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Could someone please help with these questions? 1) Prove that cos(nx) can be expessed as a polynomial of degree n in cos(x). 2) Create a function that has the following properties: a) Two stationary points b) One point of inflection at x=5 c) An asymptote at x=-2 d) For the function...

Why divide by 15?

What do you think? a) (9!/3!2!2!2!)/(10!/3!2!2!2!)

5 rectangular tables are arranged in a circle, each table seats three people on the long side. How many arrangements are possible if people(15 in total) may sit on the outside or inside of the circle? Thanks

If all the letters making up the word Wollongong are placed in to a hat and drawn out, what is the probability of: a) The word beginning with an 'o' b) The word having no two identical letters in a row c) At least one 'l' placed between the 'g''s Thanks