Graph each function. Then determine any critical values, infection points, intervals over which the function is increasing or decreasing, and the concavity. f ( x ) = 3 − e − x , for x ≥ 0
Graph each function. Then determine any critical values, infection points, intervals over which the function is increasing or decreasing, and the concavity. f ( x ) = 3 − e − x , for x ≥ 0
Solution Summary: The author calculates the function's critical values, inflection points, interval in which function is increasing or decreasing, and concavity. The formula for a derivative function f(x)
Graph each function. Then determine any critical values, infection points, intervals over which the function is increasing or decreasing, and the concavity.
Compare the graphs of the functions.
Y = In
and Y, = Inx - In 2
Gasoline must contain a percentage X of a special additive. Specifications require that X is between 30 and 35 percent. The manufacturer will make a net profit (L), per gallon, which is given by the function of X:L (X) = $ 0.10 per gallon if 30 < X <35L (X) = $ 0.05 per gallon if 35 ≤ X <40 or 25 < X ≤ 30L (X) = - $ 0.10 per unit if x takes on any other value
a) We know that X~N (33; 9). Calculate E (L).b) Suppose the manufacturer wants to increase its expected net profit by 50%. He intends to achieve this goal, increasing its net profit per gallon sold meeting the specifications (30 < X <35). What should the new net profit be?
University Calculus: Early Transcendentals (3rd Edition)
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