hey, sorry no idea how to use latex and um might wanna check this but i got:
u^2=x+2
so differentiating both sides at once gives you:
2udu=dx
from the given substitution we can deduce that
x=u^2-2
so ...
integral of x-2/root (x+2)dx
= integral of u^2-2-2/root of u^2 multiplied by 2udu...
two points P(6p,3p^2) and Q(6q,3q^2) lie on the parabola x^=12y
a) find the equation of the tangent at p
b) the tangents at p and q intersect at the point t, find the coords of the point t
c) if the angle between these tangents is 45 degrees prove that p-q=pq+1
i've done part a) and b) however...
does anyone know fo any short stories (i mean short as in really short) that i can use? my main links will most likely be links with family landscape and effects of mental illness
so anything taht fits with that would be great
thanks in advance :)
ps not really looking for anything that will...
Damnit, i tried to use the stupid latex thing and failed twice and wasted alot of time haha :( sorry you are just going to have to read this
1) y=x^3+2
y'=3x^2
when x=1
y'=3
when x=1, y=(1)^3+2=5
.'. the point is (1,5)
using the formula: y-y1=m(x-x1)
we get: y-5=3(x-1)
y-5=3x-3
.'. 3x-y+2=0...
Question:
The diagram shows a point P(2ap,ap^2) on the parabola x^2=4ay
The normal to the parabola at P intersects the parabola again at Q(2aq, aq^2)
The equation of PQ is x-py-2ap-ap^3=0 (DO NOT PROVE THIS)
i) Prove that p^2+pq+2=0
ii) If the chords OP and OQ are perpendicular, show that p^2 =2
yeah i dont get this either
what wuold teh answer be if you had to write down the parametric equation for the parabola
x^2=-4y
would it be
a=-1
x=-2t, y =-t^2?
HELP, DOES ANYONE HAVE ANY ACCOUNTING PAST PAPERS?? OR NOTES OR ANYTHING
MY EXAM IS IN LIKE A WEEK AND A HALF AND IM SCAREDDDD
i am somehow incredibly bad at correction of errors and depreciation :@
Its so hard for me to understand disposal of non current assets!
Any help would be appreciated...