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A curve C has equation y = x^2 − 2x − 24sqrt x, x > 0. Prove that it has a stationary point at x=4.

A stationary point is where the curve has 0 gradient. So to prove that x=4 is a stationary point, we must find the equation of the first derivative. To do this, differentiate x2 - 2x - 24sqrtx....

Answered by Elizabeth F. Maths tutor
6848 Views

How do the poets Thomas Hardy and T. S. Eliot make use of settings and places to signify their central concerns?

Whilst explaining my response I would highlight the use of the different assessment objectives in my answer, to show where my answer is picking up marks on the mark schemeSettings and places can ...

Answered by Morwenna S. English tutor
5860 Views

Find the volume of revolution about the x-axis of the curve y=1/sqrt(x^2+2x+2) for 0<x<1

The volume of revolution is given by integrating Piy2 dx from 0 to 1.Squaring, y2=1/(x2+2x+2)Completing the square, we see that y=1/((x+1)2+1)Make the subst...

Answered by Harry G. Further Mathematics tutor
1742 Views

When do I use the perfect or imperfect tense?

When talking about the past in French, the two commonly used tenses are the passé composé and the imparfait. It is important to consider which of these tenses to use, otherwise you may n...

Answered by Hannah L. French tutor
1390 Views

Outline what psychological research has shown about short-term memory according to the multi-store model of memory.

According to the multi-store model of memory, short-term memory is a unitary store with a very limited capacity and finite duration. Miller (1956) demonstrated that short-term memory has a capacity of 7 i...

Answered by Tara G. Psychology tutor
15498 Views

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