Find the relative extrema of the function and classify each as a maximum or minimum.f(x) = x3 - 12x - 4

A. Relative minimum: (-2, 12); relative maximum: (2, -20)
B. Relative maximum: (5, 61); relative minimum: (-3, 5)
C. Relative maximum: (-2, 12); relative minimum: (2, -20)
D. Relative maximum: (5, 61); relative minimum: (2, -20)


Answer: C

Mathematics

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Find the probability.When a pair of dice is rolled there are 36 different possible outcomes: 1-1, 1-2, ... 6-6. If a pair of dice is rolled 4 times, what is the probability of getting a sum of 5 every time?

A.
B.
C.
D.

Mathematics

Solve the given differential equation. (The form of yp is given.)D2y + 25y = 3 sin 5x (Let yp = Ax sin 5x + Bx cos 5x.)

A. y = c1 sin 5x + c2 cos 5x + x cos 5x
B. y = c1 sin 5x + c2 cos 5x - x sin 5x + x cos 5x
C. y = c1 sin 5x + c2 cos 5x - x cos 5x
D. y = c1 sin 5x + c2 cos 5x - x sin 5x

Mathematics

Solve the problem.

A. D2. B. Z1. C. D1. D. Z2. E. none of these

Mathematics

Translate to a proportion and solve. Round to the nearest hundredth, if necessary.21 is what percent of 50?

A. 0.42% B. 4200% C. 4.2% D. 42%

Mathematics