Determine whether the improper integral is convergent or divergent.

A. Convergent
B. Divergent


Answer: A

Mathematics

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Solve the problem.A lake is stocked with 557 fish of a new variety. The size of the lake, the availability of food, and the number of other fish restrict growth in the lake to a limiting value of 3481. The population of fish in the lake after time t, in months, is given by the function P(t) = . After how many months will the population be 694?

A. 7 mo B. 17 mo C. 12 mo D. 1 mo

Mathematics

Triangle ABC is a right triangle with sides of lengths a, b, and c and a right angle at C. Find the indicated trigonometric function value of A. Rationalize denominators containing radicals.b = , c = 8; find tan A.

A.
B.
C.
D.

Mathematics

Find the current yield. Round to the nearest tenth of a percent.You invested $6,775 in 125 shares of stock. During the following year, the company paid dividends of $2.25 per share.

A. 2.4% B. 0.4% C. 24.1% D. 4.2%

Mathematics

Divide the first polynomial by the second and state the quotient and the remainder.2x4 - x3 - 15x2 + 3x, x + 3

A. Quotient: 2x3 - 7x2 + 6x - 15; remainder: -45 B. Quotient: 2x3 - 5x2 + 3; remainder: -9 C. Quotient: 2x3 - 7x2 + 6x - 15; remainder: 45 D. Quotient: 2x3 + 5x2 + 3; remainder: 9

Mathematics