2011 hsc mx1 marathon (2 Viewers)

Wight

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^ 10ln10 (sub in x=1)

Using the binomial theorem prove:
 
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Sanical

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^
Haha, I know how do it, but lol, I'm not gonna type it all out!


where x is the displacement in metres from the origin O and v metres per second is the velocity of the particle at time t seconds. When t = 0, the particle passes the origin with a velocity of 10m/s

Find the time for particle to travel 20 metres.
 
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SImon05089

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Sorry Wight, i dont know how to use latex,

^ t = 7 seconds
 
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SImon05089

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barbernator,
i think your c should of been -0.1, if u were to sub the initial conditions
 

Wight

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I used vdv/dx, so without using that (not sure if its in 3U course)
 
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SImon05089

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i re-did it 3 times, i got 7, fml

Edit: found my error, should be 10t not 5t for v, yup t = 12 is right, gj boys
 
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Vidhya

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P(x) is an odd polynomial of degree 3. It has (x+4) as a factor and,
when it is divided by (x−3) , the remainder is 21. Find P(x).
What is the solution? Would you mind giving working out? :)
 

Sanical

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Sanic - yay i got 12 :D
Lol, nice work :)

A,B and C are three sequential points on a straight line on horizontal ground. A vertical flagpole PQ is situated close by the line (but its base P is not on the line).
The angles of elevation of the top of the flagpole from A, B and C are , and respectively. If AB = 90m and BC = 30m, find the height of the flagpole.
 

barbernator

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Lol, nice work :)

A,B and C are three sequential points on a straight line on horizontal ground. A vertical flagpole PQ is situated close by the line (but its base P is not on the line).
The angles of elevation of the top of the flagpole from A, B and C are , and respectively. If AB = 90m and BC = 30m, find the height of the flagpole.
jesus youve got some good questions
 

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