Solve the differential equation.

9y" + y = 0


Mathematics

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Find the solution to the system of equations by the substitution method.

A. (5, 7) B. (4, 8) C. (-4, 7) D. (8, 4)

Mathematics

Neilsen Cookie Company sells its assorted butter cookies in containers that have a net content of 1 lb. The estimated demand for the cookies is 1,000,000 1-lb containers. The setup cost for each production run is $500, and the manufacturing cost is $.50 for each container of cookies. The cost of storing each container of cookies over the year is $.40.

?
Assuming uniformity of demand throughout the year and instantaneous production, how many containers of cookies should Neilsen produce per production run in order to minimize the production cost?
?
Hint: Show that the total production cost is given by the function .
?
Then minimize the function C on the interval (0, 1,000,000).
?

A. 50,000
B. 45,000
C. 40,000
D. 65,000

Mathematics

Solve. =  + 

A. - 
B.
C.
D. 0

Mathematics

Find the integral.

A.  + C
B.  + C
C.  + C
D.  + C

Mathematics