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specific heat capacity of water, c = 4200J/kgK
First student should understand that due to no heat losses the energy provided by mains socket to kettle is the same energy as the heat which changes th...

Although most poems in Blake's 'Songs of Innocence and Experience' can be paired together, the two "Holy Thursday"'s and "The Chimney Sweeper"'s are perhaps best placed to directly com...

S = e^ix - (1/2)e^3ix + (1/4)e^5ix - … is an infinite geometric series, equal to a/(1 - r). a = e^ix and r = (1/2)e^2ix thus S = e^ix/(1+(1/2)e...

The neuromuscular junction describes the chemical connection between a presynaptic nerve, and the muscle fibre membrane (sarcolemma). Depolarisation of the presynaptic nerve membrane (by propagation of an...

To find stationary points, we need to find dy/dx and set it equal to 0. Here we must use implicit differentiation: d/dx(x²) + d/dx(-xy) + d/dx(y²) = d/dx(12). Hence 2x - x(dy/dx) - y...