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Solve (x^2 - 4)/(2x+4)

The common mistake the students make is to simplify the fraction before factorising numerator and denominator. Here, we need to see that the numerator: x^2 - 4 is a difference between squares , i.e. A^2 - B^...
MM
Answered by Martina M. • Maths tutor
4337 Views

In year 11, 3/7 of pupils go on holiday abroad in the summer break. Out of these, 1/3 go to France. Determine the ratio of pupils who go to France in summer to pupils who do not go to France in summer.

We can approach this question by breaking it into two steps; first use the information given to work out what proportion of pupils in year 11 went to France. Once we have this, we can go on to find the ratio...
AS
Answered by Anisah S. • Maths tutor
2978 Views

How do you find the x co-ordinates of the stationary points of a curve with the equation y = 10x - 2x^2 - 2x^3

First to find the stationary points, you have to differentiate the equation of the curve y, to give you (dy/dx) = 10 - 4x - 6x^2After differentiating the equations, the points at which the curve is stationar...
DM
Answered by David M. • Maths tutor
3687 Views

The fifth term of an arithmetic sequence is equal to 6 and the sum of the first 12 terms is 45. Find the first term and the common difference.

Arithmatic term n, Un= U1+(n-1)d. Where U1 is the first term of the sequence and d is the common difference. U5=U1+4d=6. U1=6-4d. Sum of arithmatic terms up to term n, Sn=n/2(2U1+(n-1)d). S12=12/2(2(6-4d)+(1...
JS
Answered by Jasmin S. • Maths tutor
9412 Views

Integrate 2x^5 + 7x^3 - (3/x^2)

Integrating x n gives you x n+1 /(n+1).Integral of 2x 5 is 2x 6 /6 = x 6 /3. The integral of 7x 3 is 7x 4 /4.-(3/x 2 ) can be rewritten as -3x -2 . Therefore the integral is -3x -1 /-1 = 3x -1 = 3/x. As it i...
AP
Answered by Alexander P. • Maths tutor
4731 Views