1. ENVIRONMENT The predicted cost (in thousands of dollars) for a company to remove of a chemical…

1. ENVIRONMENT The predicted cost (in thousands of dollars) for a company to remove
of a chemical from its waste water is given by the model Write the partial
fraction decomposition for the rational function. Verify your result by using
the table feature of a graphing utility to create a table comparing the original
function with the partial fractions.

2. THERMODYNAMICS The magnitude of the range of exhaust temperatures (in degrees
Fahrenheit) in an experimental diesel engine is approximated by the model where
is the relative load (in foot-pounds).

(a) Write the partial fraction

1. ENVIRONMENT The predicted cost (in thousands of dollars) for a company to remove
of a chemical from its waste water is given by the model Write the partial
fraction decomposition for the rational function. Verify your result by using
the table feature of a graphing utility to create a table comparing the original
function with the partial fractions.

2. THERMODYNAMICS The magnitude of the range of exhaust temperatures (in degrees
Fahrenheit) in an experimental diesel engine is approximated by the model where
is the relative load (in foot-pounds).

(a) Write the partial fraction decomposition
of the equation.

(b) The decomposition in part (a)
is the difference of two fractions. The absolute values of the terms give the
expected maximum and minimum temperatures of the exhaust gases for different
loads. Write the equations for Ymax and Ymin.

(c) Use a graphing utility to
graph each equation from part (b) in the same viewing window.

(d) Determine the expected maximum
and minimum temperatures for a relative load of 0.5.

Q305;

1. PRODUCTION A furniture company can sell all the tables and chairs it produces.
Each table requires 1 hour in the assembly center and hours in the finishing center.
Each chair requires hours in the assembly center and hours in the finishing
center. The companys assembly center is available 12 hours per day, and its finishing
center is available 15 hours per day. Find and graph a system of inequalities
describing all possible production levels.

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