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a) A stationary point is any point on the curve that is flat, still, not increasing or decreasing. Another way to think of this is the gradient at a stationary point = 0

Firstly make an equation fo...

The first step that we need to take is to take all the 'x' terms to one side of the inequality. In this case, we can subtract '3x' from both sides to obtain 2x+3 ≤ -6. Then we want to take all the non- x ...

a) This question tests you on using fractions, brackets and quadratic equations.  We should start by trying to make it into a form we know how to deal with. This will be by the balance method. If we multi...

Max and Mins occur where the slope of a graph equals zero. 

To find this, if we take the 1st derivative of a function and set the derivative equal to zero to solve for x. 

The values we solv...

Multiply by 4-y   => t(4-y)=y+2 Expand the brackets  => 4t-ty=y+2 Get all the y's on the same side => 4t-2=ty+y Factor out the y  => 4t-2=(t+1)y Divide by t+1  => (4t-2)/(t+1)=y