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Addmaths paper 1

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The differential of y = 3 tan x - 2 was dy/dx = 3 sec^2 x, when you put x = 3pi/4, this becomes 6.
Gradient of normal = -1/6.
y + 5 = -1/6 (x-3pi/4)
6y + 30 = -x + 3pi/4 --> Eq. of normal.
Put x = 0
6y = 3pi/4 - 30
y = (3pi/4 - 30)/6 = -4.61

lol, i got the gradient of curve wrong so eventually..... all wrong...
and btw, can you explain the binomial question and trhe first trignometric one which was of 3 marks?
 
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well , there was only one REAL root..
binomial one , i myslef got wrong.. :(
hope i get method marks..
Coordinates of P were like (0 , 3.35)
Yeah I was getting 11/16 when I used that method..so I left it like that and plugged in calues from 0 till 10 in the x2 equation till I got the answer..th
 
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lol, i got the gradient of curve wrong so eventually..... all wrong...
and btw, can you explain the binomial question and trhe first trignometric one which was of 3 marks?

25/4 = nC2 (1/4) - nC1(1/2)
25/4 = n(n-1)(n-2)!/2!(n-2)! (1/4) - n(n-1)!/1!(n-1)! (1/2)
25/4 = n^2 - n/8 - n/2
50 = n^2 - n - 4n
n^2 - 5n - 50 = 0
Simplifying gives n=10 and n=-5 (rej.).

Please give the question for the trigonometry one, I'll solve.
 
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