Question

Find the partial fraction decomposition of the rational function. 9?^2 − 9? + 6 all over 2?^3 − ?^2 − 8? + 4

Answer #1

1. Find the partial fraction decomposition of the rational
function:
(2s − 4)/(s^2 + s)(s^2 + 1)
2. Find:
∫ (9x)/(sqrt. root(25-x^2)) dx + ∫ (3)/(sqrt.
root(25-x^2)) dx (use C for constant of integration).
3. Evaluate the following integral:
∫ 17t sin^2(t) dt

Find the partial fraction decomposition of the following
rational expression.
3x3 + 11x2 + 24x + 43
(x + 3)2(x2 + 2)

I need to write the partial fraction decomposition of this
rational exprression
-3y2 + 2y +8 / y3 +4y2+4x

Find the partial fraction decomposition of ?(?) = 11?−10/ ?
2−?−2

Use partial fraction decomposition to find the inverse Laplace
transform of the given function.
(a) Y (s) = 2 /(s 2+3s−4)
(b) Y (s) = 1−2s /(s 2+4s+5)
differential eq

There are two ways to find the unknown coefficients of partial
fraction decomposition. The second method involves using "nice"
values of x that are actually zeros of the denominator. So, the
rational function we want to decompose is undefined for them,
nevertheless, this method works, why?

Write the partial fraction decomposition of the following
rational expression.
(x^2-5x+12)/(x-5)(x-2)(x+1)

After finding the partial fraction decomposition, ∫
(10x^2−27x−38)/((x^2+4)(x−6))dx = ?dx
Notice you are NOT antidifferentiating...just give
the decomposition.

integration by partial fraction decomposition from -2 to 2.
(x^3+2)/((x+5)(x+4))dx

1-(Partial Fraction Decomposition Revisited) Consider the
rational function 1/(1-x)(1-2x)
(a) Find power series expansions separately for 1/(1 − x) and
1/(1 − 2x).
(b) Multiply these two power series expansions together to get a
power series ex-pansion for
1 (1−x)(1−2x)
(This involves doing an infinite amount of distributing and
combining coeffi-cients, but you should be able to figure out the
pattern here.)
c) Separate the power series in terms of power series for A/(1 −
x) and B/(1 − 2x)...

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