Mathematics, 15.06.2021 06:20 YARETZYVENCES2144
Which expression represents the correct form for the quotient and remainder, written as partial fractions, of
8x? - 2x2 - 67x β 242
2r? - x-21
B
A+ --
*+3
+
28-7
Bx+c
Dx +E
+
x+3
2x - 7
Ax+B+
Π‘
D
+
+3 2x - 7
Cr+D
Ax+B+
+3
21-7
Answers: 1
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Prove (a) cosh2(x) β sinh2(x) = 1 and (b) 1 β tanh 2(x) = sech 2(x). solution (a) cosh2(x) β sinh2(x) = ex + eβx 2 2 β 2 = e2x + 2 + eβ2x 4 β = 4 = . (b) we start with the identity proved in part (a): cosh2(x) β sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 β sinh2(x) cosh2(x) = 1 or 1 β tanh 2(x) = .
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Which expression represents the correct form for the quotient and remainder, written as partial frac...
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