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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 (u...

RM
Answered by Robert M. Maths tutor
7299 Views

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

EH
Answered by Emily H. Maths tutor
7370 Views

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 yo...

CM
Answered by Clarissa M. History tutor
1822 Views

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 th...

CM
Answered by Clarissa M. English tutor
1965 Views

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 compa...
CM
Answered by Clarissa M. ELAT tutor
1347 Views

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