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Explain the arguments in favour of a proportional electoral system.

Define 'Proportional Representation' - an electoral system where parties gain seats in proportion to the amount of votes they received from the electorateWhat are the benefits?the wishes of the electorate ar...
EH
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How do you differentiate y=ln(x)

I would use the fact that ln is the inverse function of the exponential function e^x to re-write the equation as x=e^y. This can be directly seen by just putting e^y=e^(lnx). Since the definition of a ln(a)=...
MG
Answered by Milo G. • Maths tutor
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Let f be a function defined in the interval (1,\infty) as f(x)=\integral_{e} ^{x^2} t/ln(t) dt. Find the equation of the tangent line to the graph of f at the point whose x-coordinate is sqrt{e}.

The equation of the tangent line to the graph of the function y=f(x) at the point whose x-coordinate is sqrt{e} is given by y-y f =m(x-x f ), where x f =sqrt{e}, y f =f(sqrt{e})=integral_{e}^{e} t/ln(t) dt =...
RM
Answered by Roberta M. • Italian tutor
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Find the area bounded by the curve y=(sin(x))^2 and the x-axis, between the points x=0 and x=pi/2

First, use the identity cos(2x)=(cos(x))^2-(sin(x))^2 along with the identity (sin(x))^2+(cos(x))^2=1 to obtain the integral of 1/2*(1-cos(2x)) as it is not possible to integrate (sin(x))^2 straight off with...
TL
Answered by Thomas L. • Maths tutor
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How can I learn French vocabulary effectively?

In order to memorise French vocabulary effectively you must review the chosen words for AT LEAST 5 minutes a day. There are many different apps from which you can choose to help your learning. For example, V...
EH
Answered by Emily H. • French tutor
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