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topjm [15]
3 years ago
15

Find a formula for the function f(x) such that f′(x)=(ln(x))^2/x and f(2)=6

Mathematics
1 answer:
Rzqust [24]3 years ago
4 0
F(x)= ∫ln²x/x dx= ∫ln²xd(lnx) cause d(lnx)= (lnx)'dx=1/x dx
= ln³x/3 +C with C is constant
In addition, we have f(2)=6, so we have 6=ln³2/3+C
or C= 6- <span>ln³2/3
And f(x)= </span>ln³x/3+ <span> 6- </span><span>ln³2/3</span>
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Step-by-step explanation:

Did you mean :

f(x) = 5(4 - x)

f(16) = 5(4 - 16)

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Answer:

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1) We can see that the diameter is 10 yd, and the radius is half of the diameter, then the radius is:

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Replacing these in the area equation, we get:

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4) Here is hard to see the measures, I think that here we have:

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times it by to add that number

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