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First, recognise that 3^2 = 9. Recall the rule for multiplying indices, that (a^b)^c = a^{bc}. Then, substitute 3^2 in place of 9 to get 3^{4x} = (3^2)^{(x-1)/2}. Use the rule for multiplying indices, so ...

Finding f(x) requires integrating the function f'(x), because f(x) is the integral of the given function f'(x). So {integralsymbol} f'(x) dx = {integralsymbol} (3x^2 - 5cos(3x) + 90) dx = x^3 - (5/3)sin(3...

Firstly, let's remember Newton's laws which tell us that in order for something to change direction of motion - like: going around in a circle - a net force needs to be acting on the object. In the case o...

This is a common 15 mark question in A2 Government & Politics Unit4D paper. For addressing the question correctly, firstly you need to define the concept of humanitarian intervention by giving couple ...

Religion is getting the key driving force for conflict in the 21st century after the 9/11 attacks. After the collapse of Soviet Union there was a steady increase in tension between civilizations, which wa...