applied mathematics
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Zban1410
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i want to help to solve Questions , and i need to show me all your work in steps because i want to understand them
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Consider @ X + 2€ * 1x = 0, 0xcel. Set vtt) = exc+).
Construct a differential equation satisfied by Vand Find it's general solution.
Then write the general solution of .
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Consider & ult; e) = 1 + 425 (5-1) uls; elds, occael.
First Show alt; &l= coset is an
= COS Et is an exact solution of .
Second,
write ( as ult;&l=1 te
ult; e) = 1+2°/5°C5-1)(1+°[$?.6-5)(1***[8:19-0) wc, ve]).] ds
It alt; el = Uolt) + a, (4) E + U,(t) €²+Uz(t)e² + ultle" - Oles),
Find 40, 41, 42, 43, U, and compare to the exact solution.
10. x
M. is Find the general solution of X + 47 En + 3% =0, t=0,1,2,...
ii) kewooke the scalar equation as a ryskmet 2 first under egetoons FEAT
iii) Find eigenvalues
, with corresponding eigenveeters, of A.
ivs Weste the general solution of der Aue in the forer i dritare.
Compare your general solutions foom is and iv.
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List of StatCrunch DirectionsAs you work through numbers 1) and 2) below, refer back to these StatCrunch directions when you need a quick reminder.Purchase StatCrunch (You only need to do this once.)Open StatCrunchDownload Excel Data FileUpload Excel Data File to StatCrunchDownload StatCrunch Output Window (do not take screenshots; please use these directions)Upload Files to Your Stat-Class Folder in CanvasEmbed Pictures in a Discussion Post (do not post attachments; please use these directions)Copy and Paste StatCrunch Text OutputProduce Scatterplot, LSR Line, Regression Equation, & R (All at the same time!)UnansweredQuestion 1Not yet graded / 3 ptsThese directions assume that you have uploaded the olympics datafile in StatCrunch, and the StatCrunch worksheet with the data is open. 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Attempt HistoryAttemptTimeScoreLATESTAttempt 125 minutes4 out of 10 ** Some questions not yet graded Correct answers are hidden.Score for this attempt: 4 out of 10 *Submitted May 2 at 10:36amThis attempt took 25 minutes.Learn by DoingSome features of this activity may not work well on a cell phone or tablet. We highly recommend that you complete this activity on a computer.A list of StatCrunch directions is provided at the bottom of this text-box.ContextThe modern Olympic Games have changed dramatically since their inception in 1896. Are athletes getting better? 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List of StatCrunch DirectionsAs you work through numbers 1) and 2) below, refer back to these StatCrunch directions when you need a quick reminder.Purchase StatCrunch (You only need to do this once.)Open StatCrunchDownload Excel Data FileUpload Excel Data File to StatCrunchDownload StatCrunch Output Window (do not take screenshots; please use these directions)Upload Files to Your Stat-Class Folder in CanvasEmbed Pictures in a Discussion Post (do not post attachments; please use these directions)Copy and Paste StatCrunch Text OutputProduce Scatterplot, LSR Line, Regression Equation, & R (All at the same time!)UnansweredQuestion 1Not yet graded / 3 ptsThese directions assume that you have uploaded the olympics datafile in StatCrunch, and the StatCrunch worksheet with the data is open. If not, please see the Data section above.Using the year since 1896 as the explanatory variable and the winning time as the response variable: graph the scatterplot with the regression line and produce the regression equation with the correlation coefficient - all at the same time (directions)Toggle to the output page with the scatterplot and regression line. Notice that the data has a strong linear association, so it makes sense to use linear regression. (Always check the form of the scatterplot before using linear regression.)Download the StatCrunch output page with your scatterplot and regression line graphed together. (directions)Save the .png file (the graph of your scatterplot and regression line) to your Stats-Class folder. (directions)Embed the .png file for your scatterplot and regression line in the text-box below. (directions)UnansweredQuestion 2Not yet graded / 3 ptsThese directions assume you have produced the Simple linear regression results in a multipage StatCrunch output window. If not please see the previous question.Toggle to the StatCrunch output page with the regression equation, correlation coefficient, and other statistics.Under the heading Simple linear regression results, copy and paste the first five lines (dependent variable, independent variable, linear equation, sample size, and R) into the text-box below. (directions)Simple linear regression results:Dependent Variable: TimeIndependent Variable: Year Time = 994.19341 - 0.39304496 YearSample size: 24R (correlation coefficient) = -0.89075356Question 32 / 2 ptsFor which of the years 1900, 1940, or 2000 is the absolute prediction error the largest? 1900 1940undefinedundefined2000undefinedCorrect. Vertical distance from the regression line is the prediction error. The data point for 2000 is father from the regression line than the other options, so the prediction error is largest.Question 42 / 2 ptsFor the year 1896, the winning time for the men's 1500-meter race is an outlier. In what ways is this data point an outlier? Check all that applyundefinedan outlier with respect to Y=Time Correct. The winning time in 1896 is much larger than the other winning times.undefinedan outlier with respect to X=Yearundefinedundefinedan outlier with respect to the form of the relationship between X and YCorrect. The data point (1896, 273) deviates from the pattern in the rest of the data. It does not follow the strong, negative association or the linear pattern. Score: 4 out of 10
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