Find the absolute extremum within the specified domain.Maximum of f(x) = x2 - 4; [-1, 2]

A. (1, -3)
B. (-2, 0)
C. (-1, 3)
D. (2, 0)


Answer: D

Mathematics

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Solve the problem.Evaluate  at (u, v) = (3, 1) for the function z = xy - y2; x = u - v, y = uv.

A. -1 B. 4 C. 5 D. 2

Mathematics

Find the particular solution to the given differential equation that satisfies the given conditions.y'' + 12y' + 36y = 0; y' = 5 and y = 1 when x = 0

A. y = (1 + 11x)e-6x  B. y = (C1 + C2x)e-6x  C. y = (1 - 11x)e-6x  D. y = (1 + 11x)e6x 

Mathematics

Find the values of x for which given series converges.

A. -10 ? x ? -8 B. -10 < x < -8 C. -9 < x < 9 D. 8 < x < 10

Mathematics

A deck of cards contains 52 cards. These cards consist of four suits (hearts, spades, clubs, and diamonds) of each of the following: 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, and ace. If a card is chosen from a deck of cards, find the probability of each event.Selecting the 9 of clubs

A.
B.
C.
D.

Mathematics