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Find the solution of 3^{4x} = 9^{(x-1)/2}.

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 tha...
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f'(x) = 3x^2 - 5cos(3x) + 90. Find f(x) and f''(x).

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(3x) ...
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How does circular motion work?

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 of c...
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Answered by Stephanie G. Physics tutor
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Why is humanitarian intervention a controversial issue?

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 of ...
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What is the significance of religion as a cause of conflict in the modern world?

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 was c...
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