Answered: 0: PC (q)

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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Ocean currents are important in studies of climate change, as well as ecology studies of dispersal of plankton. Drift bottles are used to study ocean currents in the Pacific near Hawaii, the Solomon Islands, New Guinea, and other islands. Let x represent the number of days to recovery of a drift bottle after release and y represent the distance from point of release to point of recovery in km/100. The following data are representative of one study using drift bottles to study ocean currents. Σx = 476, Σy = 87.1, Σx2 = 62,290, Σy2 = 2046.87, Σxy = 11121.3,and r ≈ 0.94367. x days 72 76 32 91 205y km/100 14.7 19.6 5.3 11.7 35.8 a) Use a 1% level of significance to test the claim ? > 0.(Use 2 decimal places.)t =critical t= b) Find the predicted distance (km/100) when a drift bottle has been floating for 60 days. (Use 2 decimal places.)________ km/100 c) Find a 90% confidence interval for your prediction of part (d). (Use 1 decimal place.)lower limit = _____…
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The horsepower (Y, in bhp) of a motor car engine was measured at a chosen set of values of running speed (X, in rpm). The data are given below (the first row is the running speed in rpm and the second row is the horsepower in bhp): rpm 1100 1400 1700 2300 2700 3200 3500 4000 4600 5200 5600 6100 Horsepower (bhp) 50.2 64.29 67.83 98.56 131.09 163.65 161.55 198.62 226.03 254.71 283.63 299.81 The mean and sum of squares of the rpm are 3450.0000 rpm and 173900000.0000 rpm 22 respectively; the mean of the horsepower values is 166.6642 bhp and the sum of the products of the two variables is 8506152.0000 rpm bhp. Given Values: a) Slope: 0.052 b) Intercept: -11.694 c) 95% Confidence Interval when the standard error of the estimate of the slope coefficient was found to be 0.001160: (0.0494, 0.0546) please answer the following: Part e)Without extending beyond the existing range of speed values or changing the number of observations, we would expect that increasing the variance of the…
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Q9: please answer all the parts to this question with each answer clearly indicating which answer is for which part and please make sure to round to the right decimal places. Prednisone is a corticosteroid used to treat many inflammatory diseases such as asthma, ulcerative colitis, arthritis, or acne. However, prolonged use of the drug can cause patients to develop osteoporosis, low bone density. Recently a new drug, prednisolone has been developed that acts as anti-inflammatory with fewer side effects. To compare the drugs impact on bone density a study was done in which two groups of cats received equivalent doses of prednisone or prednisolone for an equivalent time period. At the end of the treatment period the bone density of both groups was measured. Each measurement represents an individual cat that was given either prednisone or prednisolone. Now the researchers want to use a t-test to see if the data show any differences between the treatments. Ho: There is no difference in…

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