Find the curvature at the given point

[rtareen]

Hello,
The picture is my attempt at finding the curvature at the point where t = 0. I got 2sqrt(2). The correct answer is 2^(-3/2). What did I do wrong?

 

[Romsek]

the equation is

[MATH]\kappa = \dfrac{\|r' \times r''\|}{\|r'\|^3}[/MATH]
You didn't cube the denominator.

 

[pka]

To: rtareen, here is a suggestion: first evaluate \(r'(0)~\&~r''(0)\) to make the calculations easier.