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:

Step-by-step explanation:
The given function is f(x)=x.
If we stretch vertically by a factor of 4 and a translation of 4 units up then the new function becomes

But f(x)=x
We substitute to obtain the equation of g(x) as

Well, if you just divide 4000 by 50, you can see that the answer will come out as:
<em><u>80
</u></em>~TO check: 80 multiplied by 50 would come out to the answer of 4,000.
<em>~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~</em><em><u>
</u>Hope this helped! :D</em>
Answer: <u>Archimedes</u>
Step-by-step explanation:
Answer:
Step-by-step explanation: