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2u: Geometric applications of calculus 3u: harder parametrics and circle geo/ext 1 curve sketching 4u: complex numbers

The arc kinda kinda shows which angle it is for me

$\noindent$ a=\frac{(v_{y}-u_{u})}{t} \\ \Rightarrow t=\frac{(v_{y}-u_{u})}{a} \\ = \frac{0-400\sin 30}{-9.8} \\ \therefore $ time to reach max point = $ 20.4s \\ \Rightarrow $ time to reach the other end $= 2 \cdot 20.4 = 40.8s\\ \therefore x=v_{x}t \\ = 400\cos 30 \cdot 40.8\\ \approx 14139$m$

HSC starts yayayay :D

use \frac{I_{1}}{I_{2}}=\frac{{d_{2}}^{2}}{d{_{1}}^{2}}

$\noindent$ \sqrt{(x-3)^2+(y-2)^2}=2|y+1| \\ (x-3)^2+(y-2)^2=4(y+1)^2 \\ x^2-6x+9+y^2-4y+4=4y^2+8y+4 \\ x^2-6x+9-3y^2-12y=0

I guess there will be more interesting and harder Qs, I prefer questions that requires a lot of think rather than just plugging stuff into the formula anyways

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread 13a $\noindent The parabola is the locus of all points equidistant from the focus and the directrix.$\\ PA=PM, $ where P is the point on the parabola, A is the focus, M is a point on the directrix$.\\ \therefore...

Drawing a small diagram may help. Since they want the depth of the sea floor, ignore the first reflection. So the waves return after 0.20s. This means that in 0.20s, the wave traveled from the surface to the sea floor, and back again to the surface. So if I let x be the depth of the sea floor...

I guess so. Electric field strength is a vector, and so you do need direction

I think you got confused with the diameter

for q1 for two curves to be tangent, their gradients must be equal at their points of contact. We know the gradient of the line is 3, so the gradient of the curve must also be 3 at the points of contact. So find the derivative of x^3 and find the solutions for which it is equal to 3. Now these...

Welcome to bos! Good luck and have fun in the exams :)

nice

wooow watta legend!

Nah he is probably shocked cause maybe some schools only give dux for yr 12 idk haha

Don't really know haha

~140

Lol that's a pity and ye my math teacher marks it really quick, in like 3-4 days haha