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Neporo4naja [7]
2 years ago
9

Ramon uses models to compare two decimial he says 0.09 greater than 0.1 because 9>1 which of these explain ramon's mistake

Mathematics
1 answer:
Shalnov [3]2 years ago
5 0

Answer:

Ramon's mistake was that he used whole numbers in comparison to decimals, which is not an accurate way to solve. Think about it this way, 0.1 is the tens place, 0.01 is the hundreds place. Which would be greater 100% of the time? The hundreds place, in decimal terms, the hundredths.

0.09 is greater than 0.1

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\underbrace{35x^4y+14x^5y-2y^3-4xy^3}_M\,\mathrm dx+\underbrace{7x^5-6xy^2}_N\,\mathrm dy=0

M_y=35x^4+14x^5-6y^2-12xy^2
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This suggests an integrating factor depending on x only is possible, and given by

\mu(x)=\exp\left(-\displaystyle\int\frac{N_x-M_y}N\,\mathrm dx\right)=e^{2x}

Distributing across the ODE, we end up with

\underbrace{(35x^4y+14x^5y-2y^3-4xy^3)e^{2x}}_{M^*}\,\mathrm dx+\underbrace{(7x^5-6xy^2)e^{2x}}_{N^*}\,\mathrm dy=0

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{M^*}_y={N^*}_x=(35x^4+14x^5-6y^2-12xy^2)e^{2x}

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\implies f(y)=C

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F(x,y)=(7x^5y-2xy^3)e^{2x}=C
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