Chapter 11.3, Problem 38E

(a)

To determine

To find: The average rate of change of the weight of a bighorn yearling over the interval $\left[105,115\right]$.

(b)

To determine

To find: The instantaneous rate of change at $t=105\text{days}$.

(c)

To determine

To sketch: The graph of the function $M\left(t\right)=27.5+0.3t-0.001t^2$ on $\left[5,125\right]\text{by}\left[25,65\right]$.

(d)

To determine

To check: Whether the behavior of the function accurately model the mass of the sheep for the past 125 days.