Solve the differential equation using the method of variation of parameters.

y" - 5y' + 4y = 4 sin x


Mathematics

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Provide an appropriate response.Andrea scored  on her midterm exam. Her percent score on the exam was 0.71%.

A. True B. False

Mathematics

Solve the problem.Sales for a small clothing company can be modeled by the linear function , where x is the number of years since 2005 and S(x) is in dollars. Find the sales in 2008.

A. $215,283 B. $79,287 C. $207,757 D. $75,524

Mathematics

Solve the problem.The probability of drawing a face card from a standard deck of 52 cards is . The probability of drawing a diamond is . Which card has a higher probability of being drawn, a diamond or a face card? Explain.

A. A diamond, because  is greater than .
B. A face card, because  is greater than .

Mathematics

Find the equation of the hyperbola satisfying the given conditions.Vertices: (0, ±8); asymptotes y = ± x

A.  -  = 1
B.  -  = 1
C.  -  = 1
D.  -  = 1

Mathematics