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Maths
A Level

Express [1+4(square root)7] /[ 5+ 2(square root)7] in the form m + n (square root)7 , where m and n are integers.

Using a whiteboard would help greatly with this question so that the steps can be seen clearly.1) Multiply both the numerator and the denominator by 5 - 2(square root)7 2) FOIL the top half of the equatio...

Answered by Ella W. Maths tutor
6692 Views

Solve 5x/(2x+1) - 3/(x+1) = 1

This is an algebraic fractional equation. Dealing with algebraic equations and adding/subtracting fractions is not too bad, so we'll need to think about both when looking at this questions.1) Firstly, we ...

Answered by Jacob G. Maths tutor
6922 Views

Sketch the graphs of y = f(x), y = g(x) and find the point(s) where f and g intersect.

f and g can be any linear, quadratic or cubic equation in terms of x, with exponential functions, logarithmic functions and modulus functions etc. May also be given a specific domain given. Sketch first, ...

Answered by Tommy P. Maths tutor
3298 Views

Find the sum of the first n odd numbers, 1+ 3 + … + 2n-1, in terms of n. What might a mathematician’s thought process be?

[Answer for a Further Maths A level student]: We could just apply the formula for summing an arithmetic series, but this won’t give a good understanding of why the answer we get is correct, which...

Answered by Amlan B. Maths tutor
3434 Views

Differentiate the following, y=(2x-4)^3

dy/dx = 3(2x-4)^2 x 2
dy/dx= 6(2x-4)^2
dy/dx =24(x-2)^2

Answered by Charlie G. Maths tutor
5101 Views

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