Recent content by ben297

I really like this problem. I won't give away how I solved it but I'd be interested to know if others get the same answers. A=\frac{25}{6}(5\pi-6\sqrt{3}) P=\frac{35\pi}{3} Note: The problem doesn't explicitly state if the two smaller circles lie inside or outside the larger circle. The...

I was able to prove that over the domain 0 < t < a Re(t^i) and Im(t^i) both have infinitely many turning points. a can be any positive real number of any magnitude. :)

Considering the function f(t) = Re(t^i) where i is the imaginary unit How many turning points exist between t=0 and t=1? Similarly, considering the parametric function x(t) = Re(t^i) y(t) = Im(t^i) (which appears to trace out a unit circle), how many revolutions does this...