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Differentiate with respect to x, x^2*e^(tan(x))

Use the product rule: d/dx(uv) = uv' + u'v, with u = x^2 and v = e^(tan(x)), so that u' = 2x and v' = sec^2(x) * e^(tan(x)), and so the answer is 2x * e^(tan(x)) + x^2 * sec^2(x) * e^(tan(x)) .
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Answered by Jakub H. Maths tutor
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Explain why alkenes can have stereoisomers

Alkenes have stereoisomers because no free rotation possible around the C=C double bond, as to do so would break the pi-bond between the two atoms. which requires energy to break.
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Answered by Jakub H. Chemistry tutor
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Find the area of the surface generated when the curve with equation y=cosh(x) is rotated through 2 pi radians about the x axis, with 2<=x<=6

Use the formula for the surface area of revolution, which requires dy/dx. So find dy/dx = sinh(x) and substitute dy/dx and y into the formula with the limits provided in the question (2 and 6). Then evaluate...
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Evaluate relative merits of monetary and fiscal policy measures for governments wanting reduced unemployment in the UK. (20 marks)

Introduction - definitions of monetary policy, fiscal policy, and unemployment. Monetary policy is expansionary - rate of interest decreased, value of savings decreased, spending increased, borrowing increas...
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Answered by Kira B. Economics tutor
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How do I structure my A- level History essay?

Don’t overlook structure, a clear and cohesive structure is essential for securing the top marks in any essay. Whether, it be history or a biology essay. Before even starting your essay, planning is a necess...
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Answered by Emily T. History tutor
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