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  1. J

    Conjugate Acid and Bases

    This is a question from Exam Choice 08 Trial paper of which i dont have the solutions for. The question is : Which one of the following is an acid/base conjugate pair? (a) HCl/NaOH (b) H_2SO_4/SO_4%5E%7B2-%7D (c) H_3O%5E+/H_2O%5C%5C (d) NH_2%5E-/NH_3 Initially i thought c, but that would...
  2. J

    Integration

    A question from coroneos that's really annoying me. The question is %5Cint%20%5Cfrac%7Bdx%7D%7B3sinx+4cosx%7D The answer is %5Cfrac%7B1%7D%7B5%7Dln%28%5Cfrac%7B1+2tan%5Cfrac%7Bx%7D%7B2%7D%7D%7B2-tan%5Cfrac%7Bx%7D%7B2%7D%7D%29 But i keep getting...
  3. J

    Trig Equation

    This question is from 3U cambridge year 12. cos2%5Ctheta%20+%203%20=%203sin2%5Ctheta%5C%5C%20$Hint:%20Wrote%203%20as%203cos%5E2%5Ctheta%20+%203%20sin%5E2%5Ctheta%5C%5C%200%5Cleq%20%5Ctheta%5Cleq%202%5Cpi%5C%5C%20$Solve%20for$%20%5Ctheta$,$%20giving%20solutions%20to%20the%20nearest%20minute$ I...
  4. J

    How fast do you write?

    I'm preparing for an english essay in which we have 40 minutes to write our english essay for an exam. From what i remember, last year i managed roughly 1000 words in a 40-45 minute exam but some of my friends don't believe this and has left me unsure. Just curious, how many words would...
  5. J

    Induction Question

    %5C100dpi%20$%20A%20sequence%20is%20such%20that%20$T_%7B1%7D=8,%20T_%7B2%7D=34%20$%20and%20for%20all%20positive%20integers%20n,%20T_%7Bn+2%7D%20=%208T_%7Bn+1%7D-15T_%7Bn%7D$%5C%5C%20$Prove%20by%20mathematical%20induction%20that%20T_%7Bn%7D=3%5En+5%5En$ I've worked it out but theres one step im...
  6. J

    Conics Help

    I have absolutely no idea how to do this questions. I always start off with an idea then hit a dead end. If anyone could help it would be greatly appreciated :) P(cp , c/p) is a point on the hyperbola xy=c^2 The normal to the hyperbola at P meets the hyperbola again as Q. Show that the locus...
  7. J

    Volume about the x axis problem

    The area in the first quadrant under y=1 and above y=2-2/x is rotated about the x axis. Find the volume formed. Chapter 12E Q14 Cambridge year 11 3U I keep getting the answer wrong and am not sure if i'm doing it right or not...
  8. J

    Methyl red in titration

    For a titration with a strong acid and strong base, the equivalence point will be about a pH of 7 and bromothymol blue is the optimal indicator. My question is, how suitable is methyl red as an indicator for a strong acid strong base titration? My school's bromothymol blue went off and our...
  9. J

    Time Dilation Question

    A rocket is travelling to the star closest to earth, proxima centauri which is a distance of 4.3 light years away. The rocket travels at a speed of 0.8c and the time taken to accelerate and decelerate is negligible. Calculate the number of years that will pass as measured by the crew of the...
  10. J

    Induction Question

    I've gotten stuck at the end of this and don't know to finish it. The question is $Prove%20by%20mathematical%20induction%20that%20$%28%5Cfrac%7Ba+b%7D%7B2%7D%29%5En%5Cleq%20%5Cfrac%7Ba%5En+b%5En%7D%7B2%7D%20$Where%20$%20A%3E0$%20$%20B%3E0$%20and%20$%20$N$%5Cgeq%201 Skipping step 1 and the...
  11. J

    Chord of an ellipse

    The question is $P%20$%28a%20cos%5Ctheta,%20bsin%5Ctheta%29$%20and%20Q%20$[a%20cos%20%28%5Ctheta+%20%5Cpi%29,%20bsin%20%28%5Ctheta+%5Cpi%29]$%20lies%20on%20the%20ellipse%20$%20%5Cfrac%7Bx%5E2%7D%7Ba%5E2%7D+%5Cfrac%7By%5E2%7D%20%7Bb%5E2%7D=1%20$%20Show%20that%20PQ%20passes%20through%20%280,0%29$...
  12. J

    Production of Commercial Radioisotopes

    In regards to the dot point "Describe how commercial radioisotopes are produced" To what extent of detail is required? So far i have mentioned the use of nuclear reactors and particle accelerators and their production of neutron deficient/rich isotopes, as well as providing examples eg...
  13. J

    Cyclohexene + Bromine Water

    What exactly is the equation of the reaction taking place? I was thinking C6H10 + Br2 ---> C6H10Br2 But somewhere else i saw C6H10 + Br2 +H2O ---> C6H10BrOH + BrOH :confused: Also : is the state of bromine water (l) or (aq)? thanks (:
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