which makes sense, since, in this case, we need...
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