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.

The price is based on these factors:

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