The depth (in meters) of water in a reservoir minutes after a storm begins is modeled…
MATHEMATICS · Multi-part · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation
Problem
The depth h (in meters) of water in a reservoir t minutes after a storm begins is modeled by the function
h(t)=0.20t2−1.5t+10.
Respond to each part below.
(a) Calculate h′(4).
(b) State the units of h′(4).
(c) Interpret the value of h′(4) in the context of the reservoir.
(d) Determine the average rate of change of h on the interval 4≤t≤6 and compare it to the instantaneous rate found in part (a). Include units in your comparison.