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...