Answer:
Step-by-step explanation:
a) 
Substitute limits to get
= 
Thus converges.
b) 10th partial sum =

=
c) Z [infinity] n+1 1 /x ^4 dx ≤ s − sn ≤ Z [infinity] n 1 /x^ 4 dx, (1)
where s is the sum of P[infinity] n=1 1/n4 and sn is the nth partial sum of P[infinity] n=1 1/n4 .
(question is not clear)
Answer:
Answer ≈ 0.022
Step-by-step explanation:
For these types of questions with sin cos or tan, you will need to use a calculator. There is no other way as far as I have seen on the internet to solve this type of problem. Anyways, what you have to do is take your calculator and put in:
sin
sin(2/3+3/5) exactly like that
and the calculator will give this to you:
0.022105703 which you can then round up.
I hope this answer helped you out. If it did I would greatly appreciate it if you could check out my channel The Game Rater(or Nitro Studios the name might change). I would really appreciate that. Thanks.
<h2><em>
-Nitroid444</em></h2>
Answer:
Step-by-step explanation:
∠BCA = ∠DCE vertical angles
∠BAC = ∠DEC alternate interior angles
BC = CD definition of bisect
ΔABC = ΔEDC AAS
For a, we have 42in/9ft. Since 12 inches are in 1 foot, we can multiply it by that to get (42in/9ft)*(1ft/12inches) = 42/108. We put the foot on the top of 1ft/12in to cancel them out. Since 2 goes into both 42 and 108, we divide it by 2/2 to get 26/54. Repeating the process again, we get 13/27
If we were to say that there are 12 inches in a foot and therefore divide 42 by 12 (to get 42 inches in feet), we'd get the same answer due to that 1 foot is equal to 12 inches and if you were to divide it by 1 foot/12 inches, since they are the same thing, you get the same answer
For c, since it may be hard to get (42/12)/9, it could just be easier to have 42/(9*12)=42/108
4x^2=100
Square root 4x^2=square root 100
4x=plus or minus 10
4x/4=plus or minus 10/4
X= -2.5, x= 2.5