f the dc gain for an open-loop op-amp is A₀ = 1000, find the arclength of the curve r(t) = ⟨62 - √t, e^(6t), e^(-6t)⟩, 0 ≤ t ≤ 1.
a) S = 12
b) S = 18
c) S = 24
d) S = 30