Write down the possible values of n.n is an integer -3
1 answer:
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Answer:
Angle E has
Step-by-step explanation:
we know that
Observing the figure, according to the protractor
Angle B has
Angle C has
Angle D has
Angle E has
Angle F has
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
Answer:
12 hours
Step-by-step explanation:
Let the number of hours Lily works each week be x.
This implies that of Olivia's is
x+4.
We were also told that for every two weeks, Olivia works a total of 32 hours.
This implies that
2(x+4)=32
We divide through by 2
We subtract 4 from both sides
Hence Lily works 12 hours each week.