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Hoping for 94+. How hard is it to get 96?

Is it 1.78%?

Hey mreditor16 which year is this from?

Q: Describe how a slingshot effect around a planet can be used to accelerate a space probe How do I describe the slingshot effect in terms of momentum exchange? Thank you!

Can someone help me with part ii) please Thank you :)

Yes please :)

Thank you guys! :)

Any hints/tips on how to solve this question? If (x+iy)^n = a+ib, find a^2+b^2

18 a) Equation of parabola: x^2=4y where a= 1 PS = PM where M is a point at the directrix (y=-1) directly below P (same x-coordinate) PM = p^2-(-1) = p^2+1 = PS b) PS = p^2+1 and QS = q^2+1 PS + QS = p^2+q^2+2 c) Since PQ is a focal chord pq=-1 (can prove by finding eqn of PQ and substitute the...

To eliminate s, multiply the top equation by 3 and the bottom by 5 and then subtract both equations. Note that you want to get the lowest common multiple. 15s-9t-39=0 - 15s-35t-65=0 26t + 26 = 0 t= -1 You can either sub t=-1 into any of the equations or use elimination again to eliminate...

Didn't it say the dimensions of the printing area not the dimensions of the rectangular sheet of paper?

3c) xy=300 A=(x-5)(y-3) A=(x-5)(300/x - 3) = 300-3x-1500/x + 15 = 315 - 3x -1500/x dA/dx = -3 + 1500/x^2 when dA/dx = 0 x = sqr(500) = 10sqr(5) y= (300/x - 3) = (30/sqr 5 - 3) To prove maximum, find d^2A/dx^2 d^2A/dx^2 = -3000/x^3 Sub x= 10sqr(5) and its a maximum Therefore dimensions are...

3b) y'' = -2x Integrating, y' = -x^2 + C When f'(x)=0 (min turning point) x= 3 0=-9 + C C= 9 Therefore, y' = -x^2 +9 Integrating, y= -x^3/3 +9x + C When x=3, y = 7 7 = -9 + 27 + C C = -11 Therefore, y=-x^3/3 + 9x - 11 Is that the correct answer? Tell me if I did something wrong

It’s never too late to build up your skills. If you put in a few hours of maths every day or finish your homework, you will eventually know how to tackle every question because each question will be very similar after a while. Yes Maths in Focus isn’t a very good book so maybe purchase another...

Isn't it faster to just solve A and B and put it into the form (x-A)(x-B) than making it a quadratic equation and then using the quadratic formula which you still need to put it into that form?

Where is a and b? Are you sure they are factors? Subbing P (1) and P (-2) won't give you 0

Isn't your best 2 units of english always counted?

b) z^3+1=0 (z+1)(z^2-z+1)=0 discriminant: -3 z= 1/2 +- sqr(3)i/2 Therefore z = -1, 1/2 +- sqr3i/2

Will you be able to explain how he works really efficiently?

Did you use the quadratic formula? How come u dont have -b in front of the discriminant all over 2a (a=4)