CONCEPT CHECK Ratio and Root Tests In Exercises 1-6, what can you conclude about the convergence or divergence of Σ a n ? 2. 3. 4. 5. lim 6. 7. k → ∞ 8. 9. | 10. 11. 12. 13. a 14. 15. n + 1 16. 17. 18. 19. 20. a 21. n 22. 23. 24. 25. | = 0 26. 27.
CONCEPT CHECK Ratio and Root Tests In Exercises 1-6, what can you conclude about the convergence or divergence of Σ a n ? 2. 3. 4. 5. lim 6. 7. k → ∞ 8. 9. | 10. 11. 12. 13. a 14. 15. n + 1 16. 17. 18. 19. 20. a 21. n 22. 23. 24. 25. | = 0 26. 27.
Solution Summary: The author explains that the given series is convergent. The ratio test condition for convergence is undersetnto
3. Consider the polynomial equation 6-iz+7z² - iz³ +z = 0 for which the roots are 3i, -2i, -i,
and i.
(a) Verify the relations between this roots and the coefficients of the polynomial.
(b) Find the annulus region in which the roots lie.
Force with 800 N and 400 N are acting on a machine part at 30° and 60°, respectively with the positive x axis
Find the accumulated amount A, if the principal P is invested at an interest rate of r per year for t years. (Round your answer to the nearest cent.)
P = $13,000, r = 6%, t = 10, compounded quarterly
A = $ 31902
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Find the accumulated amount A, if the principal P is invested at an interest rate of r per year for t years. (Round your answer to the nearest cent.)
P = $140,000, r = 8%, t = 8, compounded monthly
A = $259130.20 X
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