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Using the Trapezium rule with four ordinates (three strips), estimate to 4 significant figures the integral from 1 to 4 of (x^3+12)/4sqrt(x). Calculate the exact value of this integral, comparing it with your estimate. How could the estimate be improved?

Taking the value at the ordinates f(1) = 13/4, f(2) = 20/4sqrt(2), f(3) = 39/4sqrt(3), f(4) = 9.5 Then the trapezium rule states the integral is approximately 1/2 * [f(1) + 2f(2) + 2f(3) + f(4)], which (usin...
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Answered by Robert M. • Maths tutor
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Solve the simultaneous equations: x2 +y2 =5 and y = 3x + 1

x=-1, y=-2 x=2/5, y=11/5 or 2 and 1/5
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Answered by Emily H. • Maths tutor
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How to incorporate historiography into your A Level History essays?

Historiography (or reference to professional historians's opinions) is a great way to improve the sophistication of your history essays - showing your grasp of the various debates surrounding the topic you a...
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Answered by Clarissa M. • History tutor
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How to incorporate critical commentary into A Level English essays to reach marking criteria?

Showing awareness of critical response to texts is an important marking criteria for English exams - showing you have considered a range of critical opinions is a brilliant way to push your essays into the n...
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Answered by Clarissa M. • English tutor
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How to begin to approach the ELAT paper?

The ELAT should be broken in to 3 stages: first - read through all the texts, paying attention to stylistic qualities about passage that would bear interesting comparison: the ELAT is a comparative test so t...
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Answered by Clarissa M. • ELAT tutor
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