Solved: Dead Sea Researchers who have been studying the
Chapter 4, Problem 74E(choose chapter or problem)
Problem 74A
Dead Sea Researchers who have been studying the alarming rate in which the level of the Dead Sea has been dropping have shown that the density d(x) (in g per cm3) of the Dead Sea brine during evaporation can be estimated by the function
d(x) = 1.66 − 0.90x + 0.47x2,
where x is the fraction of the remaining brine, 0 ≤x ≤ 1.
Source: Geology.
a. Estimate the density of the brine when 50% of the brine remains.
b. Find and interpret the instantaneous rate of change of the density when 50% of the brine remains.
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