(Solution Library) Estimate the error using the indicated partial sum S_200, ∑limits_k=1^∞ (tan
Question: Estimate the error using the indicated partial sum
\[{{S}_{200}},\,\,\,\sum\limits_{k=1}^{\infty }{\frac{{{\tan }^{-1}}k}{1+{{k}^{2}}}}\]
Deliverable: Word Document 
![[See Steps] Consider the spherical tank below.](/images/solutions/MC-solution-library-71820.jpg "[See Steps] Consider the spherical tank below. If the tank is full")
[See Steps] Consider the spherical tank below. If the tank is full
![[Solution Library] Solve the same problem as](/images/solutions/MC-solution-library-71821.jpg "[Solution Library] Solve the same problem as above if the tank is two thirds")
[Solution Library] Solve the same problem as above if the tank is two thirds
(Steps Shown) Consider the spherical tank below. If the tank is full
(See Steps) Solve the same problem as above if the tank is two thirds
Solution: You are given that the point 2,1 is on a certain trajectory
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