Solve using Cramer's rule.-2x + 9y - z = 65  x - 8y - 6z = -67 7x + y + z = 30

A. (8, 1, 8)
B. (4, 6, 1)
C. (3, 8, 1)
D. (3, -8, -1)


Answer: C

Mathematics

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Find the particular solution to the given differential equation that satisfies the given conditions.D2y - 4 Dy + 8y = 0; y = 0 when x = 0 and y = e?/2 when x = 

A. y = ex sin 2x B. y = e2x(c1 sin 2x + c2 cos 2x) C. y = e2x sin 2x D. y = e2x cos 2x

Mathematics

Provide an appropriate response.Solve the inequality: (x + 2)(x - 3)(x + 4) < 0

A. -3 < x < 2 or  x > 4 B. x < -3 or 2 < x < 4 C. x < -4 or 2 < x < 3 D. -4 < x < -2 or x > 3

Mathematics

Changes in lifestyles, population size, society's attitudes, educational status and marital status are all examples of demographic trends in the general environment.

Answer the following statement true (T) or false (F)

Mathematics

Write out the first five terms of the sequence.{cn} = 

A. c1 = , c2 = , c3 = , c4 = , c5 = 
B. c1 = , c2 = , c3 = , c4 = , c5 = 
C. c1 = , c2 = , c3 = , c4 = , c5 = 
D. c1 = , c2 = , c3 = , c4 = , c5 = 

Mathematics