Establish the identity.sin = (sin x - cos x)

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sin  = sin x cos  - sin  cos x =  (sin x - cos x).

Mathematics

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Decompose the fraction into partial fractions. ?

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Mathematics

Write as the sum and/or difference of logarithms. Express powers as factors.ln  , x > 4

A. 7ln x + ln (1 + 3x) - 9ln (x - 4)
B. ln 7 + ln x - 11ln (1 + 3x) - 9ln (x - 4)
C. ln 7 + ln x + ln (1 + 3x) - ln 9 - ln (x - 4)
D. ln 7 + ln x + ln (1 + 3x) - 9ln (x - 4)

Mathematics

Each side of square MNPQ measures 8 inches. When the midpoints of the sides of the square are joined in order, quadrilateral HJKL is formed. What is the perimeter of HJKL?

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Mathematics

Find the fundamental matrix F for the absorbing Markov chain with the given matrix.

A.
B.
C.
D.

Mathematics