Determine whether the improper integral is convergent or divergent, and calculate its value if it is convergent.
Diverges
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The argument has a true conclusion. Identify the argument as valid or invalid.A square is a parallelogram.A square has four sides. A parallelogram has four sides.
A. Valid B. Invalid
Perform the indicated operations, expressing the answer in simplest form with rationalized denominators.
(
- 
)
A. 5
- 10
B. 45
C. 25 - 5
D. 25
Solve the problem.Let y(t) be the population of a species of plant that is being harvested, for t ? 0. Consider the harvesting model 
where h is the annual harvesting rate, y0 is the initial population of the species, and t is measured in years. If y0 = 5000, what harvesting rate should be used to maintain a constant population of y = 5000, for t ? 0?
A. h = 5000 yr-1 B. h = 10 yr-1 C. h = 100 yr-1 D. h = 25 yr-1
Provide an appropriate response.A company manufactures two products, X and Y, and the joint-cost function for these products is given by 
where c is the total cost of producing x units of X and y units of Y. Determine the marginal cost with respect to x when x = 450 and y = 550.
Fill in the blank(s) with the appropriate word(s).