5. Use the second Fundamental Theorenm of Calculus to evaluate the following:-10de5.1.a + 2-2da5.2.+ 6r 2. Evaluate the followingdr(3) 2.4. VAz – 2 dr2.1.dzde2.2.(3) 2.5.VAr - a – 3e +e-dae -e-a +3dzV5- 4x - r2.3.(3) 2.6.3. Use the Riemann sum as n- 0o to evaluate4. Use the first Fundamental Theorem of Calculus to finddydet2 - 1dt12 +1

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Answered: 2. Evaluate the following dr…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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for one week) and S hypertensive controls (received placebo for one week) were involved, chosen from Al-Hussein Teaching Hospital in 2010. The results below were revealed: Statistics Mean SBP 150 S.D Cases Controls |142 12 9 Find out whether the (drug used has a significant effect on the blood pressure level.
An SAT prep course claims to improve the test score of students. The table below shows the scores for seven students the first two times they took the verbal SAT. Before taking the SAT for the second time, each student took a course to try to improve his or her verbal SAT scores. Do these results support the claim that the SAT prep course improves the students' verbal SAT scores? Let d = (verbal SAT scores prior to taking the prep course)-(verbal SAT scores after taking the prep course). Use a significance level of α = 0.05 for the test. Assume that the verbal SAT scores are normally distributed for the population of students both before and after taking the SAT prep course. Student 1 2 3 4 567 Score on first SAT 380 440 470 490 440 Score on second SAT 420 530 530 550 460 420 410 490 430 Step 1 of 5: State the null and alternative hypotheses for the test. Answer 0 Ho: Md 0 Ha IVA A VI Copy Data Tables Keypad Keyboard Shortcuts
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An SAT prep course claims to improve the test score of students. The table below shows the scores for seven students the first two times they took the verbal SAT. Before taking the SAT for the second time, each student took a course to try to improve his or her verbal SAT scores. Do these results support the claim that the SAT prep course improves the students' verbal SAT scores? Let d = (verbal SAT scores prior to taking the prep course)-(verbal SAT scores after taking the prep course). Use a significance level of a = 0.01 for the test. Assume that the verbal SAT scores are normally distributed for the population of students both before and after taking the SAT prep course. 1 234567 520 570 540 380 370 490 450 Student Score on first SAT Score on second SAT 540 600 610 470 410 510 480 Step 1 of 5: State the null and alternative hypotheses for the test. Answer 0 Ho: Md 0 Ha Ma IA IV V A || < = Copy Data Tables Keypad Keyboard Shortcuts
A certain affects virus 0.8% of the population. A test used to detect the virus in a person is positive 88% of the time if the person has the virus (true positive) and 13% of the time if the person does not have the virus (false postive). Fill out the remainder of the following table and use it to answer the two questions below. (enter answer with no commas, i.e. as 1000 not 1,000.) Infected Not Infected Total Positive Test [a] [b] [c] Negative Test [d] [e] [f] Total 800 99,200 100,000 i) Find the probability that a person has the virus given that they have tested positive. (Round your answer to the nearest tenth of a percent and do not include a percent sign.)[g]_______ % ii) Find the probability that a person does not have the virus given that they test negative. (Round your answer to the nearest tenth of a percent and do not include a percent sign.)[h]________ %
Assume that W (t) is a standard Brownian motion and that S(t) is a random variable defined as S(t) = 8 · 2W(t). Determine
Here is part of a calculation in a spreadsheet working with population data of x. Which statement is incorrect? Q4. frequency,f 3 5 4 2 7 Total 10 23 ΣΤ= 10 & Σx = 23 & Σίx 49 E(x) = 4.9 The median of x is (4 + 7)/2. А. В. %3D C. D. H = 4.9 O A. A В. В С. С O D. D
A certain medical school accepts only 8% of applicants. A prep program claims that their students are admitted to this medical school at a higher rate. To test their claim at the 10% significance level, we select at random 144 students from the prep program (who all apply to this medical school), and we compute p, the proportion of the sample who are admitted to the medical school.
with my answer in screenshot 1 will you help me with the ones in screenshot 2 please
The management of the local zoo wants to know if all of their animal exhibits are equally popular, If there is significant evidence that some of the exhibits are not being visited frequently enough, then changes may need to take place within the zoo. A tally of visitors is taken for each of the following animals throughout the course of a week, and the results are contained in the following table. At a = 0.10, determine whether there is sufficient evidence to conclude that some exhibits are less popular than others. Animal Exhibits at the Zoo Elephants Lions/Tigers Giraffes Zebras Monkeys Birds Reptiles Number of 128 161 162 128 165 163 132 visitors Copy Data Step 1 of 4: State the null and alternative hypotheses in terms of the expected proportion for each animal exhibit. Enter your answer as a fraction or a decimal rounded to six decimal places, if necessary. Ho P = H Some exhibits are less popular than others. The management of the local z00 wants to know if all of their animal…
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Choose the best answer. Please show the computation and explain the answer. Which of the following statements is true? I) A and B are independent variables with means of 6 and 8, respectively. Therefore, E(3A - B + 3) = 13. II) A and B are independent variables with variances of 6 and 8, respectively. Therefore, Var(3A - B + 3) = 13. a. I only b. II only c. Both are correct d. Both are false

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2. Evaluate the following dr 2.1.V1-(In)* dr 2.2. VE(1+ z) dr e-e- 2.3.