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1) S (2x+3)/sqrt(4-x^2) dx 2) S (1-2x)/sqrt(x^2+2x+10) dx I know that you have to split up the integrals in both questions into partial fractions but don't know how to equate with the square roots. I've used trig. substitutions and got the answer but i want to do it using partial fractions.

1) Sketch: arg(z-(1+i)) = arg(z-(-2+5i)) Is it just the line via the points excluding the points. 2) Sketch: arg(z-(1+i)) = arg(1-(-2+5i))+pi 3) Sketch: arg(z+3-i) = arg(z-(2-i)) Just need some tips at drawing complex locus.

P(at^2,2at) is an arbitrary point on the parabola y^2=4ax with Focus S(a,0). i) Show that the tangent at P has equation x=ty-at^2. y^2=4ax d/dx (y^2) = d/dx (4ax) 2y.y' = 4a where y=2at. y' = 4a/2at. y' = 1/t but the gradient of the tangent is meant to be t. I think the question is...

Does anyone know any good textbooks/sites to get practice matrice questions from?

On an Argand diagram the points P and Q represent the complex number z1 and z2 respectively. OPQ is an equilateral triangle. Show that (z1)^2 + (z2)^2 = 2z1.z2 Got this: (z1-z2)^2=0 If z1=z2. then LHS=RHS. Vector angles are : pi/3.

Hey does anyone have the solutions to Physics Contexts 2?

A mass is moving in a horizontal circle of radious 4m and with linear velocity of3 m/s. Caculate: The angular speed. How do i convert the linear velocity into angular speed?

Does anyone know where i can get notes on belonging for AOS?

What would 94% or 113/120 in 2004 HSC paper get as a aligned mark?

I know this is debatable but who do you think is the best mathematician ever? or who is your favourite?

Lets settle the debate once and for all. What is the best MX2 textbook all-round.

Hey, 09ers. You can post up all your results for test, exams and assignments throughout the whole year.

1. A body is projected with an initial velocity of 45 m/s and reaches its max. height at 4 seconds. Find the angle of projection. Answer: 60 degrees, 35 minutes. My working: u= 45sinA, a=-9.8, t=4. v^2=u^2+2as 0 = [45sinA]^2 - 19.6*h s=ut+0.5*at^2 h=180sinA-4.9(16) h=180sinA-78.4 0=...

Have these currents holidays been a waste of time? Do you want to go back to school?

Does anyone have Worked Solutions to Mathematics HSC 2007. Please post up. Thanks

A stone is let to fall from a building and 1 second later another stone is dropped vertically downwards with a velocity of 20m/s. When will the second stone overtake the first stone. My working: v_1=0+9.8t_1 v_2=20+9.8(t_2) where t_2=t_1 +1

Differentiation Q Can someone help me differentiate: P= I/[RI+(1-RI)e^-kt]

Need some help. dT/dt=k(T-P) P=temp. of surrounding area T=temp. of object over a function of time k is a constant The atmospheric temp is 30. A metal object, heated to 125 placed in the air to cool and after 1 hour is found to have cooled to 80. Whta is the temp. after 1.5hours? Working so...

Hey guys, i need help with the following questions. Question 1 d) Question 2 bii)--> do i just use binomial theorem to expand it then equate the reals and unreals, this seems very time consuming. Question 2 c)--> i ended up getting a circle with the centre at (1,0) and radius of 1 units. Is this...

This is easy but i am not getting it. s=t^2-6t+8 Find the distance travelled by the particle in the 4th second.