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Find the radius of convergence, R, of the series. 0 (-1)"x" Σ Vn n = 1 R = 1 Find the interval, I, of convergence of the series. (Enter your answer using interval nota I = (-1,1) X
> Question 54 2.67 pts Merge sort is aln)_ algorithm. Tim Atter 38 N Ollogn) O(n log(n)) 24/7 O(n) O(n)
(6 pts) Match each of the following with the correct statement. A. The series is absolutely convergent. C. The series converges, but is not absolutely convergent. D. The series diverges Vn (n + 1)(22-1)" 2n 4 7n +4 sin(3n)
(6 pts) Match each of the following with the correct statement. A. The series is absolutely convergent. C. The series converges, but is not absolutely convergent. D. The series diverges Vn (n + 1)(22-1)" 2n 4 7n +4 sin(3n)
Please show how Option A- 39999 is the correct answer.
n+1 Given that the series is convergent, find a value of n for which the nth partial sum is vn n-1 guaranteed to approximate the sum of the series to two decimal places O (5 pts)39,999 X (0pts) 3,999 O (0pts) 399 O (0pts) 39
n+1 Given that the series is convergent, find a value of n for which the nth partial sum is vn n-1 guaranteed to approximate the...
Let X1,.. ,X be a random sample from an N(p,02) distribution, where both and o are unknown. You will use the following facts for this ques- tion: Fact 1: The N(u,) pdf is J(rp. σ)- exp Fact 2 If X,x, is a random sample from a distribution with pdf of the form I-8, f( 0,0) = for specified fo, then we call and 82 > 0 location-scale parameters and (6,-0)/ is a pivotal quantity for 8, where 6, and ô,...
(3) Suppose that E (0,) θ, Ε(92) θ,V(91) of, and V(02) σ . Assume that 0, and θ2 are independent. Consider the following estimator: 6, - a+(1 -@ (a) Show that @g is unbiased for θ (b) Find the value of a that minimizes the variance of 03 (c) Which estimator would you use? θί,02, or th when using the value of a found in part (b)
2) (5 pts) An algorithm answers a query on a database of n elements in O(vn) time. For a database of size n= 10%, it takes 2 seconds to perform 5,000 queries. How many seconds should it take to answer 3,000 queries on a database of size n=108? (Note: all credit is based on the work and not the answer.)
r the recurrence relation o. Consider T(n) = Vn T(Vn) + n a. Why can't you solve this with the master theorem? b. S t involves a constant C, tell me what it is in terms of T(O), T(1), or whatever your inequality by induction. Show the base case. Then show the how that T( n)= 0(n lg ig n). First, clearly indicate the inequality that you wish to hen proceed to prove the inductive hypothesis inductive case, and clearly...
D Question 7 1 pts The graph of a function is shown below Find the 02 03 06 O-2 Questions 1 pts The graph of a function is shown below: Find all the given (a) -6 O24 06 O20 O2 Question 1 pts Atool rental store charges a tot fee of $8.50 to rent a drill press, and 56.50 for each day, including the first Use alaration to find the cost of renting the tool for one week 54550 55400...
5. Σ cosh -1 6. Σ n=2 logn n 7. Σ πιο +1) nlog(n+1) n=1 n=2 8.Σ (n!)?(2η)!(3n51 - 43n10)18" η" (3η)! nel