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The rate of growth of a population of micro-organisms is modelled by the equation: dP/dt = 3t^2+6t, where P is the population size at time t hours. Given that P=100 at t=1, find P in terms of t.
First, we integrate the equation with respect to t to find an equation for P. dP/dt = 3t 2 + 6t Then, P= integral (3t 2 + 6t) dt Integrating gives P= t 3 +3t 2 +c, c is the constant of integration. As we are...
CB
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Claire B.
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Maths tutor
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Explain the cell cycle
The cell cycle is divided into interphase and mitotic phase (and cytokinesis ). Interphase occupies most of the cell cycle (90% in mammals) and can be referred to as the 'resting phase' as no division takes ...
TJ
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Tamanna J.
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Biology tutor
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“Christians should seek to evangelise non-religious people and those of other faiths. Discuss.”
To an extent, Christians should seek to evangelise non-religious people and those of other faiths, simply because the Bible demands it. Paul Eddy asked the Church of England what of position was on the Chris...
EG
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Ed G.
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Religious Studies tutor
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“In ‘Hamlet’, revenge is carried out at the expense of justice.” To what extent do you agree with this view?
Shakespeare presents revenge as being the instinctive response towards crime. Upon finding out of his father’s murder, Hamlet asks the ghost for the identity of the killer, so that “with wings as swift/As me...
EG
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Ed G.
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English Literature tutor
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What causes the different peaks on an ECG?
the heart is myogenic - meaning it can carry an electrical impulse without the use of neurons. This signal causes contraction of the different cardiac chambers it passes through. The ECG, or electrocardiogra...
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Biology tutor
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