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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(...

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...

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 w...

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...

It involves choosing more of one and less than another, or choosing something instead of another.This means that 2 options are compared against each other in a scenario to find an optimum that will meet t...