The U.S. population is approximated by the function  where P(t) is measured in millions of people and t is measured in 30-year intervals, with  t = 0  corresponding to 1930. What is the expected population of the United States in 2020 ( t = 3 )?
?

A. 408.0 millions
B. 322.6 millions
C. 616.3 millions
D. 325.6 millions


Answer: B

Mathematics

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Use the graph of the function f(x) to locate the local extrema and identify the intervals where the function is concave up and concave down.

A. Local maximum at x = 3; local minimum at x = -3 ; concave up on (0, -3) and (3, ?); concave down on (-3, 3) B. Local minimum at x = 3; local maximum at x = -3 ; concave up on (0, -3) and (3, ?); concave down on (-3, 3) C. Local minimum at x = 3; local maximum at x = -3 ; concave up on (0, ?); concave down on (-?, 0) D. Local minimum at x = 3; local maximum at x = -3 ; concave down on (0, ?); concave up on (-?, 0)

Mathematics

Provide an appropriate response.Perform the indicated operation and simplify:   

Fill in the blank(s) with the appropriate word(s).

Mathematics

Find the domain of the function.f(x) = log6 (36 - x2)

A. x < -6 and x > 6 B. -36 < x < 36 C. -6 < x < 6 D. -6 ? x ? 6

Mathematics

Find the first five terms of the sequence

Mathematics