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The object of surds is to look for square numbers in each term and take the square root of them. √90=√9√10=3√10 √360=√36√10=6√10 Therefore adding all the terms together 3√10+6√10+5√10=14√10

Amplitude of a periodic function is the maximum height it reaches above the centre line (or the lowest). This expressed in the equation as '3'. If the 3 was not there, then the sin wave would have an ampl...

The 2 in front of the x^2 can cause confusion. In this case, the equation can be divided through by 2, to produce x^2+2x-3=0. From here it can be factorised by working out what adds to make '2' and times ...

Firstly we would differentiate each equation with respect to t to find dx/dt and dy/dt- which gives us dx/dt=t and dy/dt=-4t^-2. Once you have found these you must divide dy/dt by dx/dt (or dy/dt x dt/dx)...

the key to this question is to remove all the unknown denominators. to do this first move the negative fraction to the other side of the equation to get 2x+3/(x-4)=1 + 2x-8/(2x+1). then we need to combine...