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Use the geometric series e^(ix) - (1/2)e^(3ix) + (1/4)e^(5ix) - ... to find the exact value sin1 -(1/2)sin3 + (1/4)sin5 - ...

S = eix - (1/2)e3ix + (1/4)e5ix - … is an infinite geometric series, equal to a/(1 - r). a = eix and r = (1/2)e2ix thus S = eix/(1+(1/2)e...

Answered by Adam B. Further Mathematics tutor
2370 Views

Describe the process of synaptic transmission at the neuromuscular junction.

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...

Answered by Eleanor M. Biology tutor
2033 Views

Find the coordinates of the sationary points on the curve x^2 -xy+y^2=12

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...

Answered by Adam B. Maths tutor
8737 Views

Why do first ionisation energies decrease down a group but increase across a period?

The nucleus contains positively charged protons which attract the negative electrons, the first ionisation energy is the energy required to overcome this attraction and remove 1 electron As you go down a ...

Answered by Amy M. Chemistry tutor
1588 Views

Can you do a mock interview with me?

I will prepare various questions based on their personal statement, and depending on if the interview they are preparing for is MMI or panel style, I will prepare several stations each looking for differe...

Answered by Aniqa M. Medical School Preparation tutor
983 Views

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