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Gnom [1K]
3 years ago
14

What is a reducing sugar?

Biology
1 answer:
icang [17]3 years ago
4 0
Reducing sugar is any sugar (all monosaccharides, some disaccharides, oligosaccharides, and polysaccharides) that is capable of acting as a reducing agent because it contains free aldehyde group or free ketone group.

Aldehyde group or alkanal is an organic compound containing formyl group. The formyl group is a functional group consisting of a carbonyl center bonded to hydrogen and an R group. This group can be readily reduced to primary alcohol with the help of catalyctic hydrogenation either applied directly or by transfer hydrogenation.

Ketone group unlike aldehyde group does not have a hydrogen atome bonded to the carbonyl group but it can still be hydrogenated.
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Write out the form of the partial fraction decomposition of the function (See Example). Do not determine the numerical values of
maw [93]

Answer:

a.\frac{A}{x}+\frac{B}{x^2}+\frac{C}{x^3}+\frac{Dx+E}{x^2+5}

b.\frac{A}{x+3}+\frac{B}{x-3}+\frac{C}{(x-3)^2}+\frac{D}{(x+3)^2}

Explanation:

a.We are given that

\frac{x^4+7}{x^5+5x^3}

\frac{x^4+7}{x^5+5x^3}=\frac{x^4+7}{x^3(x^2+5)}

Using partial fraction decomposition of the given function

\frac{x^4+7}{x^3(x^2+5)}=\frac{A}{x}+\frac{B}{x^2}+\frac{C}{x^3}+\frac{Dx+E}{x^2+5}

Using the formula

\frac{1}{x^3(x^2+a)}=\frac{A}{x}+\frac{B}{x^2}+\frac{C}{x^3}+\frac{Dx+E}{x^2+a}

b.\frac{2}{(x^2-9)^2}

\frac{2}{(x^2-3^2)^2}=\frac{2}{(x+3)^2(x-3)^2}

Using property a^2-b^2=(a+b)(a-b)

\frac{2}{(x+3)^2(x-3)^2}=\frac{A}{x+3}+\frac{B}{x-3}+\frac{C}{(x-3)^2}+\frac{D}{(x+3)^2}

Using the property

\frac{1}{x^2}=\frac{A}{x}+\frac{B}{x^2}

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