Search over 10,000 free study notes

putting in the conditions: 18000 = 2000e^3k ..  ln(9) = 3k .. k=(1/3)ln(9)

Rearrange the equation so that the x terms and y terms bracketed together, like so: (x^2 - 4x) + (y^2 + 10y) - 115 = 0. Complete the square on both sets of brackets, giving (x - 2)^2 - 4 + (y + 5)^2 - 25 ...

If you imagine a timeline (would draw out a line on the whiteboard here), the imperfect appears at some extended period over this. It is important to remember that the imperfect encompasses the ideas: som...

There are several ways of including quotations in essays. I believe the best way is to use lots of quotations and ensure that they are embedded in your answer as to keep the argument smooth. Here is a goo...

With "to what extent" questions, you are being asked to choose which factor is the most important in a given event or outcome. For example - let's say your question is asking, "To what exte...