Consider the spiral given parametrically by
x(t) = 3e-0.3t sin (6t)
y(t) = 3e-0.3t cos(6t)
on the interval 0 ≤ t ≤ 6.
a. Fill in the expression which would complete the integral determining the arc length of this spiral on 0 ≤ t ≤ 6.
b. Determine the arc length of the given spiral on 0 ≤ t ≤ 6.
c. Now determine the arc length of the given spiral on [0, ∞).