Answer Happy

5. Use the ratio test to determine whether n (-7)" n! 7127 Σ converges or diverges.

Cheat Sheet Center of Muss: Sx8dA Lda SoysaA y = 8A Centroid: R%3D2 12. 2. *** n+ 13. 14. 15. 5. In a 16. Sexda Soyda y = SA VODA TABLE 8.1 Basic integration formulas 1. / xde kat kx + c (any numberk) tan x dx = In secx + fr de (n-1) • 1 cotx den sin x + c 3. / 4 – In [v] + c see x die = tn (s0x + tan x + c 4. Jedeme + c csc x dx = -- In lesex + cotx] + c + c (a > 0, a 1) | sinh: sinh xde cosh x + c 6. / sinxdx = -- coshxdı - sinhx + c ſcos x ds = sins + c I vartegn sin" () + c sec* x di • tunx + c tan" () + c Sesoºx dx = -cotx + c si secx tan x dx = secx + c * () + (a > 0) y eso x cotx dx = -cso x + c 2 l v + c (x > a > 0) sin(a + b) = sin a cosb + cosa sin b cos(a + b) = cos a cos b -- sin a sin b X + C 17. 7. 18. do C 8. 19. dx x² 9. dy 20. sec + c 10. 21. de - S Voltar sinh +C 11. de 22. cosh sinca -b) = sin a cosb-cosa sin b cos(a - b) = cos a cos b + sin a sin b