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How do I derive the indefinite integral of sine?

The integral of sine is pretty easy to remember as it is -cos + C. However you need to be able to prove this, without using the integral of cosine. This method uses sines exponential form. As e iθ​ = cosθ + ...
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Answered by Lucile C. Maths tutor
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How can I derive the energy of an electron using the electron in a box model?

The electron in a box model uses the idea that the energy of the electron and that of a standing wave in a box are analogous. So using your knowledge of standing waves you can derive an equation for the elec...
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Answered by Lucile C. Physics tutor
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Explain what is meant by codominant alleles.

Codominant alleles are different to the dominant and recessive alleles studied by Mendel in his studies on pea plants. When codominant alleles are expressed together, aspects of both genes are expressed. Thi...
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Answered by Liam P. Biology tutor
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Work out the ratio between the surface area of sphere of radius 6cm and the total surface area of a hemisphere of radius 9cm.

Here you need to use two formulae; one for the surface area of a sphere (4πr 2 ) and one for the area of a circle (πr 2 ). First the surface area of the 6cm radius sphere: Area=4π(6 2 )=144π Second the area ...
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Answered by Liam P. Maths tutor
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Solve the quadratic equation: 5x2+8x+2

Here you need to use the quadratic formula, it cannot be solved by expanding out the brackets. In the formulae for which can be found on the formulae sheet. In this case a=5, b=8 and c=2. This gives: x=(-8±√...
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Answered by Liam P. Maths tutor
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