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Describe the role of the heart and lungs in the oxygenation of blood in humans. Why is oxygen is essential for the functioning of the human body.

The main purpose of oxygen in the body is for respiration. Respiration is a biochemical reaction, by which the body produces energy in the form of ATP to complete both cellular and other functions. This p...

RH
3171 Views

Let n be a positive integer. Find the continuous functions f:ℝ->ℝ with the property that integral from 1 to x of f(ln(t)) dt=x^n ln(x) for all positive real numbers x.

Differentiating the integral equation with respect to x we obtain: f(ln(x))=nxn-1ln(x)+xn-1=x

Answered by Maths tutor
1631 Views

integration by parts: x^-2lnx

u=lnx du/dx = 1/x dv/dx=x^-2 v= -1/x =uv - (integral of)vdu/dx (-lnx)/x + integral of x^-2 =(-lnx)/x - 1/x +c

FS
Answered by Fraser S. Maths tutor
4705 Views

When completing creative writing questions, how do I get my readers attention?

When completing a creative writing piece, the aim is to draw your readers attention straight away so they are focused and interested from the beginning and therefore for the rest of your writing. This cou...

KB
1838 Views

If a right angled-triangle has sides A,B,C where A = 4 and B = 3 what is the value of side C?

This problem can be solved using Pythagoras Theorem equation: A2 + B2= C2 (see diagram for explanation)
Substitute the numbers given in the question into this equatio...

GW
Answered by Gina W. Maths tutor
3229 Views

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