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This is an exapmle of the addition rule as part of the logorithm syllabus. 

The general rule is log_ab + log_ac = log_a(b*c)

When the base of the logarithm is t...

The question is asking us to simplify; in particular, we have to simplify a fraction. We simplify a fraction by cancelling a factor from both the numerator and the denominator. We can apply this algebraic...

First of all, you should find the angle between the vector and the normal of the plane using the rule cosX=a.b/modamodb. The normal can ...

In most core 1 papers this kind of question is usually asked. First of all an asymptote is a line that is close to an axis but never touches it. Now look at the graph as a normal reciprocal graph of y=1/x...

Using the product rule we know that dy/dx = uv' + vu' where u = 3x^3; v = e^x. e^x differentiates to itself multiplied by any number in front of the x. u' = 9x^2; v' = e^x. Therefore dy/dx = 3x^3e...