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The answer is £4.90 and we know that this is the case because...If 3 apples cost £1.50, then one apple costs 50p and then 5 apples are 5 x 50p which is £2.50If 4 oranges cost £3.20 then one orange is £0.8...

We are looking for a straight line, so it needs the form y=mx+c. To find our gradient, m, we need the gradient of the curve at the point x=-2, so differentiate the equation: dy/dx=6x²+6x-4, and...

The formula for integration by parts is Integral(udv/dx)dx = uv - Integral(vdu/dx)dx
You use integration by parts when you have an integral where you have to terms multiplied together ie Int...

16y³ + 9x²y - 54x= 0 
a) Differentiate the terms separately dy/dx(16y³ + 9x²y - 54x) = dy/dx(16y³) + dy/dx(9x²y) - dy/dx(54x) ...

So firstly, you need to find two numbers that multiply to make 6 and add to make 5 Make a list of numbers that multiply to make 6 i.e. 16 and 32
So you can either have (x 6)(x 1) OR...