A research team uses a submarine to study coral reefs. The reefs are located at a depth of 245.67 feet from the ocean floor. If the submarine is 116.39 feet away from
the ocean floor, what is the depth it needs to cover to reach the coral reef?
Your answer

think about it deeply and passionately about this property

i am sorry

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.