Question

Compute the curvature of (5t cos(t), 6 sin(t)) at t = a. Use the equation k(t)=\frac{\left|x^{\prime}(t) y^{\prime \prime}(t)-x^{\prime \prime}(t) y^{\prime}(t)\right|}{\left(x^{\prime}(t)^{2}+y^{\prime}(t)^{2}\right)^{3 / 2}}

Fig: 1

Fig: 2

Fig: 3