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Express 56 as the product of its prime factors

2×2×2×7 - for complete method to find prime factors; could be shown on a complete factor tree.

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Work out the value of 81^(-1/4) (Non-Calculator)

To answer this question, we have to think about our power rules and use them to slowly simplify this complicated expression:81^-1/4 = ((81)^1/2)^-1/2 (Because ((x)^y

Answered by Reece P. • Maths tutor

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Use Implicit Differentiation to find dy/dx of the following equation: 3(x)^2 + 8xy + 5(y)^2 = 4

(This is a common question in C4, the "hardest" module of the old A level)When differentiating we consider each term one at a time:Differentiating 3x² simply gives us 6x Differentiati...

Answered by Reece P. • Maths tutor

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What's the difference between a dominant 7th, a diminished 7th and a major 7th chord?

The dominant 7th is commonly used in classical and jazz repertoire to lead back to the tonic, often as part of a perfect cadence. Referring to the dominant 7th chord itself, the 3rd rises by a semitone an...

Answered by Edward H. • Music tutor

15705 Views

What is more important, close reading or big ideas?

It's important to remember that we generally use close reading to facilitate wider discussion about texts, not as an 'end in itself', so it is important to have a combination of both in your essays. The e...

Answered by Alexandra M. • English Literature tutor

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