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Homework 5: Problem 7 Previous Problem Problem List Next Problem (1 point) Find the values of...
Homework 7: Problem 6 Previous Problem Problem List Next Problem (1 point) . 9n3 – n-8 Use the root test to determine whether the series) (5n2 +n + 4) the series ***+9) "converses or diverse converges or diverges. Since lim , which is the series n>00 choose by the root test. choose choose less than 1 equal to 1 greater than 1 Note: You can earn partial credit on this problem. Homework 7: Problem 6 Previous Problem Problem List Next...
Homework 7: Problem 5 Previous Problem Problem List Next Problem (1 point) Applying the ratio test to the series = (x + 1)2.44 you would compute ak+1 lim "4+1 = lim 5/(k^2(1+(2/k)^2(16)) = 5/16 k->00 akk >00 Hence the series converges . Note that you will have to simplify your answer for the limit or you will get an error message.
please provide a thorough explanation as to why this diverges or converges Homework 8: Problem 3 Previous ProblemProblem List Next Problenm (1 point) Determine whether the following series converges or diverges Input C for convergence and D for divergence: Note: You have only one chance to enter your answer Preview My Answers Submit Answers You have attempted this problem 0 times You have 1 attempt remaining Homework 8: Problem 3 Previous ProblemProblem List Next Problenm (1 point) Determine whether the...
Homework 10: Problem 8 Previous Problem Problem List Next Problem (1 point) For each of the following series, tell whether or not you can apply the the alternating series test. Enter D if the series diverges by this test, C if the series converges by this test, and N if you cannot apply this test (even if you know how the series behaves by some other test). । (-1)"(n• +1) "43 +7 (-1)"(n୫ + 2n) n3 -1 (-1)(in +1) L...
Homework 9: Problem 5 Previous Problem Problem List Next Problem Results for this submission Entered Answer Preview Result 0.5 0.5 correct 0.25 0.25 correct 10.25, 0.75] [0.25, 0.75] incorrect At least one of the answers above is NOT correct. (1 point) Consider the power series F (-1)"(4x – 2) +3 Find the center and radius of convergence R. If it is infinite, type "infinity or "inf'. Center a = 0.5 Radius R = 0.25 What is the interval of convergence?...
Homework 5: Problem 4 Previous Problem Problem List Next Problem (1 point) Use the Integral Test to determine whether the infinite series is convergent. 16ne-n2 n=6 Fill in the corresponding integrand and the value of the improper integral. Enter inf for o, -inf for -00, and DNE if the limit does not exist. Compare with some dx = By the Integral Test, the infinite series 16ne-n? n=6 A. converges B. diverges
Homework 5: Problem 9 Next Problem Problem List Previous Problem (1 point) Find the temperature function u(r, t) (where is the position along the rod in cm and t is the time) of a 12 cm rod with conducting constant 0,1 whose endpoint are insulated such that no heat is lost, and whose initial temperature distribution is given by: if 6< <8 4 u (,0) 10 otherwise 0.1 To start, we have L 12 Because the rods are insulated, we...
Homework 3: Problem 9 Previous Problem Problem List Next Problem (1 point) Use the ratio test to determine whether m2 +2 2" converges or diverges 30 (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n 30, lim =lim 100 а. (b) Evaluate the limit in the previous part. Enter co as infinity and -oo as-infinity. If the limit does not exist, enter DNE an lim (c) By the ratio test, does the...
Assignment 7: Problem 7 Previous Problem List Next (1 point) Find a particular solution to y" +9y = –30 sin(3t). Assignment 7: Problem 8 Previous Problem List Next (1 point) Find the solution of y" – 6y' + 9y = 324 et with y(0) = 4 and y'(0) = 5. y= Assignment 7: Problem 9 Previous Problem List Next (1 point) Let y be the solution of the initial value problem y" + y = – sin(2x), y(0) = 0,...
Hw11: Problem 10 Previous Problem List Next (1 point) Find all the values of x such that the given series would converge. (100 7n The series is convergent from x- tox= , left end included (YN): right end included(Y,N): Hw11: Problem 10 Previous Problem List Next (1 point) Find all the values of x such that the given series would converge. (100 7n The series is convergent from x- tox= , left end included (YN): right end included(Y,N):