0.70.60.5Use the trapezoidal rule with n = 4 to approximateS0.80.10.5 1 1.52 2.5 3 3.5 4 4.5-0.1-0.25 sin(x)1.² SITdx ~xKeep at least 2 decimal places accuracy in your final answer→с%50.40,30.2@2W# 3esin(x)x$46dx.&78

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Answered: Use the trapezoidal rule with n = 4 to…

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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Estimate the error in using the Trapezoidal Rule with n=8 when approximating the inetegral of (6x+3)dx with an upper bound of 6 and lower bound of 4. Which answer is correct? a. 0.0051 b. 0.0000 c. 0.0204 d. 0.0251
df between = df within = F Critical = SS Between = SS within = MS between = MS within = F = R^2= Fail to reject the null or reject the null hypothesis?
In an effort to make the distribution of income more nearly equal, the government of a country passes a tax law that changes the Lorenz curve from y = 0.98x2.1for one year to y = 0.32x2 + 0.68x for the next year. Find the Gini coefficient of income for both years. (Round your answers to three decimal places.) after before
With α = .05 and df = 8, the critical values for a two-tailed t-test are t = ±2.306. Assuming all other factors are held constant if the df value were decreased to df = 5, what would happen to the size of the critical regions?
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Compute the value of the integral ∫1.40.2(sin2x−loge2x+e2x)dx∫0.21.4(sin⁡2x−loge⁡2x+e2x)dx using Trapezoidal rule with h=0.1h=0.1 Simpson's three-eighth rule with h=0.1h=0.1 Select one or more: a. IT=4.05098IT=4.05098 b. IT=8.04095IT=8.04095 c. IT=8.05006IT=8.05006 d. IS38=7.51470IS38=7.51470 e. IS38=7.31750IS38=7.31750 f. IT=8.00866IT=8.00866 g. IS38=7.05317IS38=7.05317 h. IS38=7.98370
As N increases, what happens to the critical value (assume that alpha is .05)? It does not change. It moves closer to 0. It moves further from 0
Calculate the root of the function f (x) = e ^ x cos x between -5 and +3 by the Newton-Raphshon method. In the table you have created, take your first guess (where n = 0) '1 and make the margin of error 10 ^ -6'.x0 = 0.1x1 = 1st guessx2 = 2nd guessx3 = 3rd guessx4 = 4th guessx5 = 5th guessIf you sort your predictions in the iteration, what is the 2nd predictor value to x2?
The brightness of a television picture tube can be evaluated by measuring the amount ofcurrent required to achieve a particular brightness level. A sample of 10 tubes results in x̅=317.2 and σx̅ = 15.7. Suppose that the design engineer claims that this tube will require atleast 300 microamps of current to produce the desired brightness level. Formulate and test anappropriate hypothesis to confirm this claim using α = 0.05.
Bob the Dentist wants to test his hypothesis that the average number of dental cavities of children will be lower for those who grew up drinking fluoride in their water versus those who did not have fluoride in their water. Test to see if Group 1 with fluoride had fewer cavities than Group 2 with no fluoride. Use alpha .05. Write down the data and show work on paper but type in your answers below in the spaces indicated. {Use 3 decimal places for critical value - use a whole number or 1 decimal if it comes out that way - when you need to round use 2 decimal places. Include negative sign when needed - no extra spaces or leading zero pls] Fluoride No Fluoride 1 3 1 2 3 4 2 5 3 5 2 5 What is the critical value of this t-test with alpha = .05? use 3 decimal places for critical value - can include…
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Use the trapezoidal rule with n = 4 to approximate S 0.8 0.7 0.6 0.5 1 1.5 2 2.5 3 35 4 4.5 -0.1 -0.2 -5 sin(x) dx ≈ x Keep at least 2 decimal places accuracy in your final answer 0.4 0.3 0.2 0.1 0.5 sin(x) x -dx.