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How do I do integration by parts?

Say we have an equation with the product of two subjects in the form f(x) = u(x)v(x). Differentiating is simple, we would just multiply the differential * of u(x) by v(x) and add the differential of v(x) tim...
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Answered by Doug A. • Maths tutor
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How does MRI work?

MRI stands for magnetic resonance imaging and uses the application of a magnetic field and radio frequency photons to manipulate the spin state of protons (hydrogen nuclei). Hydrogen is one of the most abund...
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Answered by Sebastian V. • Biology tutor
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How do I calculate the percentage by mass of a metal within an impure substance?

For this question we will look at Sodium Sulphite (Na 2 SO 3 ) and its titration against Potassium Permanganate (KMnO 4 ). This requires acidic conditions. In this example we need to know several things: Tha...
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How is skeletal muscle contraction initiated and sustained?

Skeletal muscle contraction consists of two stages. The first is the initiation by the nervous system and the events leading up to myofibril interactions. The second is the actual shortening of sarcomeres, w...
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How do you find the nth term formula for a sequence with non-constant difference?

Take the sequence; 9, 12, 19, 30, ... (1) The first step is always to look at difference between the terms; 9, 12, 19, 30, ... +3, +7, +11, ... +4, +4, ... We can see the difference is not constant, (2) so w...
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Answered by Richard S. • Maths tutor
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