Mathematics, 29.10.2021 08:40 iiisavageoreo
In this problem you will calculate ∫30x2+4x by using the formal definition of the definite integral: ∫(x)x=lim→[infinity][∑=1(x∗)Δx].
(a) The interval [0,3] is divided into equal subintervals of length Δx. What is Δx (in terms of )? Δx =
(b) The right-hand endpoint of the th subinterval is denoted x∗. What is x∗ (in terms of and )? x∗ =
(c) Using these choices for x∗ and Δx, the definition tells us that ∫30x2+4x=lim→[infinity][∑=1(x∗)Δx]. What is (x∗)Δx (in terms of and )? (x∗)Δx =
(d) Express ∑=1(x∗)Δx in closed form. (Your answer will be in terms of .) ∑=1(x∗)Δx =
(e) Finally, complete the problem by taking the limit as →[infinity] of the expression that you found in the previous part. ∫30x2+4x=lim→[infinity][∑=1(x∗)Δx] =
Answers: 1
Mathematics, 22.06.2019 01:40
(co 3) the soup produced by a company has a salt level that is normally distributed with a mean of 5.4 grams and a standard deviation of 0.3 grams. the company takes readings of every 10th bar off the production line. the reading points are 5.8, 5.9, 4.9, 6.5, 5.0, 4.9, 6.2, 5.1, 5.7, 6.1. is the process in control or out of control and why? it is out of control as two of these data points are more than 2 standard deviations from the mean it is in control as the data points more than 2 standard deviations from the mean are far apart it is out of control as one of these data points is more than 3 standard deviations from the mean it is in control as the values jump above and below the mean
Answers: 2
In this problem you will calculate ∫30x2+4x by using the formal definition of the definite integral:...
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