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alexandr1967 [171]
3 years ago
11

Rewrite in simplest radical form

Mathematics
1 answer:
zheka24 [161]3 years ago
8 0

Answer:

sqrt(x)

Step-by-step explanation:

1/ ( x^(-3/6))

We can simplify the fraction

1/ ( x^(-1/2))

A negative exponent means that since it is in the denominator, it goes to the numerator.  It still keeps the exponent.

x^ (1/2)

sqrt(x)


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Answer:

The answer is below

Step-by-step explanation:

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b)

\frac{dQ}{dx}=3-\frac{2Q}{3+x}\\  \\\frac{dQ}{dx}+\frac{2Q}{3+x}=3\\\\let\ u'=\frac{2u}{3+x}\\\\\frac{u'}{u}=\frac{2Q}{3+x}\\\\ln(u)=2ln(3+x)\\\\u=(3+x)^2\\\\(3+x)^2Q]'=3(3+x)^2\\\\(3+x)^2Q=(3+x)^3+c\\\\Q(0)=11\\\\(3+0)^2(11)=(3+0)^3+c\\\\x=72\\\\Q=x+3+\frac{72}{(x+3)^2}\\ \\Q(3)=3+3+\frac{72}{(3+3)^2}=8\ mg

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