4. (15 pts) Indicate if the following series converge or diverge. You must identify all the tests you use and show all w

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4 15 Pts Indicate If The Following Series Converge Or Diverge You Must Identify All The Tests You Use And Show All W 1 (34.85 KiB) Viewed 24 times

4. (15 pts) Indicate if the following series converge or diverge. You must identify all the tests you use and show all work needed to apply them. n° + 100 (a) navn + n13/3 M (0) Σ () 4n-n 3n2 + 10n + N=1 1 n! 7" (2n)! 5. (5 pts) Find the Maclaurin series for f(x) = x* cos(2x²). 6. (5 pts) Find the exact length of the parametric curve x = 22 +e-2, y(t) = 1+4, Ostsi. 1 7. (5 pts) Find an equation of the tangent line to the parametric curve r = t- 12+t+1 y = ft+at t = 0. 8. (10 pts) Find the points on the curve r = eV30, ose<, where the tangent line is horizontal or vertical. 9. (5 pts) Find the area of region bounded by the polar curve r = 1+0,0 , and the -axis. T=l+