## Thomas' Calculus 13th Edition

The definition of average rate of change is $\frac{R(θ2) - R(θ1)}{θ2-θ1}$. R(θ) = $\sqrt 4θ +1$ Interval = [0, 2] $\frac{R(2) - R(0)}{2-0}$ R(2) = $\sqrt 4.2 +1$ = $\sqrt 9$ = 3 R(0) = $\sqrt 4.0 +1$ = $\sqrt 1$ = 1 $\frac{3 - 1}{2-0}$ = 1