Solved: Dead Sea Researchers who have been studying the

Chapter 4, Problem 74E

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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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