Mathematics, 24.04.2020 16:55 briiiii7410
Determine whether the series [infinity] cos(n) n2 n = 1 = cos(1) 12 + cos(2) 22 + cos(3) 32 + ⋯ is convergent or divergent. SOLUTION The series has both positive and negative terms, but it is not alternating. (The first term is positive, the next three are negative, and the following three are positive: The signs change irregularly.) We can apply the Comparison Test to the series of absolute values [infinity] cos(n) n2 n = 1 = [infinity] |cos(n)| n2 n = 1 . Since |cos(n)| ≤ 1 Correct: Your answer is correct. for all n, we have |cos(n)| n2 ≤ 1 n2 . We know that Σ 1/n2 is convergent p−series with p = and therefore Σ |cos(n)|/n2 is convergent by the Comparison Test. Thus the given series Σ (cos(n))/n2 is absolutely convergent and therefore convergent by this theorem.
Answers: 2
Mathematics, 21.06.2019 18:40, miguel3maroghi
Some boys and girls were asked if they had a pet. one third of the group were boys. there were 20 boys. 20% of the girls had a pet. boys with a pet : girls with a pet = 1 : 5 i need to know how many girls there are.
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Mathematics, 21.06.2019 19:30, cykopath
Me max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.
Answers: 2
Mathematics, 22.06.2019 01:40, cfigueroablan
Which statement is true about the extreme value of the given quadratic equation? a. the equation has a maximum value with a y-coordinate of -21. b. the equation has a maximum value with a y-coordinate of -27. c. the equation has a minimum value with a y-coordinate of -21. d. the equation has a minimum value with a y-coordinate of -27.
Answers: 1
Determine whether the series [infinity] cos(n) n2 n = 1 = cos(1) 12 + cos(2) 22 + cos(3) 32 + ⋯ is c...
Mathematics, 06.11.2020 16:20
Mathematics, 06.11.2020 16:20