17) The volume of a cylinder is V = pi*r2*h
Now we are told the volume is 400cm3
So V = pi*r2h = 400cm3
Now make h the subject
pi*r2h = 400
h = 400/(pi*r2)
Surface area of a cylinder is A = 2*pi*r(r+h)
So sub in h as the above expression.
A = 2*pi*r(r+400/(pi*r2)
= 2pi*r2+800/r...
a) 2x+2y = 30, letting the length be x and width be y.
y = (30-2x)/2 = 15-x
Area of rectangle = length*width = xy = x(15-x) = 15x-x2
A = 15x-x2
dA/dx = 15-2x
dA/dx = 0 for stationary points
15-2x = 0
x = 7.5
d2A/dx2 = -2 < 0 thus negative concavity so maximum turning point =...
15. Let the radius of the semi-cirlce be x and the length of rectangle be y.
Perimeter = pi*2x/2 (semi-circle, circumference = pi*diameter = pi*2x) + 2y (lengths of rectangle) + 2x (other side of rectangle which happens to be the diameter of the circle)
So P = pi*x + 2y + 2x = 4m (given to...
The board of studies use "chemical properties" in this context to mean half life, type of radiation emitted etc. It is used incorrectly though since chemical properties actually means the ways in which atoms interact via electron transfer, sharing etc rather than the way the 'nucleus' changes.
Thank you. I will consider having this one up my sleeve if need be. :) The trouble is I am already doing Summer Heights High so I would be doubling up the visual/film medium.
As I continue to embrace the thought of the girl's beautiful trumpet tune and fall off to sleep many people go outside for a night on the town. I call them ghosts awakening from hibernation i.e. their daytime slumber/work etc. That make sense?
Basically a fancy way of saying that people go...