Can someone plzz help me this proofing thing on this question.

Mathematics

1 answer:

jok3333 [9.3K]3 years ago

3 0

$\angle BAC \cong \angle DCA \qquad
$ alternate interior angles are congruent in a transverse of parallel lines AB and CD

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If nis the larger of two consecutive numbers, write an expression for the other number.

allochka39001 [22]

Answer:

n-1

Step-by-step explanation:

Consecutive means that they have a difference of one, so the expression will be n-1.

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3 years ago

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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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3 years ago

Graph Y+5=-2x and explain how you did it.

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Y
=
−
2
x
+
5
y
=
-
2
x
+
5
Use the slope-intercept form to find the slope and y-intercept.
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Slope:
−
2
-
2
y-intercept:
(
0
,
5
)
(
0
,
5
)
Any line can be graphed using two points. Select two
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x
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6 0

2 years ago

Pls help as soon as possible

Anvisha [2.4K]

1 -2 pretty sure thats the one

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3 years ago

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Dayand picked apples 42 hours sleep at 28 apples in the first hour and at the end of 2 hours she had 49 how many apples did she

SCORPION-xisa [38]

Subtract 28 from 49 which is 21 picked in the second hour

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3 years ago