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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 ra...

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 statio...

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)...

Integrating xⁿ gives you xⁿ⁺¹/(n+1).Integral of 2x⁵ is 2x⁶/6 = x⁶/3. The integral of 7x³ is 7x⁴/4.-(3/x²) can be rew...