Search over 10,000 free study notes

Check for any silly mistakes, a lost negative or a simple arithmetic error. If you can’t find any, we’ll work through the question together and see where the method differs from yours. Then we will work o...

Probability that Ria takes Green then Blue is 7/9 * 2/8 = 14/72. Probability that Ria takes Blue then Green is 2/9 * 7/8 = 14/72. Added together we get 28/72 = 7/18.

3x^2 = 48 x^2 = 16 x = 4

use u = 1+ln(x) as the substitution du/dx = 1/xdx = x du ∫ (ln(x)/(x*(1+ln(x))^2) dx = ∫ ((u-1)x/ x(u^2)) du = ∫ (u-1)/(u^2) du

f(x) = 5/(x-4)To find the inverse, replace f(x) with y: y=5/(x-4)Now the aim is to make x the subject of the equation:Multiply both sides by x-4:y(x-4)=5Divide by y:x-4=5/yAnd finally add 4:x=5/y + 4