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My favourite way to remember whether my answer is positive or negative when I multiply two numbers is to think of the following: a) If you multiply two numbers with the SAME sign (i.e. two positive numbers o...

(2 + 3^0.5 )^2 - (2 - 3^0.5 )^2 Firstly we will start by seperating the 2 brackets. This will give us 1 : (2+ 3^0.5 )^2 2 : (2 - 3^0.5 )^2 We will start by expanding our brackets. To do this we use the rule;...

What is the intergral of 6.x^2 + 2/x^2 + 5 with respect to x ? To answer a question like this you would intergrate each phrase of the addition in turn with respect to x . To intergrate a single c.x^n phrase ...

Too calculate this we need to increase to total amount of money in the bank by 3% year on year for 6 years. Year 0 £500 Year 1 £500 x 1.03 = £515 Year 2 £515 x 1.03 = £530.45 Notice we use the running total ...

At turning points, the gradient is 0. Differentiating an equation gives the gradient at a certain point with a given value of x. To find turning points, find values of x where the derivative is 0. Example: y...