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Prove that the difference of any two consecutive square numbers is odd

It is important we first define what we mean by an odd and even number. An even number is any integer (whole number) number divisible by 2 so we can express any even number as 2x where x is any integer. When...
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Answered by Amar H. • Maths tutor
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The tip of each prong of a tuning fork emitting a note of 320Hz vibrates in SHM with an amplitude of 0.50mm. What is the speed of each tip when its displacement is zero?

As with any question that lists numbers, the first thing to do is to note down the known variables: f = 320 Hz A = 0.50 mm x = 0 mm v = ? This requires use of two of the simple harmonic motion (SHM) equation...
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Answered by Ellie S. • Physics tutor
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How do I approach and present my Artist Research

The best way to do this is to approach it with originality. Express your own opinions of the Artist and their work. If you have had the opportunity to see the artists work in an exhibtion, include this withi...
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Answered by Nancy N. • Art tutor
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What is the Pythagoras Equation?

a^2 + b^2 = c^2
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Answered by Nancy N. • Maths tutor
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Differentiate y = e^(x^2 - 3x).

This question is an example of the chain rule for differentiating. Firstly, identify the inner function. In this case, it is x 2 - 3x. This function must be differentiated first: d/dx (x 2 - 3x) = 2x - 3 Sec...
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Answered by Ellie S. • Maths tutor
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