Marking scheme Mathematics P3:
June 2011 Attempt:
(order of questions might b a lil' messd up)
1) x>-5/3 or x<-5
2) x= 3.68
3) theta = 180 or 28.9 degrees
4) binomial
i) -2/(1+x) + (x+4)/(2+(x^2))
ii) 5x/2 -3(x^2) + 7(x^3)/4
5) iteration...x = 1.35
6) diff. whr x = ln(tant) ...
Answer:
i)dy/dx = 2 (sin^2)t (cos^2)t
ii)x - 2y = -1
7) i) k=2 thn prov. Diff.equation..
ii) draw y = 2 (e^(x^2 - 1))
8i) (5a/(a^2 +4)) +i (-10/(a^2+4))
ii)a=-2
iii) dotted circle with center O and radius = 2units
And perp. Bisector of 2+2i
And shaded region is circle below the perp.bisector
9) vector question
i) angle = 79.7
ii) (i+3j) + m(-8i+7j+3k)
10)i) area = 2 - 17/(e^3)
ii) x-cordinate of M = 2
iii) x-cordinate of P = 1
SAy Thankx to meh also
Wish U Best Of Luck!
June 2011 Attempt:
(order of questions might b a lil' messd up)
1) x>-5/3 or x<-5
2) x= 3.68
3) theta = 180 or 28.9 degrees
4) binomial
i) -2/(1+x) + (x+4)/(2+(x^2))
ii) 5x/2 -3(x^2) + 7(x^3)/4
5) iteration...x = 1.35
6) diff. whr x = ln(tant) ...
Answer:
i)dy/dx = 2 (sin^2)t (cos^2)t
ii)x - 2y = -1
7) i) k=2 thn prov. Diff.equation..
ii) draw y = 2 (e^(x^2 - 1))
8i) (5a/(a^2 +4)) +i (-10/(a^2+4))
ii)a=-2
iii) dotted circle with center O and radius = 2units
And perp. Bisector of 2+2i
And shaded region is circle below the perp.bisector
9) vector question
i) angle = 79.7
ii) (i+3j) + m(-8i+7j+3k)
10)i) area = 2 - 17/(e^3)
ii) x-cordinate of M = 2
iii) x-cordinate of P = 1
SAy Thankx to meh also
Wish U Best Of Luck!
