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First thing first, we should always write down the equation of a straight line (which is y = mx + c) as this will be important for this question.In order to find the equation of the strai...

We can tackle this question by completing the square. Completing the square allows us to write a quadratic equation (x^2+10x+3) in the simpler form (x+a)^2+b.To complete the square, first we need to find ...

Use product rule. d(uv)/dx = u dv/dx +v du/dxu=x du/dx=1v=e^x dv/dx=e^x
d(xe^x)/dx = xe^x + e^x.1 = e^x(x+1)

A quadratic equation such as 6x² + x - 35 = 0 may appear much harder to solve than a simpler equation which students might be more used to, such as x² + 5x + 6 = 0. In reality, there...

(Question 20 in AQA calculator paper from November 2017)This question is really wordy, so the first thing we want to do is condense all the information we are given into more manageable equations! The fir...