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The region R is bounded by the curve y=sqrt(x)+5/sqrt(x) the x-axis and the lines x = 3, x = 4. Find the volume generated when R is rotated through four right-angles about the x-axis. Give your answer correct to the nearest integer.

The general formula for a volume of rotation is pi times the integral of y^2. The first step is to square y. this can be done by squaring the first term, squaring the last term and finding twice the product....
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Answered by Matthew H. • Maths tutor
7051 Views

Rationalise the denominator of the following fraction: 1/(√2 + 1)

We start with 1/(√2 + 1) Normally with rationalising surd denominators we multiply the top and bottom of the fraction by the denominator. But this time we have a surd ADDED by a rational number. In this case...
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Answered by Richard M. • Maths tutor
33665 Views

The Curve C has the equation 2x^2-11+13. The point Q lies on C such that the gradient of the normal to C at Q is -1/9. Find the x-co-ordinate of Q

The first ste here is the find the general equation for the gradient tangential to the curve. This is done by differentiation of the equation to give 4x-11=dy/dx. dy/dx is the gradient. Now we are given the ...
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Answered by Matthew H. • Maths tutor
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What is the role of aspect in Russian?

The two forms of aspect in Russian (the imperfective and the perfective) essentially function in the same way as the perfect and imperfect tenses do in other languages. For example, if in English you wish to...
MB
Answered by Matthew B. • Russian tutor
2895 Views

With the use of examples, explain how physical factors can hinder a country's development

Examiners like this question because it asks you to link your knowledge of physical geography to development. It can seem a bit out there if you haven't done much physical geog but you should still be able t...
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Answered by Richard M. • Geography tutor
12488 Views