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Find the stationary point of y=3x^2-12x+29 and classify it as a maximum/minimum

The stationary point of a curve is where it changes direction, that is the gradient goes from positive to negative or vice versa. At the exact point of the change, the gradient of the curve will be exactly 0...
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Answered by James S. • Maths tutor
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Using mathematical induction, prove that n^3+2n is divisible by 3 for all integers n

To prove this we must use a neat mathematical technique called induction. Induction works in the following way: If you show that the result being true for any integer implies it is true for the next, then yo...
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How to get an A* in History GCSE

History can at times seem very difficult to obtain the highest marks. Unlike subjects like Maths and the Sciences there are no definite answers. However, with the right application and right approach getting...
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Answered by Oscar B. • History tutor
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A given star has a peak emission wavelength of 60nm, lies 7.10*10^19m away and the intensity of its electromagnetic radiation reaching the Earth is 3.33*10^-8Wm^-2. Calculate the star's diameter

With a problem like this, the key is to split it down into component parts. We will treat the star as a perfect emitter and radiator, something known as a black body. There will be two physical laws we need ...
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Answered by James S. • Physics tutor
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What is a mole?

In chemistry the mole (mol) is a basic unit to describe a quantity of substance based on the number of particles (atoms or molecules) that it contains. The number of particles in one mole of substance is 6.0...
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Answered by Tomos P. • Chemistry tutor
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