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First, find the centre of the circle. Since we know the equation of the circle, we know that the centre (-g,-f) comes from the part of the equation -12x-6y, where -12=2g and -6=2f. Therefore, to get the c...

When a question asks for rate of change, this means you need to differentiate the equation. First you need to put the equation into differentiable a form ie, with the no variables on the denominator: f(t)...

This question is not particularly tricky as long as it is read carefully.
First, calculate the masses of the Star and the Exoplanet. Double the mass to find the star mass (M). To find the planet mas...

Once you note that the height is constant, the key thing to remember here is that there is no unbalanced force acting on the mass. By this, I mean that since the mass is not accelerating (it is actually a...

Example; Let vector v = (2,5,2) and vector u = (1,-2,3),then u · v = [(2 x 1) + (5 x -2) + (2 x 3)] = [2 -10 + 6] = -2 As the workings hopefully make clear in the line above, the general formula for the s...