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[Pocatello]

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, calculate or approximate using a suitable method, the area between the curve x=-1 and the y axis.

 

[physician]

U should post such questions here:

http://community.boredofstudies.org/forumdisplay.php?f=14

1. U'll have a more likely chance of ppl seeing ur question there!
2. this sub forum is dedicated to discussion on the 2005 HSC Mathematics extension 2 examination!

Thanks alot Pocatello!

By the way, could one of the mods perhaps move this, thanks!

(unless im mistaken, and this is a question from the 2005 exam???...)