Carrie, a marine biologist is performing experiments along the continental slope off of the coast of Baja, California where the biodiversity is very dynamic. Scientists have
proven that biodiversity is closely linked to the temperature of the water. Carrie wants to
monitor the temperature of the ocean at different depths along the continental slope, to
help record the changes in biodiversity due to changes in the temperature of the water.
At the same time she does not want the robot to crash into the continental slope, so she
needs to take into effect the speed of the currents.
Earlier scientists have found that the speed of the ocean current as a function of depth.
The speed, S, depends on depth, d, according to the following formula.
S(d) = 3d +1
Where S is measured in meters per second and d is measured in meters.
Suppose that the depth of a research robot depends on time, t, according to the formula