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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 x 2 - 2x - 24sqrtx. It might hel...
EF
Answered by Elizabeth F. • Maths tutor
8349 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 scheme Settings and places can be used by ...
MS
Answered by Morwenna S. • English tutor
7454 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 Pi y 2 dx from 0 to 1.Squaring, y 2 =1/(x 2 +2x+2)Completing the square, we see that y=1/((x+1) 2 +1)Make the substitution u=x+1, so du=dx. When x is 0, respe...
HG
3043 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 not be communicating ...
HL
Answered by Hannah L. • French tutor
2103 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 item...
TG
Answered by Tara G. • Psychology tutor
20030 Views