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  1. F

    Roots of Unity?

    (1 + 3w + w^2)^2 = (-w + 3w)^2 = (2w)^2 = 4w^2 (1 + w + 3w^2)^2 = (-w^2 + 3w^2)^2 = (2w^2)^2 = 4w^4 = 4w can please explain this step, i don't see it
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    Graphing

    oh yeah i forgot also vertical asymptote x= -1 xD wait wth i already said that o-o i mean to say there is no vertical asymptote at x= 1 unless somehow you got one O_O
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    Graphing

    you'd have to differentiate + point of intersection if you want to find the turning point on the left side of the graph (of x= -1) : as x->-oo, y -> 1 right side (of x=-1): as x-> oo, y -> 1, BUT it goes through (0,1) and rises above y=1 and has a max turning point somewhere (differentiate to...
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    Graphing

    y = (x+1)^4 is a parabola with vertex (-1,0) y = (x^4+1) is a parabola with vertex (0,1) divide the parabola by subbing points or how you like it note when you divide the vertical tangent will be x = -1 horizontal tangent at x= 1 too (lim x^4/x^4) Btw can you draw graphs here or no?
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    Dominant/recessive

    ear lobe's free is recessive i think. Doesn't carry on to the next generations
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    4 Unit Revising Marathon HSC '10

    i) Sn = (w^n-1)/(w-1) or is it :o
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    4 Unit Revising Marathon HSC '10

    i) 7P7 x 5P5 x 2 o-o ii) 7P5 x 5P5 x2 + 5P5 x 7P4 x2 dont wna embarass myself now .. correcy me if you want xD Just a question when do you use P and C. C = order important? P = order not?
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    sleep

    aww im getting into the morning mood again :D feels awesome to see the sunrise. The sleeping early waking up early method works. Worth it to try, got nothing to lose except an effed sleeping pattern. has anyone tried sleep 10-1 wake up 5ish for 2 weeks. Then 11-3 wake up 7ish for 2 weeks. sleep...
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    Maxima and Minima Question Help

    if you could draw me the diagram for q1 i'd be happy to do it. I'm not sure whether the rectangle is the window. The semi circle? Or the rectangle - semi circle? I kinda drew a rectangle that has a semi circle inside it with width of rectangle = D of circle diagram please ... wouldn't wna...
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    sleep

    damn were you tired from 6hrs sleep or still fired up in the morning? do you sometimes just lay on the bed and close your eyes and you can't sleep. i know i do, very tedious. if i get 1-6hrs sleep i usually get sore eyes and especially back pain >< i heard sleeping less makes you shorter :o i...
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    sleep

    how many hours of sleep do you get per day on average? (school days) What time do you wake up and head to bed? Post tricks to getting up early if they actually work :sleep: lack of sleep is very tiresome :(
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    Separate this :)

    i think she means seperate them individually o-o or am i wrong? :apig:
  13. F

    Perms and Comb

    farr this topic i forgot :o a) 5P4 + 5P2 = 120 + 20 = 140?? LOL THATS MY GUESS XDDD Lets wait for a pro to do it.
  14. F

    Application of Calculus

    nu uh i dont wna draw >_> You'd have to figure how to draw it yourself, jsut relate it to my answer Since TN = 100 make a point between T and N and call that P or whatever you want, PN will equal to x t = d/ v t = f(x) , where x is ditsance t= t1 + t2 t= CP/ 40 + (100-x)/110 CP = root(900+...
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    Indices Question

    \frac {3^{2n} + 25^{2n-1}}{15^{n-1}} ={3^{2n}}{15^{n-1}} + \frac {25^{2n-1}}{15^{n-1}} = \frac {3^{2n}}{3^{n-1}\ast 5 ^{n-1}} + \frac {5^{4n-2}}{3^{n-1}*5^{n-1}} = \frac {3^{2n}+5^{4n-2}}{15^{n-1}} = 3^{2n} + 5^{4n-2} * {3^{1-n}* 5 ^{1-n}} = 3^{n+1} + 3^{2n}* 5^{1-n} + 5^{4n-2}*3^{1-n} + 5...
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    Field Diagrams?

    EHH?! You mean applications of calculus with volume and area, where you differentiate or integrate? I'm so lost LOL sorry. My prelim course only had differentiate something to obtain max.min volume/ area
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    Indices Question

    8) isnt it just (3^2n + 25^(2n-1) )/ 15^(n-1) Theres no brackets or anything so not sure what the question is By positive indices you mean all indices on the top fraction or waht O_O otherwise (3^2n + 25^(2n-1) ) (15^(n-1))^-1
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    Importance of DNA

    yeah prove her wrong :D my example was proness xDD Simplification isnt that bad once in a while
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    Importance of DNA

    it does make sense :uhoh: DNA allows certain traits to be passed on from parent to offspring. Through selective breeding, the distinct units called genes are compiled into a range of nucleotides which is known as the genetic code. So essentially the importance of DNA inheritance passes on...
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    Importance of DNA

    ehhhmm DNA also constitutes variation, increasing a species ability to survive. E.g. something kills off all the flies (YEEEAAHH :shoot:) , but some bitch ass fly lives, that fly becomes immune to the reagent (or poison) and then when it reproduces, its offspring are also immune to that virus...
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