Top answers

“Lloyd George was the architect if his own downfall.”- How far do you agree?

This statement is true to a certain extent, however there were some factors that were out of Lloyd George's hands. For example, Lloyd George was not to blame for the state of Britain's economy after the Firs...
OM
Answered by Oliver M. • History tutor
4701 Views

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
3143 Views

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
14310 Views

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
2015 Views

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
5647 Views