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Dennis_Churaev [7]
3 years ago
7

What is 3 times the sixth power of ten

Mathematics
1 answer:
Ilya [14]3 years ago
3 0
Your answer would be 3000000
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Montano1993 [528]

f'(x)=\dfrac{4x}{1+7x^2}

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f(x)=\displaystyle\int\frac{4x}{1+7x^2}\,\mathrm dx

To compute the integral, substitute u=1+7x^2, so that \frac27\,\mathrm du=4x\,\mathrm dx. Then

f(x)=\displaystyle\frac27\int\frac{\mathrm du}u=\frac27\ln|u|+C

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f(x)=\dfrac27\ln(1+7x^2)+C

Given that f(0)=10, we have

10=\dfrac27\ln1+C\implies C=10

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3 years ago
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Ten cards numbered 1 through 10 are mixed together and then one card is drawn. Find the probability of each event. Write the ans
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