Search over 10,000 free study notes

This problem can be solved through substitution. The first equation provided in the question should be rearranged to give y=2x-2. This equation for y can be directly substituted into the second equation. ...

3^(3/2) = a * 3^(1/2)
3^(1/2) * 3^(-2) = 3^(3/2)Therefore a must be equal to 3^(-2)a = 1/9

When solving a simultaneous equation, we will use the elimination method. This method sees us removing or ‘eliminating’ the x or y term. First we need to find the lowest common multiple of the x and y ter...

f'(x) = (3/8)x^2 - 10x^(-1/2) + 1Each term must be integrated (increase the power by 1 and divide by the new power), remembering to include + c.f(x) = (3/8)(x/3)^3 - 10*(2x)^(1/2) + x + cf(x) = (...

First we need to rearrange our equation so it is in the correct form of ax²+bx+c=0.So we'd move the 3 over to the left hand side to give us 2x2-2x-3=0.We need to use the quadratic formula. Usin...