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  1. pomsky

    Geometric/ Arithmetic Mean

    Hey guys! Could someone explain what a GM and an AM is? And also figure this question out haha. $The point M divides the internal AB externally in the ratio 1:$ \alpha$ in such a way that AB is the geometric mean of AM and FM. Find the exact value(s) of $\alpha$, and draw a diagram to show...
  2. pomsky

    2015 HSC Journal

    Hwello ! Lately I've been chilling far too much- and my workload is starting to build up and slowly suffocate me. I'm a lazy rock who won't do anything unless forced to- so I figured since this is public, I'll feel obliged not to fail publicly.-maybe setting everything out will help me...
  3. pomsky

    Perms and Combs

    The ratio of the number of combinations of (2n+2) different objects taken n at a time to the number of combinations of (2n-2) different objects taken n at a time is 99:7. Find the value of n. Ans: N= 5 How do I approach these type of questions? And when do I use factorial, perms or combs? I'm...
  4. pomsky

    Solving harder calculus questions

    Yo! Completely forgot how to arc-trig lol. Much help needed. "Solve arcsinx - arccosx= arcsin(3x-2)" Ans: 0.5,1 fanks :)
  5. pomsky

    Inequality

    Yo guys! How do you work with differentiation in proving stuff in inequalities? I just don't get it... Q1: Given f(x)= ln(x)/x a.) Show that e^pi > pi^e Can you just sub stuff in? Q2: a.) Show that sin x < x for x> 0. NB: Please assume I don't know any official theorems. My...
  6. pomsky

    Projectile Motion

    Hwello c: Could you guys please give working out? You have my eternal gratitude <3 'A ball is thrown with initial velocity 40m/s and angle of inclination 30 degrees from the top of a stand 25 metres above the ground. What is the impact speed and angle?" Ans: v= 10sqrt(21) m/s and theta =...
  7. pomsky

    Simple Harmonic Motion HELP!

    YO YO YO :) Can you guys help me with the below Qs? My brain cannot cope with physics and it knows it (and yet this is math ext 1 wtf). It would be great if you guys could provide some working out and/or give me tips on how to approach these questions.thhhaankkks Oh and hi everybody! I'm a...
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