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First explain that to 'solve' means to find the value for 'x'. Then, using the rule of BIDMAS, explain that in order to simplify the process, the first step is to open up the brackets on the left hand sid...

Using the sine rule: sina/A = sinb/Bsinx/16 = sin50/13sinx = 16 * (sin50/13)sinx = 0.943x = 70.5 and 109.5

First solve complementary function, i.e. d²x/dt² + 5dx/dt + 6x = 0. To do so, let x = e^mt, where m = arbitrary constant. Differentiating gives dx/dt = m e^mt and...

y=(x²-1)(x³+3) ...

given u = cos(x), therefore du/dx=-sin(x), as tan(x)=sin(x)/cos(x), can rewrite tan(x)=(-du/dx)/u, therefore integral can become [(-1/u)du], after inegrating you are left with -ln(u)+c, therefore ln(1/u)+...