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3 years ago

Writing in Slope-Intercept Form, 4 Ways (3, 2) & (-3, -4) help plz:)

Mathematics

1 answer:

AVprozaik [17]3 years ago

8 0

Answer:

$let \: slope \: be \: s \\ s = \frac{( {y}^{1} - {y}^{o} ) }{( {x}^{1} - {x}^{o} ) } \\ s = \frac{( - 4 - 2)}{( - 3 - 3)} \\ s = \frac{ - 6}{ - 6} \\ s = 1$

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How do you integrate arctan(x dx? i think that if you simplify the integral you get:?

Temka [501]

Integration by parts will help here. Letting $u=\arctan x$ and $\mathrm dv=\mathrm dx$ , you end up with $\mathrm du=\dfrac{\mathrm dx}{1+x^2}$ and $v=x$ . Now

$\displaystyle\int\arctan x\,\mathrm dx=uv-\int v\,\mathrm du$
$\displaystyle\int\arctan x\,\mathrm dx=x\arctan x-\int\frac x{1+x^2}\,\mathrm dx$

For the remaining integral, setting $y=1+x^2$ gives $\dfrac{\mathrm dy}2=x\,\mathrm dx$ , so

$\displaystyle\int\frac x{1+x^2}\,\mathrm dx=\frac12\int\frac{\mathrm dy}y=\frac12\ln|y|+C=\frac12\ln(1+x^2)+C$

Putting everything together, you end up with

$\displaystyle\int\arctan x\,\mathrm dx=x\arctan x-\frac12\ln(1+x^2)+C$

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2 years ago

I need the answer and maybe someone can tell me how to do it? Please and Thanks!! :))

UNO [17]

Answer:

Step-by-step explanation:

The 126 angle is an exterior angle of the triangle.

The 43 and x angles are the two remote interior angles of the 126 angle.

<em>Theorem:</em>

<em>The measure of an exterior angle of a triangle equals the sum of the measures of the remote interior angles.</em>

x + 43 = 126

x = 83

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3 years ago

Read 2 more answers

Which is equivalent to 3sqrt8^1/4x

fiasKO [112]

Answer:

12 √8 ×

Step-by-step explanation:

There is two many variables in that I believe you meant. What is equivalent to 3 square root 8^1/4x? =12 √8 × . Hopefully this helped you .

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3 years ago

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Lilit [14]

The answer is C..................

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VashaNatasha [74]

Answer:

The first answer is correct I believe

Step-by-step explanation:

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3 years ago