3. A watershed of 525 km2, mean annual precipitation of 950 mm/yr, and mean annual evapotranspiration of 275 mm/yr, and infiltration of zero mm/yr, will yield a a) mean annual streamflow of how many mm/yr; b) average streamflow in m3/sec

just needed some points but try socratic

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.