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help fast for upvote 7. State whether the following statements are true or false. Give reasons...
1. State whether the following statements are true or false. Give reasons for your answer (a) If limko WR=0 then our converges (b) = 5 means that the partial sums converge to 5 (c) E U is called conditionally convergent if it satisfies the conditions of the alternating series test (d) The limit comparison test applies only to series which are positive from some point on (e) (-2)* = 5 (f) If uk = (2k + 1)! then uk+1 =...
7. Determine whether the statement is true or false. If it is false, give an example that shows it is false. If it is true, prove it or refer to a theorem. (1) If {an} is divergent, then {an} is unbounded. (2) If {an} is bounded, then {an} is convergent. (3) If {an} converges and {bn} converges, then {an + bn} converges. (4) If {an) is convergent and {bn} is divergent, then {an + bn} is convergent. (5) If {an}...
Consider the series 2 Which of the following statements are true? (Select all that apply). Yanitiniz: The series absolutely converges. (-1)" lim 8+ = 0 The series converges conditionally It is an alternating series. The series converges to some finite number The series conditionally and absolutely converges. tale) diverse diverges. It is not an alternating series. The ratio test is inconclusive.
Part A [15 Points]: Choose TRUE or FALSE for each of the following items. 1. If the series anx" converges, then anx" → as n 700. TRUE FALSE 2. The series & {-1}" is absolutely convergent. TRUE FALSE 3. The series 2 is convergent using the Ratio Test. TRUE FALSE 00 4. The series An- n n2+1 is convergent using the Geometric Series Test. TRUE FALSE 5. The series 2n=1 42+2n+3 (-1)" is conditionally convergent. TRUE FALSE
Question 3. (15 points) State whether the following statements are true or false. Give reasons for your answers. a) (8 points) Interaction plot analysis is an important step after each experiment. b) (7 points) An industrial engineer designed an experiment and build ANOVA table only. She concluded that the factors with P-value less than alpha level are significant.
1. Decide if the following statements are true or false. Give an explanation for your answer. (a) If 0 < an < bn and Σ an converges, then Σ bn converges (b) If 0 < an < bn and Σ an diverges, then Σ bn diverges. (c) If bn an 0 andbcoverges, then an converges (d) If Σ an converges, then Σ|an| converges (e) If Σ an converges, then linn lan +1/a (f) Σχ00(-1)"cos(nn) is an alternating series (g) The...
any help would be awesome Explain why or why not Determine whether the following state- ments are true and give an explanation or counterexample. a. The sum Σ is a p-series. b. The sumeve IS a p-series. c. Suppose f is a continuous, positive, decreasing function, for re l'and ak =f(k), for k = 1,2,3, . . . . If Σ@g converges to L, then | f(x) dx converges to L. d. Every partial sums, of the series Σ underestimates...
State whether the following statements true or false, and explain why? The power of a test is the probability of rejecting H0 given that a specific alternative is true.
State whether each of the following statements is true or false. True False The unit of the rate constant for a first order reaction is M-1 * time-1 True False The reaction order that corresponds to the unit year-1 is 2 True False The unit of the rate constant for a second order reaction is M-1 * time-1 True False The reaction order that corresponds to the unit M-5/2 * min-1 is 7/2
Is the following statements true or false? Give the reasons - Replacing IGBTs with GTOs as the inverter switches will improve the power quality (less noise) and improve the efficiency of the drive