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First, imagine that f(x) is written as y: 

y = (3x -6)/2

swap the variables over so you write y as x and x as y:

x = (3y - 6)/2

Next, solve for x...

A curve has parametric equations:

x = 2 + t²                           y = 4t

Find the cartesian equation of this curve.

A cartesian equation of a c...

A stable solution is where neither player should move from their playsafe strategy, as it will only cause a decrease in profit.
Dominance is where one strategy is in every way better than another str...

Firstly we must change it into a form we can deal with. To do this we take the natural log (ln) of both sides.ln(y)=ln(a^x) ln(y)=x(ln(a))    using our rules of logsFrom here we differentiate. T...

For this we are going to test our knowledge of discriminats and factorisation. Firstly we will format the equation as (m+8)x²+8x+(m-7)=0From here we can see it takes the form ax²+bx+...