I am reallly having a difficult time Find a linear map T that maps [0, 1] x [0, 1] to the parallelogram P in the xy-plane spanned by the vectors (6,5) and(7,4).(Give your answer in the form (*, *). Express numbers in exact form. Use symbolic notation and fractions where needed.)T(u, v) =Calculate the double integral of e²x-yover P via change of variables.(Express numbers in exact form. Use symbolic notation and fractions where needed.)1₂²²2x-y dA =

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Answered: Find a linear map T that maps [0, 1] x…

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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In this question, the real numbers in your answers should be given with three significant digits of accuracy after the decimal point. The public health authorities of a small town have divided the population into three categories: covid- negative, covid-positive, and hospitalised. After performing regular, extensive tests, they have observed that in each successive week: Among those who are negative, 95% remain so, 4% become positive, and 1% need to be hospitalised. • Among those who are positive, 75% recover and become negative, 20% stay positive, and 5% need to be hospitalised. Among those who are hospitalised, 60% recover and become negative, 30% are released from hospital but remain positive, and 10% remain hospitalised. (a) After representing the population in a given week as a column vector v = [n; p; h], where n, P, and h represent the number of people in the population who are negative, positive, and hospitalised respectively, write down a matrix M for which [n', p', h'] = M[n;…
You may need to use the appropriate appendix table or technology to answer this question. In a recent poll six hundred adults were asked a series of questions about the state of the economy and their children's future. One question was, "do you expect your children to have a better life than you have had, a worse life, or a life about the same as yours?" Suppose the responses showed 251 better, 303 worse, and 46 about the same. Use the sign test and a = 0.05 to determine whether there is a difference between the number of adults who feel their children will have a better life compared to a worse life. State the null and alternative hypotheses. (Let p = the proportion of adults who feel their children will have a better life.) OH: P≥ 0.50 H₂: P 0.50 O H₂: P = 0.50 H₂: P = 0.50 O Ho: P < 0.50 H₂: P = 0.50 Find the value of the test statistic. (Round your answer to two decimal places.) z = -2.21 x Find the p-value. (Round your answer to four decimal places.) p-value = 0.0192 X What is…
Suppose you are a basketball coach and you've taken some measures on your starting five players. The two measures that you're most interested in right now are scores on a two-minute jump shot test (x) and time in seconds on a shuttle run (y). You want to determine a couple of things:1) On which variable (jump shots or shuttle run time) are your starters more consistent? 2) For player #1, is she a faster runner or better at jump shots? 3) For player #4, is she a faster runner or better at jump shots? Player # Jump shot score (x) Shuttle run time (y) 1 17 37 2 20 45 3 4 59 4 34 48 5 22 42
I HAVE THE GRAND MEAN ALREADY NEED REST OF THE PROBLEMS SOLVED. ANOVA. Dr. Milgram is conducting a patient satisfaction survey, rating how well her patients like her on a scale of 1-10. Her patients tend to fall into three categories: “Like a lot”, “like somewhat”, and “dislike a lot”. She believes that she might get different satisfaction scores from people in each group, but (because she's not great at numbers) she wants you to do an ANOVA to be sure. She has collected data from 12 patients (three equal groups) with the following results. Group 1) “Like a lot” Mean: 8 SS: 2 N: df: Group 2) “Like somewhat” Mean: 5 SS: 6 N: df: Group 3) “Dislike a lot” Mean: 2 SS: 4 N: df: Grand Mean: 4 df Within-Group:__________ df Between-Groups:___________ Estimated Variance (S21) for Group 1:…
You are a paranoid delusional statistician with far too much time on your hands. One day, you sit down to have a bowl of soup. This bowl of soup happens to be Tic-Tac-Toe themed, meaning that you have some noodles that are shaped like an X, and some that are shaped like an O. As you stir your soup, you notice that this bowl seems to have a particularly high number of X- shaped noodles in it. Being paranoid, you conclude that this has some meaning like someone is trying to give you a message, possibly warning you of the dangers of x-rays. You jump out of your seat and run to get your x-ray-proof cape, and then you pause for a moment and think that you should calculate a chi-square statistic for the frequency of X-shaped noodles before freaking out. First, you carefully separate each of the noodles by shape and count them. Here is what you find: Frequency of Noodles X-shaped 33 O-shaped 21 2. Write out the null and alternative hypotheses using symbols: Но: На:
How would you figure these two problems out?

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