3 years ago

Which choices are equivalent to the expression below? Check all that apply

Mathematics

1 answer:

Iteru [2.4K]3 years ago

4 0

Answer:

Step-by-step explanation:

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If f'(x)=2/x and f(sqrt(e))=5, then f(e)=

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$f'(x)=\dfrac2x$
$\implies f(x)=\displaystyle\frac2x\,\mathrm dx=2\ln|x|+C$

$f(\sqrt e)=5\implies 5=2\ln|\sqrt e|+C$
$\implies 5=\dfrac22\ln e+C$
$\implies C=4$
$\implies f(x)=2\ln|x|+4$
$\implies f(e)=2\ln|e|+4=6$

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3 years ago

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