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\begin{array}{c} Working\, from\, Gurmies\, work, \\ since\, each\, string\, experience\, a\, tension\, then\, we\, have \\ T_1\geq 0\, and\, T_2\geq 0 \\ T_2\geq 0\Rightarrow \frac{1}{2}(\frac{5mv^2}{64}-\frac{5mg}{3})\geq 0 \\ \frac{5mv^2}{64}\geq \frac{5mg}{3} \\ v^2\geq \frac{64g}{3} \\...

\begin{array}{c} S=\frac{a(r^n-1)}{r-1} \\ =\frac{5(5^n-1)}{5-1} \\ =\frac{5^{n+1}-5}{4} \\ from\, inspecting\, graph\, \\ \underset{0}{\overset{n}{\int }}5^xdx<\frac{5^{n+1}-5}{4} \\ and\, therfore \\ \underset{0}{\overset{n}{\int }}5^xdx<\frac{5^{n+1}-1}{4}\, \, (s\, ince\, 4>0) \end{array}...

The locus can be upper or lower depending on where n is greater than or less than 1. If n is positive, then the locus is the upper semi circle with centre you have found and radius (root 5)/2. If n is negative then the locus is the lower semicircle with same radius and centre.

You have to be in top 21.7% to get in band 6 for Music 2, as for IPT you have to be top 3.2%. If you do well in it, i suppose scaling doesnt affect you that much though it would depend on the subject. Music 2 is a more difficult course, if you plan to do some computing course in uni then i...