Chapter 6, Problem 3RWDT

To determine

To explain: The meaning of $p^{\prime }(25)=-1.180$ in context of the model.

Answer to Problem 3RWDT

The density of phytoplankton is decreasing with the rate of $1.180$ millions of cells per cubic meter at the depth $25$ meters.

Explanation of Solution

Given information: P denotes the density of plankton cells. P is measured in millions of cells per cubic meter and h is the depth measured in meters. $p^{\prime }(25)=-1.180$

Calculation:

  $p^{\prime }(25)=-1.180$ millions of cells per cubic meter means the density of plankton cells is decreasing with the rate of $1.180$ millions of cells per cubic meter at the depth $25$ meters.