Search results

Thank you so much for ur colossal assistance! (i get everything) The horrible solutions displayed different answers i) \frac{8!}{5! 3!} ii) \frac{\frac{2.6!}{5!3!}}{\frac{8!}{5!3!}} = \frac{1}{28}

Eight people attend a meeting. They are provided with 2 circular tables, one seating 3 humans, the other 5 humans. i) How many seating arrangements are possible? ii) If the seating is done randomly, what is the probability that a particular couple are on different tables? I will be...

Make the flow charts urself (using LOGIC and acquired knowledge - solubility tables) b4 looking at flow charts in textbooks. Producing flow charts will exercise ur mind like any other activity that requires application of acquired knowledge I'll start u off for anions: Add in something that...

(i)Find total first: 1 number: 4 2 number:4 x 3 3 numbers: 4 x 3 x 2 4 numbers: 4 x 3 x 2 x 1 These are mutually-exclusive events and so we add them = 64 For numbers >200, we must obtain 3 or more digits 3 numbers: 3 x 3 x 2 (first number must be 2, 3, 4. after u pick 1, three...

nvm i am crazy...

nvm i am crazy

In every projectile motion question i do i derive the 6 equations of motions Let v be the velocity of the particle x'' = 0 x' = vcos (0) = v x = vt y'' = -10 y' = -10t + sin (0) = -10t y = -5t^2 + 6.2 I urge u to please understand how to derive these important equations, if u cant find...

y'' = e^x(x+1)+e^x Apply the distributive law. \therefore y'' = xe^x + e^x + e^x \\ \\ \therefore y''= xe^x +2e^x Factorise e^x out. \therefore y''=e^x (x+2)

Re: HSC 2013 2U Marathon are u mocking me?

1. Since the the degree of the polynomial is 3, it'll have 3 real roots $ Let roots be \alpha, \beta, \gamma "One of the roots....is equal to the sum of the other 2 roots" $This simply means that \alpha = \beta + \gamma Use sum of roots one/two at a time and product of roots and use...

Re: HSC 2013 3U Marathon Thread sin^2 x + cos^2 x = 1 This commonly neglected identity will unleash its power in this question

(a) 2sin(M)cos(N) = sin(M-N) + sin(M+N) (b)too hard, its my bedtime bye

tan (135) = -tan (180 - 135) = -tan (45) = -1 $Let tan(67$\frac{1}{2}) = t \\ \\ tan(135) = tan(2t) \\ -1 = \frac{2t}{1-t^2} ($applying part a and using the double angle formulae for tan) \\ \therefore t^2 - 2t -1 = 0 t^2 - 2t - 1 = 0 \\ \Delta = 8 \\ \\ \therefore t = 1\pm \sqrt{2} \\ \\...

most likely will be titration

Re: HSC 2013 2U Marathon is this possible in 2U maths? (they dont learn integration by substitution)

Translate: English -> Maths \frac{dT}{dt} ($at T = 120) = 0 M=20 \frac{dT}{dt} = 5 degree/min \\ \\ $Remember to change units if u need to $AIM: At T=100, t = ? hope this is correct

T \neq M

what??? i never knew this.... if u can quote it, here is my method: Yes u can. It's called the method of Congruency (well this is what i call it) Take out the general tangent formula of an ellipse: \frac{xx_1}{a^2}+ \frac{yy_1}{b^2} = 1 \\ \\ a = 3, b = 2 \\ \\ \therefore...

For (a) Let y = 3^x y = e^{ln(3^x)} \\ \\y = e^{xln3} \\ \\ \frac{dy}{dx} = ln(3)e^{xln3} \\ \\\frac{dy}{dx} = ln(3)e^{ln(3^x)} \\ \\\frac{dy}{dx} = ln(3)3^x

Use this: a = e^{ln(a)} Then use: \frac{d(e^{f(x)})}{dx} = f'(x)e^{f(x)} \\ \\ $Note: f(x) must be a linear function