Answer:
½ ln 3
Step-by-step explanation:
∫ sec²x / tan x dx
If u = tan x, then du = sec²x dx.
∫ du / u
ln|u| + C
ln|tan x| + C
Evaluate between π/4 and π/3.
ln|tan(π/3)| + C − (ln|tan(π/4)| + C)
ln|√3| + C − ln|1| − C
ln(√3)
½ ln 3
I didn't get all the part with the tiles, but here's the general answer:
given a polynomial

we have that
is a factor of
if and only if k is a root of
, i.e. if

So, given the polynomial

We can check if
is a factor by evaluating
:

So,
is not a factor.
Similarly, we can evaluate
to check if
are factors:

So, only
is a factor of 
Answer:
i cant see the picture
Step-by-step explanation:
it looks pretty blurry
Answer:
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Step-by-step explanation:
Given

Required
The standard deviation
First, calculate the expected value E(x)

So, we have:


Next, calculate E(x^2)

So, we have:


The standard deviation is:




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Answer:$3.50
Step-by-step explanation:
14/4 =3.5. To check answer multiply 3.5 by 4. You get 14