Solve the logarithmic equation.ln x = 8Give your answer in exact form.

A. e8
B. 8e
C. ln 8
D. 100,000,000

Answer: A

Mathematics

Solve the differential equation.y'' + 8y' - 5y = 0

A. y =e^x (C₁ e^-4x + C₂ e^4x )
B. y = e^4x(C₁e^x + C₂e^-x )
C. y = e^-4x(C₁e^x + C₂e^-x )
D. y = e^-4x(C₁ cos x + C₂ sin x )

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Mathematics

Arrange the fractions in ascending order. Or, if the fractions are equivalent, answer "Equivalent".,

A. Equivalent
B. ,
C. ,

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Mathematics

Solve the system.y = x2 - 8y = -x2

A. (0, 0), (-2, -4) B. (0, 0), (2, -4), (-2, 4), (0, 8) C. (-2, -4), (2, -4) D. (0, 0), (-2, -4), (2, -4), (0, -8)

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Mathematics

Find the probability of the given event if a year is selected at random.Easter Sunday falls on a Monday.

A. 0
B.
C. 1
D.

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Mathematics