Decompose into partial fractions.

A. -  +  + 
B. -  +  + 
C. -  -  + 
D.  +  - 


Answer: B

Mathematics

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Evaluate the improper integral or state that it diverges.

A. -  ln 3
B.  ln 2
C.  ln 3
D. 2 ln 3

Mathematics

The profit P, in thousands of dollars, for a certain company depends on the number n of items produced. The relationship is given by

? . ? A: Plot the graph of the profits versus number of items produced.B: What number of items produced will result in maximum profit?C: The marginal profit is the rate of change .  What is the value of  at the production level you found in part B? What will be an ideal response?

Mathematics

Solve the problem.Suppose c(x) = x3 - 20x2 + 30,000x is the cost of manufacturing x items. Find a production level that will minimize the average cost of making x items.

A. 9 items B. 12 items C. 11 items D. 10 items

Mathematics

Determine whether the pair are two equivalent expressions, two equivalent equations, or neither.x + 5 = 16 and x = 11

A. expressions B. equations C. neither

Mathematics