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pickupchik [31]
3 years ago
12

The answer to this question?

Mathematics
1 answer:
makkiz [27]3 years ago
4 0

Answer:

80000 metres

Step-by-step explanation:

The scale i'm assuming is 1 cm : 20000 m

Multiply 4 (for you are solving for 4 cm) to both sides of the ratio:

1(4) : 20000(4)

4 : 80000

80000 metres is the actual distance when the map shows 4 cm.

~

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For this case we have the following function:
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 We have then:
 f '(5) = 4 &#10;
 Answer:
 
the derivative of f(x) = 4x + 7 at x = 5 is:
 
4
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3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cint%5Climits%5E5_1%20%7B%20%5Cfrac%7BlnR%7D%7B%20R%5E%7B2%7D%20%20%7D%20%5C%2C%20dR%20"
alex41 [277]
Integrate by parts, setting

\begin{matrix}u=\ln R&&\mathrm dv=\dfrac{\mathrm dR}{R^2}\\\mathrm du=\dfrac{\mathrm dR}R&&v=-\dfrac1R\end{matrix}

So the integral is

\displaystyle\int_1^5\frac{\ln R}{R^2}\,\mathrm dR=-\dfrac{\ln R}R\bigg|_{R=1}^{R=5}+\int_1^5\frac{\mathrm dR}{R^2}
\displaystyle\int_1^5\frac{\ln R}{R^2}\,\mathrm dR=-\left(\frac{\ln5}5-\frac{\ln1}1)-\frac1R\bigg|_{R=1}^{R=5}
\displaystyle\int_1^5\frac{\ln R}{R^2}\,\mathrm dR=-\frac{\ln5}5-\left(\frac15-1\right)
\displaystyle\int_1^5\frac{\ln R}{R^2}\,\mathrm dR=\frac15(4-\ln5)
5 0
4 years ago
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