What is the difference in height between an albatross flying at 100 m above the surface of the ocean and a shark swimming 30 m below surface? what is the distance between them if the shark is right below the albatross

130 m

Step-by-step explanation:

Let surface of ocean be at 0 feet (sea level)

The distance from albatross to surface is 100 and the distance from surface to shark is 30 m. The total distance between them is

Distance between shark and albatross is 130 m

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.