How is this soln to 16a
|z0+z1| + |z1| >, |z0|
|z0+z1+z2| + |z2| >, |z0 +z1| >, |z0|-|z1|
therefore |z0+z1+z2| >, |z0|-|z1|-|z2| then , |z0 +z1 +z2...Zn| + |Zn| >, |z0|-|z1|-|z2|...|Zn-1| therefore true
Q15 was quite easy except induction someone post soln up for that plz
sorry it should be < typo there,
so the probability that it won't seed is 2/3, and that is 1-0.9 = 0.1
say theres n number of flowers for it to exceed 0.9
let (2/3)^n < 0.1 n Ln(2/3) < Ln(0.1)
so n > Ln(0.1) / Ln(2/3)
Not possible to integrate Ln(y) at 2u level so you must use area of rectangle - area bounded by the x axis
Since e^x cuts the y axis at 1, and at y = e , x = 1
Area of triangle = e x 1 = e units^2 Area of unshaded region = integrate from 0 to 1 [e^x]
Area of shaded region equals...