# integration C4 question please pos rep<--------Watch

#1
the curve C has two arcs and equations

x=3t2 and y=2t3 where t is aparameter

a) find the equation of tangetnt to C at point P where t=2
done that y=2x-8

b) the tangent meets the curve again at point Q show that the co-ordinates are (3,-2)

c) the shaded regiuon R is bounded by the arcsOP and OQ of the curve C and the line PQ find the area of R

its page 113 question 2 of edexcel book if anyone has it

many thanks
0
12 years ago
#2
b) so it's y=2x-8

2t^3 = 2(3t^2)-8
t^3-3t^2+4=0=(t-2)(t^2-t-2)=(t+1)(t-2)^2

plug t=-1 in...

c) i'm not putting much effort in, but this seems to be a bit of a *****. you can convert into cartesian form, integrate between 0 and 12, 0 and 3, and add a few triangles, but that's a bit fiddly...
0
#3
i made t the subject as (x/3)^1/2 and put that into the y equation and it didnt work maybe i did it wrong but yeah it does seem rather long

ahhh i didnt see that why does one put t=-1 in ??
0
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