Answer:
+
*LN(|
|) +C
Step-by-step explanation:
we will have to do a trig sub for this
use x=a*tanθ for sqrt(x^2 +a^2) where a=2
x=2tanθ, dx= 2 sec^2 (θ) dθ
this turns 
into integral(sqrt( [2tanθ]^2 +4) * 2sec^2 (θ) )dθ
the sqrt( [2tanθ]^2 +4) will condense into 2sec^2 (θ) after converting tan^2(θ) into sec^2(θ) -1
then it simplifies into integral(4*sec^3 (θ)) dθ
you will need to do integration by parts to work out the integral of sec^3(θ) but it will turn into (1/2)sec(θ)tan(θ) + (1/2) LN(|sec(θ)+tan(θ)|) +C
then you will need to rework your functions of θ back into functions of x
tanθ will resolve back into 
(see substitutions) while secθ will resolve into 
sec(θ)= is from its ratio identity of hyp/adj where the hyp. is 
and adj is 2 (see tan(θ) ratio)
after resolving back into functions of x, substitute ratios for trig functions:
= + *LN(||) +C
If it is a mark all that apply that it would be it is on the y-axis and i also think it is in the quadrant 1
Answer:
x= -0.5
Step-by-step explanation:
5(2x+4)=15
10x+20=15
10x= -5
x= -0.5
Answer:
yes
Step-by-step explanation:
Answer:
A. Getting tails from a coin toss and drawing a king from a standard
deck of cards.
Step-by-step explanation:
In probability, independent events are two events that do not affect the outcome of the other. In the first option, whether or not tails is flipped in no way changes the likelihood of a king being drawn. So it is independent because each event can be performed independently of the other.
However, all of the other options are "without replacement". This is a common term used to describe dependent events because since the item is not being replaced, the sample size is changed. This changes the probability of the next outcome. They are called dependent events because the second event depends on the first.
