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Here it is integrate sqrt(4+x^2) this question can be solved by letting x= 2 tan u when we finish integrating this, the function will be left in term of sec u and tan u, so we need to swap them back to x. My question is, when we let x=2tan u, do we have to put restriction on u such that tan u...

For Q1, Let O represents complex number 0, A repre. a and B repre. b.Rotate vector OA 60 degrees anticlockwise or clockwise = vector OB -> (b-0)=(a-0) cis (+-60 degrees) For Q2, Let O, A, C, B repre. o,a,c,b respectively. Rotate vector OA 30 degrees ANTICLOCKWISE=vector OB -> (b-0)=(a-0) cis...

here is terry's solution for the 2006 paper http://www.hsccoaching.com/documents/35.html

yah for question 1, put |x-3|<2 as ssglain said but then why don't you try sketching the graph of y=|x-3| and y=1/2, and see where the inequality holds. It won't take you long, and moreover, it's safe you can take a shortcut to solve this as people said, but I think sketching is the safest...

I think we have to put in these manipulations to get full mark (Note that m(a) means mass of car a and a(a) means acceleration of car a etc...) From F(a)t = -F(b)t m(a) a(a) t = -m(b) a(b) t m(a) [v(a)-u(a)] = - m(b) [v(b) - u(b)] swap it around we get m(a) u(a) + m(b) u(b) = m(a) v(a) + m(b)...

How can you conclude that pa=-pb from (Ft)a=-(Ft)b ? They don't seem to have any relations.

Where can I grab terry lee book? They don't sell it in dymocks though:mad1:

Well I think if you're really good at differentation you'll find integration not very hard at all. Meanwhile learning inte. stuff will also improve your diffe. skill. So my suggestion is trying to master as much as possible that inte. stuff during this holiday. :)

Circle geometry for sure, but it may contain some Euclidean geometry, such as congruent, similar...

Can anyone help me? I still don't know how to do it

so shame that I don't know how to type mathematical formula here Well if you can read my typing...I hope I got it right at n=0 It becomes 2*(3^(-2))-5*0+2 at n=1 2*(3^(-1))-5*1+2 at n=2 2*(3^(0)-5*2+2 ... Generalising The total sum is 2* (3^(-2)+3^(-1)+3^0...+3^6) +5 (0 + 1 +2 +...8)+16 In the...

Well, to be honest, I really really don't know how to prove this things here. I tried writing down the equations of that 2 circles and the equation of that stupid line, but things got complicated and I gave up. I really appreciate if you could help me with that question

I got stuck at question 18 page 337 from cambridge book "Show that the common chord of any two circles having focal chords of x^2=4ay as diameters passes through the vertex of the parabola. (You may assume that tangents at the extremities of a focal chord are perpendicular)"...