For Exercises 55-56, find the partial fraction decomposition for the given expression. [Hint. Use the substitution u = e x and recall that e 2 x = e x 2 . ] − 3 e x − 22 e 2 x + 3 e x − 4
For Exercises 55-56, find the partial fraction decomposition for the given expression. [Hint. Use the substitution u = e x and recall that e 2 x = e x 2 . ] − 3 e x − 22 e 2 x + 3 e x − 4
Solution Summary: The author explains the partial tion decomposition for the given expression, -3ex-22
For Exercises 55-56, find the partial fraction decomposition for the given expression. [Hint. Use the substitution
u
=
e
x
and recall that
e
2
x
=
e
x
2
.
]
Write out the form of the partial fraction decomposition ofthe function (as in Example 6). Do not determine the numericalvalues of the coefficients.
(t 6 +1 ) / (t 6 +t 3 )
Write out the form of the partial fraction decomposition of the function (as in this example). Do not determine the numerical values of the coefficients.
B) (x^2)/(x^2+x-56)
Determine whether the statement, "Because (x + 3)2 consists of two factors of x + 3, I set up the following partial fraction decomposition: (5x + 2)/(x + 3)2 =A/(x + 3) + B/(x + 3)", makes sense or does not make sense, and explain your reasoning.
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