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June 2008 C1 Paper Differentiation Question

a) ask student: purpose of differentiation (i), how to perform differentiation (ii) (i) to find the gradient of a curve (ii) multiply the coefficient of x by its indice then minus one from the indici perform...
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Answered by Nicola G. • Maths tutor
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Using the result: ∫(2xsin(x)cos(x))dx = -1⁄2[xcos(2x)-1⁄2sin(2x)] calculate ∫sin²(x) dx using integration by parts

Recall that ∫uv'=uv- ∫u'v Set u=sin²(x), v'=1 Therefore u'=2sin(x)cos(x) and v=x which gives us the following: ∫sin²(x)dx = xsin²(x) - ∫2xsin(x)cos(x)dx The second integral in the above expression is given i...
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Answered by Nick M. • Maths tutor
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Explain the different types of receptors involved in regulating breathing rate

Chemoreceptors - detect changes in co2 levels barocreptors- detect changes in blood pressure mechanoreceptors - detect changes in movement
MS
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How should I answer a 10 Mark history essay question during an exam?

From my experience, when answering a ten mark question, especially during the exam, a key factor is do not overwrite, but put emphasis on quality over quantity during your answer. Most importantly stick to t...
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Answered by Peter F. • History tutor
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Write the number 0.000000001 in standard form.

1 x 10^-9
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Answered by Abigail H. • Maths tutor
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