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From the question we have y = -x - 2 so we can sub in -x-2 everywhere there is a y in the first equation.

The equation is then 2x+4(-x-2) = -12 expanding the brackets we get -2x-8=-12 which you can...

cos(theta)-(4/3)cos³(theta)

a) What can we find from what we have been given?

dx/dt and dy/dt

How can we relate these values to dy/dx?

In the context of equations that only contain two variables, their derivativ...

Intergrating with respect to time, you get that v = u + at. Knowing that velocity is just the rate of change of your position ds/dt = v, and sustituting the previous expression for v, you get ds/dt = u + ...

The key thing to remember with fractions, is that adding and subtracting them require a COMMON DENOMINATOR. We achieve this by multiplying both the top and bottom of fractions by a number that allows us t...