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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
8056 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
2279 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
2345 Views

A 100g mass is on a circular turntable spinning at 78 revolutions per minute. The maximum frictional force between the mass and turntable is 0.50N. Find the maximum distance from the center of the turntable at which the mass would stay on the turntable.

First, draw a diagram as it makes the problem easier to understand. Show the turntable and mass. Label the distance between the mass and the centre of the turntable r as it is a radius. write down all var...

AC
Answered by Amy C. Physics tutor
5873 Views

The braking distance of a road train travelling at 15m/s is 70m. Assuming that the same braking force is applied at all speeds, show that the braking distance of a road train when travelling at 25m/s is about 190m.

Energy = force x distance and Energy = 0.5 x mass x velocity squared

Hence, force = (0.5 x mass x velocity squared) / distance --- (equation 1) This applies for both situation A and B, and given th...

JJ
Answered by Jack J. Physics tutor
10428 Views

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