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  1. 5

    Is not intensity affected by photon energy?

    In the Excel book it states "Intensity is independent of photon energy". Taking intensity to equal power/area, doesn't an increase in photon energy mean more energy and hence more power per unit area? Thanks in advance
  2. 5

    very quick reaction force q

    cambridge q4a excercise 7.5(Theres a particle performing circular motion on the inside surface of a cone): The worked solution has the reaction force pointed outwards from the cone and the answer in bob reflects this. I thought the reaction force opposes the force the particle applies to the...
  3. 5

    quick permutations q

    Find the number of ways in which the letters of the word EXTENSION can be arranged in a straight line so that no two vowels are next to each other My answer: consonants can be arranged in 5! ways, vowels can then fit in 6 spots and thus can be arranged in 6x5x4x3 ways, therefore, total...
  4. 5

    2008 CSSA volumes query

    http://au.geocities.com/ext2papers/ I've got an issue with q 3) c) i) 2008 CSSA I dont understand why - x is added isntead of x for the y value of the function x + y = 0. Why isn't the area of the sqaure (2sqrtx + +x)^2 ? Arent we dealing with distances???? Im sorry if this is is a...
  5. 5

    Binomial probability Q's

    These are from Fitzpatrick ex. 29(b) q's 20,23,27 respectively: 20) On the average, a typist has to corect one word in 800. Assuming that a page contains 200 words, find the probability of more than one correction per page. ANSWER = 0.0625 23) A marksman finds that he hits the target 9 out...
  6. 5

    Is it just me or is this question incorrect?

    The question is question 6) b) ii) of the 2008 HSC: http://www.boardofstudies.nsw.edu.au/hsc_exams/hsc2008exams/pdf_doc/2008HSC-mathematics-extension-2.pdf Using the perpendicular distance formula you get SR = \frac{ab\left | esec\theta -1 \right |}{\sqrt{a^{2} tan^{2}\theta +...
  7. 5

    Something useful to look at

    Telescoping series - Wikipedia, the free encyclopedia Theres an example in the 2008 HSC ---> question 6 c
  8. 5

    permutations q in half-yearly

    This q was in my 3u half yearly but an almost identical q appears in a 4u book so ive posted in this forum: Question (3 marks) - Eight children, consisting of three boys and five girls are to be seated in a row. In how many ways can this be achieved if no boys are to sit next to each other? My...
  9. 5

    A question on graphing waves

    Theres a question that asks to draw two waves, both same amplitude and velocity but different frequency/wavelength, and then asks to draw the wave created by the interference of these two; my problem is do i use the the axes dipslcament V time or displacement V distance... Dont they give the...
  10. 5

    Integration Q

    if (I_n) = (integral from 1 to 0){x((1 - x^3)^n)} for n>=0 show that: (I_n) = = ((3n)/(3n +2))I_(n - 1) for n>=1 thanks in advance
  11. 5

    SHM fitzpatrick q's

    These are questions 23 and 24 of page 114 in fitzpatrick I really dont know where to start: 23) Assume that the tides rise and fall in SHM. A ship needs 10 metres of water to pass down a channel safely. At low tide the chanel is 9m deep and at high tide 12m deep. Low tide is at 9am and high...
  12. 5

    Need advice on school changing

    Ive just started yr 11 in a school thats ranked in the high 100's(didnt make the top 200 last yr though) and in the most unconvenient of times have been given an offer to go to fort street high school within this week; i am so split between wether to go or not. Fort st is about 1 hr 15 mins from...
  13. 5

    related rates questions

    1) A conical tank whose axis is vertical has a semi-vertical angle of 45 degree. water initially at a depth of 5 metres leaks out through a hole at the bottom at the rate of 0.2sqrth metres^3/min when the depth is h metres. find the rate at which the depth is decreasing when the depth is 4...
  14. 5

    question about general solutions

    For the general solution such as that in tan (@ - pi/3) = -sqrt3 does the angle we use (giving the terminal ray) in the right hand side matter (knowing that the tan of that angle = -sqrt three) for e.g tan (@ - pi/3) = -sqrt3 tan (@ - pi/3) = tan 2pi/3 @ = npi + pi @ = pi(n + 1) OR tan...
  15. 5

    two quick questios

    1) Does the cambridge three unit yr 12 contain the entire extension 1 course? 2) What is the first topic that should be completed in the HSC curse? Thanks in advance
  16. 5

    another P & C Q

    sorry to ask for help yet again....... this stuff just doesnt click with me from the DEFINITION of nPr and nCr proove: i) n+1^P_r = nPr + r. (n^P_r-1) ii) nCr = ((n - r + 1)/r).(n^C_r-1) thanks in advance
  17. 5

    permutation Q's

    1) In how many ways can 4 people be accomodated if there are 4 rooms available answer: 256 2) In how many ways can 8 oarsmen be seated in an eight oared boat if 3 can row only on the stroke side and 3 can row only on the bow side? answer: 1152 thanks in advance
  18. 5

    poly roots Q

    solve the equation 6x^4 - 11x^3 - 26X^2 + 22x + 24 = 0 given that the product of two of the roots is equal to the product of the other two This is fitzpatrick: Q17 p173 thanks in advance
  19. 5

    quick question

    this is from a worked examle concerning the factor theorem, i understand the question except the part in red: question: find one zero, and hence express p(x) = x^3 - x^2 - 14x + 24 as a product of linear factors. solution: since the coefficient of x^3 is unity, the only possible zeroes involve...
  20. 5

    Trig proof Q

    im using @ for theta prove the following: sin(n@ + @) + 2sin(n@) + sin(n@ - @) = cot(@/2) cos(n@ - @) - cos(n@ + @) I can simplify the expression down so that: LHS = cos@ + 1 sin@ but i cant go any further thanks in advance
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