Well here's my attempt at the first one.
$We have the polynomial $ p(x)=x^2 + bx + c $, where $ c $ and $ b $ are real.$
$Let the roots be $ \alpha, \beta $ such that $ |\alpha| < 1 $ and $ |\beta|<1.
$From sum and products of roots, it follow that $ \alpha + \beta = -b $ and $ \alpha...
As stated above, 1eV = 1.6 x 10^-19 J
eV stands for electronvolt, it's just another unit of energy, but it is related to an electron. You could use joules, it doesn't matter.
It's not hard, it is fun though, was probably my favourite topic in MX2! When you first look at it, it looks hard, but when you do it it's not really :p
When the car is going down the hill, the forces acting upon it are
F=mg(\frac{1}{30}) - kv_d^2 \\ $The car is travelling at a constant velocity, and so $ F=0 \\ mg(\frac{1}{30}) = kv_d^2 \\ k = \frac{mg(\frac{1}{30})}{v_d^2}
Now that we know k, we have everything we need to find the force...
Not to bad, question 5 was annoying because it made me draw 5 sin waves -.-
And it got delayed for an hr for some reason. Something about power failure in some other tents, so we had to wait so we all started at once. But the other 1131 group started on time so Idk...