Adding an instance field size of type int to track the numbe…

Adding an instance field size of type int to track the number of elements stored in a singly-linked list optimizes the worst-case runtime complexity (from linear time to constant time algorithm) of which of the following operations defined in ListADT? Select all which apply.

Determine if the series converges or diverges. Name the test…

Determine if the series converges or diverges. Name the test you use for the following series. a. ∑n=1∞ (-4)n+132n \sum_{n=1}^{\infty} \frac{(-4)^{n+1}}{ 3^{2n} } b. ∑n=0∞cosnπn+1 \sum_{n=0}^{\infty} \cos \left( \frac{n \pi}{ n+1} \right) c. ∑n=1∞ lnnn \sum_{n=1}^{\infty} \: \frac{\ln n}{n}

Use the graph and answer the following questions. a. (2 po…

Use the graph and answer the following questions. a. (2 points) Find the area of R 1 R_1 b. (4 points) Find the volume of the solid generated by R 1 R_1 over the x-axis c. (4 points) Find the volume of the solid generated by R 2 R_2 over x = – 1 x =-1 Screenshot 2025-07-18 at 12.35.57 PM.png

If the radius of convergence for ∑n=1∞   cn xn \textstyle{\s…

If the radius of convergence for ∑n=1∞   cn xn \textstyle{\sum_{n=1}^{\infty} \: c_n x^n} the series is 5, which of the following statements is TRUE? a.  ∑n=1∞ cn4n \sum_{n=1}^{\infty} \: c_n4^n converges b.   ∑n=1∞ cn7n \sum_{n=1}^{\infty} \: c_n 7 ^n divergesc.  ∑n=1∞ cn5n \sum_{n=1}^{\infty} \: c_n 5 ^n may or may not converge