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Step 1) Write out the general equation of a straight line: y = mx + c where m is the gradient and c is where the line intersects the y-axis. Step 2) Find the gradient: m...

dr/dt propto -1/r^2 and integrate to find equation linking radius and time with boundary conditions. Set r = 0, answer is 7mins 37 seconds.

First write down any two factors of 36 (numbers that multiply together to give 36). Let's use 2 x 18. We now need to break these numbers down into prime factors. 2 is already a prime number, so we only ne...

First we expand the brackets on the numerator and collect the terms together. We need to get rid of the square root term on the denominator, and we do this by multiplying the numerator and denominator by ...

To solve these simultaneous equations I will use the substitution method. This method consists of finding out the value of one of the variables (X and Y) and then substituting this value into the other eq...