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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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A $25,000 machine depreciates linearly to 0 over a 10 year period. What is the valye of the machine after 5 years? Select one: O 7500 O 17500 12500 10000 15000
In 1992, the moose population in a park was measured to be 4070. By 1998, the population was measured again to be 5570. If the population continues to change linearly: Find a formula for the moose population, P, in terms of t, the years since 1990. P(t) = What does your model predict the moose population to be in 2006?
A new town was incorporated in 1960. The size of the town's population was recorded every 5 years after 1960. Using the variables x, for number of years since 1960, and y, for the size of the population, three models were created to predict the population from the number of years since 1960.
In 1993, the moose population in a park was measured to be 3200. By 1996, the population was measured again to be 2100. If the population continues to change linearly: Find a formula for yhe moose pupulation, P,in terms of t, the years since 1990. P(t)= what does your model predict the moose population to be in 2009?
Flying twice as farA flight from Los Angeles to ABQ is about 2 hours but is 670.2 miles.A flight from San Jose to Chicago is 4 hours but is 1859.0 miles.Can anyone explain why the travel time from San Jose to Chicago is notlonger and closer to 5.75 hours?If the distance increase by 2, shouldnt the time increase by a factorof 2 as well?1. Write a linear model for this question. Takeoff and landing will take a fixed amount of time. Actualtravel in the air will take time proportional to the distance traveled. Think about which of thevariables (time and distance) is the independent variable, and identify the slope and intercept withtheir units.2. Use the data in the quotation to estimate the two constants in your linear model.
in the equation of a linear regression, Y = b,X + bo, if b, = -6.8 which means a. For each unit increase in x, y will decrease by 6.8. b. For each unit increase in x, average of y will increase by 6.8 c. For each unit increase in x, average of y will decrease by 6.8 d. For each unit increase in x, y will increase by 6.8
A study investigating the relationship between a country's annual gross domestic product x (in trillions of dollars) and carbon dioxide emissions y(in millions of metric tons) yielded r = 0.87, se = 141.9 , and the regression equation y-hat = 199.5x + 56.0. For each additional trillion dollars in %3D gross domestic product, carbon dioxide emissions increases by about 0.87 million metric tons, on average increases by about 199.5 million metric tons, on average changes by an amount that cannot be determined from the information given O increases by about 141.9 million metric tons, on average increases by about 56.0 million metric tons, on average

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