Solve the problem.In how many ways can 5 people each have different birth months?

A. 60
B. 792
C. 248,832
D. 95,040


Answer: D

Mathematics

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Answer the question.Consider a function f(x, y, z), where the independent variables are constrained to lie on the curve (t) = x(t)i + y(t)j + z(t)k. What mathematical fact forms the basis for the method of Lagrange multipliers?

A. f approaches a local extremum as ? ? 0.
B. ?f? = 0
C. ?f??g = 0
D. ?g = 0

Mathematics

Indicate whether the statement is true always, sometimes, or never.The product of a pair of complex conjugates is a real number.

A. Always B. Sometimes C. Never

Mathematics

Match the given function to its graph.1) y = sin x2) y = cos x3) y = -sin x4) y = -cos xAB?CD?

A. 1A, 2D, 3C, 4B B. 1C, 2A, 3B, 4D C. 1B, 2D, 3C, 4A D. 1A, 2B, 3C, 4D

Mathematics

Solve.451 = n ? 11

A. 4,961 B. 451 C. 41 D. 440

Mathematics