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Question: Line A has a gradient of 4 and passes through point (5,6). Line B passes through points C (0,5) and D (2,0). Find the coordinates of the point where the two lines intersection. Solution: First of a...

In general, we could apply the formula to work out the solutions of a quadratic function ax 2 +bx+c=0. The b 2 -4ac part is called the discriminant and the value of a discriminant could allow us to know the ...

Composite functions can be thought of as 'functions within functions'. For example, let's suppose that f(x) = x 3 g(x) = x + 5 defined for all real numbers. (Note: composite functions may have a different no...

Why do I have to add +c when I integrate? First of all remember that you only need to include the +c if you are integrating without limits (ie you don’t have the two numbers at the top and bottom of the inte...

A complex number has the form a+bi. We call a the 'real' bit (ie. the bit on a regular number line) and b is the 'imaginary bit. Multiplying complex numbers is done in a very similar way to multiplying out b...