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Maths
A Level

(5 + 2(2^0.5))(7 - 3(2^0.5))

23 - 20.5

Answered by Naman W. Maths tutor
2585 Views

Find the binomial expansion of ((x^2) − 5)^3

This is a typical Core 2 maths AS question.

I would start by explaining how a formula can be used to expand this expression and similar ones. I would then explain how to create pascal's triangle an...

Answered by James C. Maths tutor
5358 Views

The first term of an arithmetic series is a and the common difference is d. The 12th term is 66.5 and the 19th term is 98. Write down two equations in a and d then solve these simultaneous equations to find a and d.

The first step is to recall the formula for arithmetic progressions: u(n) = a + (n-1)d We can then put all the information given in the question into this so u(12) = 66.5 = a + 11d and u(19) = 98 = a ...

Answered by Eleanor W. Maths tutor
6683 Views

A curve has equation (x+y)^2=x*y^2, find the gradient of the curve at a point where x=1

  1. Differentiating left hand side: 2(x+y)(1+dy/dx) from the chain rule 2. Differentiating right hand side: y2+2xy(dy/dx) from the product rule 3. Equating sides and taking out factors of dy/...
Answered by Peter K. Maths tutor
3683 Views

Find the equation of a straight line that passes through the coordinates (12,-10) and (5,4). Leaving your answer in the form y = mx + c

Finding the gradient (m): The gradient is the change in y-axis over the change in x-axis Δy = -10-4= -14        Δx = 12-5=7 Δy/Δx = -14/7 = -2 Ac...

Answered by Martin M. Maths tutor
8159 Views

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