The following questions consider the wind speeds of Hurricane Katrina, whichaffected New Orleans, Louisiana, in August 2005. The data are displayed in a table.3.Hours after Midnight, August 26Wind Speed (mph)14575111002911549145581757315581125859510735a. Using the table, estimate the derivative of the wind speed at hour 39. What isthe physical meaning?b. Estimate the derivative of the wind speed at hour 83. What is the physicalmeaning?

We will use the given table and formula for differentiation to calculate what is required.

Answered: The following questions consider the…

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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We want to predict the selling price of a house in Newburg Park, Florida, based on the distance the house lies from the beach. Suppose that we're given the data in the table below. These data detail the distance from the beach (x, in miles) and the selling price (y, in thousands of dollars) for each of a sample of fifteen homes sold in Newburg Park in the past year. The data are plotted in the scatter plot in Figure 1. Also given is the product of the distance from the beach and the house price for each of the fifteen houses. (These products, written in the column labelled "xy", may aid in calculations.) Distance from the beach, x (in miles) Selling price, y (in thousands of dollars) xy 5.0 270.1 1350.5 11.5 205.9 2367.85 5.9 309.4 1825.46 12.2 200.6 2447.32 2.6 307.1 798.46 5.9 266.0 1569.4 8.3 297.3 2467.59 18.3 224.2 4102.86 6.5 242.4 1575.6 12.1 192.6 2330.46 11.6 229.4 2661.04 9.5 230.9 2193.55 10.1 277.0 2797.7 13.5 270.8 3655.8 6.2…
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Is this considered a weak, negative relationship between Carbon Monoxide and Temperature?
A group of researchers studied the effect of acid rain on wildlife and collected n = 12 samples from streams in different States. They recorded the pH (X) of the water (i.e. units above pH 7), and the BCI, a measure of biological diversity (Y). The data obtained is summarized below. DATA: Observation 1 2 3 4 5 6 7 8 9 10 11 12 pH above 7 (X) 0.65 0.50 0.93 0.86 1.02 0.94 1.16 1.24 1.30 1.45 1.85 1.89 Units of BCI (Y) 14.5 22.9 15.8 38.3 18.9 20.0 21.4 23.8 23.6 25.2 27.3 29.4 Find the correlation coefficient between pH and BCI (round to the nearest hundredth; place your answer in the box below)
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The numbers of polio cases in the world are shown in the table for various years. Year Number of Polio Cases (thousands) 1988 1992 1996 2000 2005 2007 350 138 33 3 3.2 1.3 Let f(t) be the number of polio cases (in thousands) t years after 1980. Copy the data to Desmos to draw a scatterplot of the data. Make sure to adjust the years so they represent years after 1980. a) Is it better to model the data with a linear or with an exponential model? [Select an answer b) Use regression in Desmos to find an appropriate model for f. Make sure to check Log mode in the parameter window in Desmos if you are fitting an exponential model. f(t) Round the coefficients to 4 decimal places. Hint: Use the variablet from the drop down menu when entering the equation. Do not just type in t. c) Predict the number of polio cases in 2013. d) Find the approximate half-life of the number of polio cases. Round the answer to one decimal place. years
Assume that an r of .80 describes the relationship between daily food intake, mea-sured in ounces, and body weight, measured in pounds, for a group of adults. Would a shift in the units of measurement from ounces to grams and from pounds to kilograms change the value of r ? Justify your answer
The table below shows the relationship between the altitude of the atmosphere and corresponding temperature. Altitude (in feet) 25,000 20,000 15,580 12,902 Temperature (in degree Celsius) 10 16 25 30 What inference can be made from the above data? A.The temperature of the atmosphere decreases with the increase in the altitude. B.The temperature of the atmosphere decreases with the decrease in the altitude. C.The temperature of the atmosphere increases with the increase in the altitude. D.ANo inference can be made from the given data.
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The following data refers to the amount of caffeine (in mg) consumed by ten university students and their time to complete a practice quiz (in minutes) for a Econominc Exam. Time Caffeine 75 180 83 150 65 195 60 240 82 120 58 280 52 270 66 190 55 300 60 250 Calculate the slope and y-intercept for the data above, provide the equation for the line of best fit and interprt the slope and y intercept for the data Let y = time and x = caffeine amount.

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