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Gemiola [76]
3 years ago
12

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

Mathematics
1 answer:
Mariulka [41]3 years ago
4 0

Answer:

The answer is 55 6/9, but when simplified, it is 55 1/3

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melisa1 [442]

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Step-by-step explanation:

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Hey I need help a lot of help
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Read 2 more answers
Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli equation.
Mama L [17]

Multiplying both sides by y^2 gives

xy^2\dfrac{\mathrm dy}{\mathrm dx}+y^3=1

so that substituting v=y^3 and hence \frac{\mathrm dv}{\mathrm dv}=3y^2\frac{\mathrm dy}{\mathrm dx} gives the linear ODE,

\dfrac x3\dfrac{\mathrm dv}{\mathrm dx}+v=1

Now multiply both sides by 3x^2 to get

x^3\dfrac{\mathrm dv}{\mathrm dx}+3x^2v=3x^2

so that the left side condenses into the derivative of a product.

\dfrac{\mathrm d}{\mathrm dx}[x^3v]=3x^2

Integrate both sides, then solve for v, then for y:

x^3v=\displaystyle\int3x^2\,\mathrm dx

x^3v=x^3+C

v=1+\dfrac C{x^3}

y^3=1+\dfrac C{x^3}

\boxed{y=\sqrt[3]{1+\dfrac C{x^3}}}

6 0
3 years ago
Solve for m.<br> 4m^n = 49
Sever21 [200]

Answer:

m=49/4

Step-by-step explanation:

7 0
3 years ago
L (3 x 6) (5 x 2 4-7
Verdich [7]
The answer would be 4
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