Determine the volume generated by the revolution of the conic
x = a cosθ and y = b sinθ
about the line x = 2a.
If g is the inverse of f and f'(x)=1/(1+x^3), then prove that g'(x)=1+g'(x)^3.
Determine all possible values of the expression x - [x/2] - [x/3] - [x/6] by varying x in the real numbers.
If F(n) is a function that satisfies F(1)=F(2)=F(3)=1,with:
F(n+1)=(F(n)*F(n-1)+1)/F(n-2) whenever n>=3.
Find the value of F(6)
