Global temperature increases are benchmarked to the average temperature between 1951 and 1980. In 2010, the global averagetemperature was 0.72°C above the benchmark. In 2020, it was 1.02°C above.11climate.nasa.gov, accessed March 23, 2021.(a) Assuming the difference between the global average temperature and the benchmark is a linear function of time, find aformula for this function.The increase in average global temperature, G, above the benchmark average in the year t is given byG =ii)teTextbook and Media(b) Use this formula to predict the difference in 2027.°CThe formula predicts that in the year 2027, the average global temperature will have increased byover the benchmark.

This is the problem of application of derivatives. Linear prediction.

Answered: (a) Assuming the difference between 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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Please answer all parts.
The number of air safety inspectors for selected years is shown in the table. Year 1996 1997 1998 Inspectors 3349 3155 3069 (a) Find a linear function f that models these data. Is fexact or approximate? (b) Usef to estimate the number of inspectors in 2003, Compare your answer to the actual value of 3451. Did your estimate involve interpolation or extrapolation? (a) A linear function ( that models these data is f(x) (Round to the nearest integer as needed.) COTS
A city's population was 28,500 people in the year 2015 and is growing by 950 people a year.(a) Give a formula for the city’s population, P, as a function of the number of years, t, since 2015. Do not use commas in your submitted answer. P= people. (b) What is the population predicted to be in 2020? P= people. (c) When is the population expected to reach 35,000? Round your answer to the nearest integer. The population will reach 35,000 in the year.
A bucket is filled from a hose that has a constant flow rate. Is the amount of water in the bucket best described by a linear or exponential function of time during the filling process? Explain.
Please solve quckily
X-2y=15 2x+3y=2
Throughout much of the 20th century, the yearly consumption of electricity in the US increased exponentially at a continuous rate of 7% per year. Assume this trend continues and that the electrical energy consumed in 1900 was 1.5 million megawatt-hours. (a) Write an expression for yearly electricity consumption, E, as a function of time, t, in years since 1900. million megawatt-hours (b) Find the average yearly electrical consumption throughout the 20th century. NOTE: Round your answer to the nearest integer. E(t) = million megawatt-hours (c) During what year was electrical consumption closest to the average for the century? NOTE: Round your answer to the nearest integer. During Average Yearly Consumption =
A certain city's population has been in decline since 2010, at which time its population was 100,000. If the population has been decreasing by 4200 people every year, write a function to model the situation with t being the number of years since 2010.
Propose a formula for the function.
MAT150 Unit 3 Review **no need to show f(g(x)) = g(f(x)) = x Find f(x) for the following functions: 52) f(x) = (2x +1)5 53) Compound interest is cal culated using the formula below: A = P (1+12 Where A is the future value, P is present value, and t is the number of years for the loan/investment. a) If you invest $1,000 at 9% interest for 8 years, what is the future value of the investment? b) If you want to have $2,500 for a vacation in 3 years, how much should you invest today if you can get 10% on the investment? c) If you borrow $500 at 12% interest, how long will it take for the amount you owe to double?
Level curves (isothermals) are shown for the water temperature (in °C) in Long Lake (Minnesota) in 1998 as a function of depth and time of year. Estimate the temperature in the lake on October 7 (day 280) at a depth of 5 m and on June 9 (day 160) at a depth of 10 m. X°C (day 280 and depth 5 m) X°C (day 160 and depth 10 m) Enter a number. Depth (m) 0 sti 10- 15+ 12 16 + 120 20 160 20 Day of 1998 16 200 240 280
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