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Using a suitable substitution, or otherwise, find the integral of [x/((7+2*(x^2))^2)].

The point of using a substitution when dealing with integrals is to reduce the problem from a very complicated integral to a simplistic one. How can we achieve this with our integral? Well, we know that when...
GF
Answered by George F. • Maths tutor
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Describe and explain how the lungs are adapted to allow rapid exchange of oxygen between the air in the alveoli and blood in the capillaries around them. (5 marks)

The lungs have million of alveoli which increases the surface area , therefore increasing the rate of diffusion of oxygen into the lungs. The alveoli are very thin walled , which reduces the diffusion pathwa...
AZ
Answered by Aysha Z. • Biology tutor
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How would you calculate the total blood volume of the body, without exsanguination?

Inject a solution of known volume into the blood. Allow this to circulate for an appropriate length of time, e.g. 5-10 mins, then take a blood sample. The dilution of the initial solution can then be calcula...
CF
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Explain the main barriers that LEDC's face when attempting to achieve stable, long-term growth

Long-term growth is defined as an increase in the productive capacity of an economy, which is due to the increase in the quality or quantity of an economy's factors of production (FoP). These barriers may in...
RT
Answered by Richard T. • Economics tutor
10796 Views

The polynomial f(x) is defined by f(x) = 18x^3 + 3x^2 + 28x + 12. Use the Factor Theorem to show that (3x+2) is a factor of f(x).

The factor theorem states that if (x+a) is a factor of f(x), then f(-a)=0. This basically means that if (x+a) is a factor of f(x), then when (x+a)=0, f(x)=0, i.e. when x=-a, f(-a)=0. Our (x+a) in this case i...
GF
Answered by George F. • Maths tutor
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