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3 years ago

Hurrrrryyyyyyyyy A triangle is reduced.

Mathematics

2 answers:

slamgirl [31]3 years ago

8 0

Answer:

Step-by-step explanation:

Andrej [43]3 years ago

6 0

The answer is 36 inches.

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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

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

6 0

2 years ago

Theresa’s parents, Cal and Julia, are getting phones that each have 64 gigabytes of storage. How many bits of storage come with

r-ruslan [8.4K]

32
32 x 10
hope it helps

8 0

3 years ago

Read 2 more answers

The measure of an angle in standard position is given. Find two positive angles and two negative angles that are coterminal with

Pani-rosa [81]

Notice the picture below

negative angles, are just angles that go "clockwise", namely, the same direction a clock hands move hmmm so.... and one revolution is just 2π

now, you can have angles bigger than 2π of course, by simply keep going around, so, if you go around 3 times on the circle, say "counter-clockwise", or from right-to-left, counter as a clock goes, 3 times or 3 revolutions will give you an angle of 6π, because 2π+2π+2π is 6π

now... say... you have this angle here... let us find another that lands on that same spot

by simply just add 2π to it :)

$\bf \cfrac{7}{6}+2=\cfrac{19}{6}\qquad thus\qquad \cfrac{7\pi} {6}+2\pi =\cfrac{19\pi }{6}
\\\\\\
\cfrac{19\pi }{6}\impliedby co-terminal\ angle$

now, that's a positive one
and $\bf \cfrac{7}{6}-2=-\cfrac{5}{6}\qquad thus\qquad \cfrac{7\pi} {6}-2\pi =-\cfrac{5\pi }{6}
\\\\\\
-\cfrac{5\pi }{6}\impliedby \textit{is also a co-terminal angle}$

to get more, just keep on subtracting or adding 2π

8 0

3 years ago

Find the slope of the curve r=cos(2theta) at theta=pi/6.. . Must this be solved parametrically? If so, why?

lara31 [8.8K]

By converting into parametric equations,

x(θ)=r(θ)cosθ=cos2θcosθ
y(θ)=r(θ)sinθ=cos2θsinθ

By Product Rule,

x'(θ)=−sin2θcosθ−cos2θsinθ

x'(π/2)=−sin(π)cos(π/2)−cos(π)sin(π/2)=1

y'(θ)=−sin2θsinθ+cos2θcosθ

y'(π/2)=−sin(π)sin(π/2)+cos(π)cos(π/2)=0

So, the slope m of the curve can be found by

m=dy/dx∣θ=π2
= y'(π/2)/x'(π/2)
=0/1

I hope my answer has come to your help. Thank you for posting your question here in Brainly.

6 0

3 years ago

Rodney sold 45,612 copies of his book and Beth sold 45,612 x one half copies of her book. Which statement compares the numbers o

hoa [83]

Answer:

Rodney sold 45,612 copies of his book and Beth sold 45,612 x one half copies of her book. Which statement compares the numbers of book copies sold? Beth sold half the number of book copies that Rodney sold.

Rodney sold half the number of book copies that Beth sold.

Beth sold twice the number of book copies that Rodney sold.

Rodney sold the same number of book copies that Beth sold.

Step-by-step explanation:

5 0

3 years ago