Search over 10,000 free study notes

Step 1: read the question, and highlight all the important informationStep 2: assign null and alternate hypothesesStep 3: determine which tail you are looking at using the expected value and the given inf...

There are two stages to this problem: substituting x into the original equation and then expanding out the answer and simplify it. So, with the first stage, we replace every old 'x' with the new form in t...

Firstly, rearrange the equation to group the 'x' terms together, and the 'y' terms together.x^2 + 6x + y^2 -8y = 24'Complete the square' on each of the x and y groups:(x + 3)^2 - 9 + (y - 4)^2 - 16 = 24Re...

Integration can be conceptually understood in 2 different ways. firstly it is the reverse process of differentiation (Indefinite integration). Secondly it is used to work out the area under a curve (Defin...

y = arcsin(x) implies sin(y) = x
Differentiating with respect to x gives: cos(y)*dy/dx = 1So: dy/dx = 1/cos(y)
Noting that cos(y) = sqrt(1 - sin^2(y)): dy/dx = 1/sqrt(1 - sin^2...