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Express the following in partial fractions: (x^2+4x+10)/(x+3)(x+4)(x+5)

(x^2+4x+10)/(x+3)(x+4)(x+1) = A/(x+3) + B/(x+4) + C/(x+1) [A(x+4)(x+1) + B(x+3)(x+1) + C(x+3)(x+4)]/(x+3)(x+4)(x+1) = (x^2+4x+10)/(x+3)(x+4)(x+1) [A(x+4)(x+1) + B(x+3)(x+1) + C(x+3)(x+4)] = (x^2+4x+10) A(x^2...
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Answered by Alessandro S. • Maths tutor
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What is the best way to approach an essay plan in a time-pressured exam based environment?

Step 1: firstly take a breath. Take ten seconds before opening the exam paper to take a deep breath and calm and focus your mind before tackling the question. Step 2: Choose a question that you feel comforta...
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Answered by Isabel M. • History tutor
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Describe how oxygen in the air reaches capillaries surrounding alveoli in the lungs. Details of breathing are not required. (AQA Biol. 2016)

Oxygen diffuses from the air where it is present at a higher concentration and pressure, to the lungs where it is at a lower concentration and pressure - we say it moves 'down' these gradients; high to low. ...
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Answered by David M. • Biology tutor
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‘Governments are the most important players in regeneration’, to what extent is this true for an example you have studied?

A government is a group of people who have authority to govern a country or state and have the power to make decisions that involves the society and the economy. They play a key role in major decisions that ...
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Answered by Udara N. • Geography tutor
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Curve D has equation 3x^2+2xy-2y^2+4=0 Find the equation of the tangent at point (2,4) and give your answer in the form ax+by+c=0, were a,b and c are integers.

Differentiate the equationdy/dx=6x+2x(dy/dx)+2y-4y(dy/dx)Set this equal to zero and solve for dy/dx which gives:dy/dx=(2y+6x)/(4y-2x)For x=2 and y=4 dy/dx=5/3(y-y o )=m(x-x o )y-4=(5/3)(x-2)Thus, the equatio...
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Answered by Vasileios D. • Maths tutor
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