Please help me with this 2 problems.

Answers & Videos > Section 10.4_ Integral Test and p-Test 0.4_ Integral Test and p-Test ~ 8 of 10 + Automatic Zoom In problems 1 - 15 show that the function determined by the terms of the given series satisfies the hypotheses of the Integral Test, and then use the Integral Test to determine whether the series converges or diverges. 1. 2 . ' 3. M 8 2k + 5 (2k + 5)- k=1 (2k + 5) 3/2 4 . In(k) M 5. iM: 6. . sin k =1 k k - ( In(k) )- M8 7. 8. 1 9. k + 3 k=1 k -1 k - + 100 k IM: IM: 1 10. 12. IM8 11. k k+1 k (k + 5) K 2 - 1 df 1.12.1/le/content/615899/viewContent/22475240/View (b) Represent the total surface area of the cubes as a series. (c) Represent the total volume of the cubes as a series. S (In the next section we will be able to determine if this surface area and volume are finite or infinite.) S 17. The base of a tower is a sphere whose radius is each one foot long. On top of each sphere is another sphere with radius one half the radius of the sphere . . . immediately beneath it (Fig 11). (a) Represent the total height of the r=1/16 tower as a series and find its sum. (b) Represent the total surface area 1=1/8 of the spheres as a series and find its sum. (c) Represent the total 1=1/4 volume of the spheres as a series and find its sum. Fig. 10: Harmonic Tower 1=1/2 18. Represent the repeating decimals 0.6 and 0.63 as geometric series and find the value of each series as a simple fraction. r=1 19. Represent the repeating decimals 0.8 ,0.9 , and 0.285714 as geometric series and find the value of each series as a simple fraction. Fig. 11 load Print Activity Details k: View this topic