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Determine the stationary points of y=(5x^2)/(lnx)

Differentiate y with respect to x using quotient rule:y'=[(1/x)(5x^2)-(10x)(lnx)]/(lnx)^2 =[5x-10xlnx]/(lnx)^2Stationary points occur when y'=0, so when y'=0 we have:5x-10xlnx = 0x(5-10lnx)=0So x=0 or 5-10ln...
JL
Answered by Jimmy L. • Maths tutor
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What is attachment and what are the three main attachment styles according to Bowlby and Ainsworth?

Attachment is a homeostatically driven bond between the infant and their primary caregiver, evolutionarily aimed to protect the infant from danger and increase chances of good care. Attachment is thought to ...
SL
Answered by Sarah L. • Psychology tutor
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Discuss treatment of the body in D.G. Rossetti's 'Jenny'.

Rossetti’s Jenny materialises the male gaze through its speaker who is scrutinising a prostitute, or a ‘fallen woman’, through his inherently patriarchal lens. The audience immediately get a sense of the pow...
JD
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Explain the process of ultrafiltration in the kidney.

Ultrafiltration begins in the nephron in the kidney. Blood travels through a coiled structure of capillaries called the glomerulus surrounded by the Bowman's capsule. The hydrostatic pressure of the flow of ...
NM
Answered by Nuala M. • Biology tutor
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Find, using calculus, the x coordinate of the turning point of the curve y=e^(3x)*cos(4x) pi/4<x<pi/2 (Edexcel C3)

The turning point of a curve is the point at which the gradient is 0 as from there it stops rising and starts falling or vice versa. To find this we differentiate y with respect to x (dy/dx) to find the gene...
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Answered by James W. • Maths tutor
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