Jupellodseple804

2022-02-17

Does there exists some simple criteria to know when the primitive of a rational function of

In fact my question is more about the stability of this property. Let P and Q two co' polynomials and let A and B two co' polynomials such that

Then considering a pertubation

Kwame Malone

Beginner2022-02-18Added 5 answers

One simple criterion is the following. If the denominator of f has squarefree factorization $Q}_{1}{Q}_{2}^{2}\dots {Q}_{n}^{n$ then f has a partial fraction expansion $\frac{{P}_{1}}{{Q}_{1}}+\dots +\frac{{P}_{n}}{{Q}_{n}^{n}}$ , which is the derivative of a rational function $\iff$ each $\frac{P}{{Q}^{i}}$ is $\iff Q\mid W(P,{Q}^{\prime},{\left({Q}^{2}\right)}^{\prime},\dots ,{\left({Q}^{i-1}\right)}^{\prime})$ , where W denotes the Wronskian. Recall that the squarefree factorization of a polynomial over a field of characteristic 0 may be quickly computed by gcds.

$\frac{20b}{{\left(4{b}^{3}\right)}^{3}}$

Which operation could we perform in order to find the number of milliseconds in a year??

$60\cdot 60\cdot 24\cdot 7\cdot 365$ $1000\cdot 60\cdot 60\cdot 24\cdot 365$ $24\cdot 60\cdot 100\cdot 7\cdot 52$ $1000\cdot 60\cdot 24\cdot 7\cdot 52?$ Tell about the meaning of Sxx and Sxy in simple linear regression,, especially the meaning of those formulas

Is the number 7356 divisible by 12? Also find the remainder.

A) No

B) 0

C) Yes

D) 6What is a positive integer?

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149600000000 is equal to

A)$1.496\times {10}^{11}$

B)$1.496\times {10}^{10}$

C)$1.496\times {10}^{12}$

D)$1.496\times {10}^{8}$Find the value of$\mathrm{log}1$ to the base $3$ ?

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write $\sqrt[5]{{\left(7x\right)}^{4}}$ as an equivalent expression using a fractional exponent.

simplify $\sqrt{125n}$

What is the square root of $\frac{144}{169}$