Search over 10,000 free study notes

To begin with we see that y=x³-9x is a positive cubic function, and therefore we know its general shape.The first step is to find the x interecepts. We do this by setting y=0 and solving the re...

Answer: nine-thousand five-hundred (9,500)
There are 9 thousands, 5 hundreds, four tens and 2 units. We need to round the hundreds and the answer we have in 5 hundreds. Because of there being 5 hundr...

For this question you can use a method called the foil method. The F stands for first therefore you times the 2 variables that are first in each bracket. 2x times x which gives you 2x^2. The O stands for ...

Hint: Use the substitution x = 3sin(u)Method: substitute u into the function then times it all by dx/du. Simplify and integrate with respect to u to get u. Then resubstitute x back into the equation to ge...

Firstly, remember that we can write such a line in the form y = mx + c, where x and y are our two axes, m is the gradient of the line, and c is the y-axis intersection point. Given this general formula, w...