Some English, some current affairs, some Maths (half a module), some Science. GCSE level Maths.
Not even a little bit. Less than 10% of universities will count it as an A-level. However, some schools make it compulsory (like mine), because they get extra money and their exam results look better.
An ellipse has an equation which can be written parametrically as:
x = a cos(t)
y = b sin(t)
It can be proved that the circumference of this ellipse is given by the integral:
\int^{2\pi}_0 \sqrt{a^2 \sin^2 t + b^2 \cos^2 t} \ \ dt
Prove that, if a=r(1+c) and b=r(1-c), where c is a...
You insert the value of x and see if it matches, e.g.
f(x) = -2x+1
f(-x) = -2(-x) + 1
= 2x+1
so it isn't even...
Do a similar thing to test if it is odd (be careful with the brackets)
If there was an acceleration of 4m/s forwards, then the magnitude would just be the 4. If you have been given it in vector form (e.g. 4i + 3[b]j[/j]) then Pythagorus would have to be used.
Right hand side.
You start with K.E. = \frac{1}{2}mv^2
Then multiply both sides by m, but to keep them the same you must divide by m, i.e.:
K.E. = \frac{1}{2}mv^2 . \frac{m}{m}
K.E. = \frac{m^2 v^2}{2m}
K.E. = \frac{(mv)^2}{2m}
Then use the fact that p = mv to get:
K.E. = \frac{p^2}{2m}...
I don't think that's right. Speed and Distance are both scalar quantities - they have no direction to them. So (unlike velocity), a negative speed does not mean going backwards - it's not really comparable to anything in the real world.