AQA Further Maths FP1 June 5th 2015

Guys for the gradient questions I just want to clear something up.

Say if the gradient is h+3 and as h tends to zero the gradient of the line PQ tends to the gradient of the curve at point P. Do we then have to say the gradient of the curve at point P is EQUAL to 3, or that gradient of curve at point P tends to 3?

If someone could write a general answer for this I would much appreciate it.

You say that the gradient equals the limit as h tends to 0, and that the limit as h tends to 0 = 3. e.g. m = Lim_h->0 (h + 3) = 3

Thank you!
Oh ok so you can use that way of writing it?(writing 'Lim' with h tending to zero)?
I've seen them write it as sentences in the mark schemes so I wasn't sure if I could write it like that.

Yeah, it's okay to use the shorthand and write Lim with h (arrow) 0 underneath it I think? At least, I've always used this method and my teachers mark it correct on mocks etc so I'd think it's okay, and I'm pretty sure I've seen it in markschemes before

also how do you draw the newton raphson diagram? The older mark schemes are so vague :/

I agree. I think you draw a tangent at x1 and when the tangent crosses the x axis (x2) you go veritcally upwards/downwards to the curve and draw another tangent, and where that crosses the x axis will be x3. Youll notice you're getting closer to the root each time.

thanks! would you mind drawing an example so that i could see it?

http://imgur.com/bE97Qxi

heres my paint effort lol

thankyou that makes sense now!

Could somebody help with this q? The sum of (r+17) from 1 to 25 is equal to the sum of r from P to Q.Find R and Q.So I worked out the the sum of r+17 is 1500, then I did:1500= 0.5p(p+1) - (0.5q^2 - 0.5q)But because there are 2 variables I am unable to solve..!I checked the answer and it matches my quadratic, but I don't know what the next step is... thanks

Anybody ?

can anyone help me to answer a series question - jan 08 4b thanks!

Which do you reckon is the hardest FP1 paper?


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can someone explain 7ciii for june 2014 - i got y=tan75x which is wrong but i don't understand the mark scheme?
i did cos^-1(-root3/2) = 150 = 2 theta, so theta = 75?