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A table has diameter 130cm. What is the area, as a multiple of Pi

Since the diameter is 130cm, the radius is half of this, so it is 65cm Area is Pi radius 2 . This means the area is Pi (65cm) 2 This means the area is Pi*4225cm 2
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Answered by Jesse P. • Maths tutor
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When is the inequality x^4 < 8x^2 + 9 true?

If we consider this like a normal quadratic problem, this becomes easy x 4 &lt; 8x 2 + 9 x 4 - 8x 2 - 9 &lt; 0 (x 2 -9)(x 2 +1) &lt; 0 This means there are roots of this expression at x 2 = 9 and x 2 = -1 Si...
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Answered by Jesse P. • MAT tutor
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Why does e^ix = cos(x) + isin(x)

If you look at the Taylor series expansion of e x: e x = 1 + x + x 2 /(2!) + x 3 /(3!) + x 4 /(4!)... If you then make this e ix , you get 1+ix - x 2 /(2!) - ix 3 /(3!) + x 4 /(4!)... If we split this into r...
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How does the product rule for differentiation work

The chain rule works so that if you have y=f(x)g(x), where f(x) and g(x) are functions of x, dy/dx = f'(x)g(x) + f(x)g'(x)
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Answered by Jesse P. • Maths tutor
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In what ways might we consider 'The Love Song of J. Alfred Prufrock' by T.S. Eliot a Modernist poem?

A: We might first consider the form of the poem. Does there appear to be any strict metre or rhyme scheme? No, there does not. We can however see that Eliot is toying with rhyme and metre in places, in ways ...
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