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The normal price of the pair of shoes is £28. In a sale the price is reduced by 35%. What is the new price of the shoes?

If you take £28, what is 10% of 28? 2.8 So what is 30% of 28? You would do 2.8 x 3... which is? 8.4 And what is 5% of 28? You would half 2.8...so 1.4 Now add together 30% of 28 and 5% of 28... this gives 9.8...
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Answered by Seyta D. • Maths tutor
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Integrate x*ln(x)

Let u = ln(x) and dv/dx = x Thus du/dx = 1/x and v = x 2 /2 Using the formula: Integral of u dv/dx = u v - Integral of v*du/dx This becomes: Integral of x*ln(x) = (x 2 ln(x))/2 - Integral of x/2 Completing t...
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Answered by Anindita G. • Maths tutor
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Differentiate the function f(x) = 2x^3 + (cos(x))^2 + e^x

When differentiating a function that is the sum of three different parts we can differentiate each part separately: a) 2x 3 is easy to differentiate. We remember the rule d/dx[ax b ] = abx b-1 . So 2x 3 --&g...
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Answered by Seth P. • Maths tutor
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Solve x^2 = 4(x – 3)^2

To solve this equation we need to firast expand it. x 2 =4(x-3) 2 To do this we first expand the brackets. Remeber anything squared means times it by itself (x-3) 2 =(x-3)(x-3) =x 2 -6x+9 This makes the equa...
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Answered by Annabel M. • Maths tutor
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How do you go about sketching a curve when all you are given is the equation?

- First start by examining the equation. Is it in a recognisable form e.g. the equation of a circle/elipse etc. - If not, is it in the form y = or x = (these are the most common forms)? These are the steps y...
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Answered by Trishla S. • Maths tutor
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