Find the absolute extremum within the specified domain.Maximum of f(x) = (x + 1)2(x - 2); [-2, 1]

A. (2, 0)
B. (-1, 0)
C. None
D. (-2, 1)


Answer: B

Mathematics

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The position vector of a particle is r(t). Find the requested vector.The velocity at t = 2 for r(t) = (4 - 2t2)i  + (10t + 2)j - e-2tk

A. v(2) = 8i + 10j + 2e-4k B. v(2) = -8i + 10j - 2e-4k C. v(2) = -8i + 10j + 2e-4k D. v(2) = -4i +10j + 2e-4k

Mathematics

Construct a truth table for the statement.(t ? s) ? (~t ? ~s)

A.

TTF
T F F
F T T
F F T
B.
TTT
T F T
F T T
F F F
C.
TTT
T F F
F T F
F F T
D.
TFF
F T F

Mathematics

Perform the indicated operation

Mathematics

Solve.In the first year of production, Little City Productions produced and sold 3102 thousand of its Little City Collectible Bears. In the 6th year, the number of these bears produced and sold had dropped to 468 thousand. Find the change in the number of bears produced, and find the average change per year in the number of bears produced in this 6-year period.

A. change: 2634 thousand bears average change: 439 thousand bears B. change: 2634 thousand bears average change: -439 thousand bears C. change: -2634 thousand bears average change: 439 thousand bears D. change: -2634 thousand bears average change: -439 thousand bears

Mathematics