Which is the solution to the system of equations? y=−3/2x−11/2; 6x+y=−4

Mathematics

1 answer:

cupoosta [38]3 years ago

4 0

Answer:

x= 1/3 and y=−6

Step-by-step explanation:

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<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

Convert 0.0078 from standard form to scientific notation.

meriva

Hello!

<span>To transform the normal, standard numbering to centric notation, simply remove the zeros prior to the point, and raise the remainder to the number of zeros in their negative form. 0.0078 = 7.8 * 10 -3.

Hugs!</span>

4 0

3 years ago

Read 2 more answers

I need helpp <br> please help me

Troyanec [42]

Answer:

one solution

Step-by-step explanation:

that was easy

7 0

3 years ago

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