1956, M. King Hubbert proposed a model to analyze crude oil production. His model, with updated data, gives world crude oil pro254.43e-0.0421(1 + 2.12e-0.0422lere P is measured in billions of barrels per year, and t is time, in years, since 2000.(a) Make a graph of world crude oil production for 2000 through 2040.PPP=3530252015105P353025201510510102020303040t40353025201510O5to353025201510202P51010202030304040tt(b) In what year does this model predict a peak in world crude oil production? (Round your answer to the nearest whole number.)2000X(c) What is the maximum crude oil production predicted by this model? (Round your answer to the nearest whole number.)billion barrels per year

1956, M. King Hubbert proposed a model to analyze crude oil production. His model, with Updated data, P= ere P is measured in billions of barrels per year, and t is time, in years, since 2000. a) Make a graph of world crude oil production for 2000 through 2040. P P 35 30 25 20 15 10 51 P 35 30 25 20 254.43e-0.0421 (1 +2.12e-0.0422 15 10 5 10 10 20 20 30 30 40 40 35 30 25 20 15 10 5 to P 35 30 25 20 15 10 5 10 10 20 20 30 30 40 40 t t (b) In what year does this model predict a peak in world crude oil production? (Round your answer to the nearest whole number.) 2000 X (c) What is the maximum crude oil production predicted by this model? (Round your answer to the nearest whole number.) billion barrels per year

1956, M. King Hubbert proposed a model to analyze crude oil production. His model, with Updated data, P= ere P is measured in billions of barrels per year, and t is time, in years, since 2000. a) Make a graph of world crude oil production for 2000 through 2040. P P 35 30 25 20 15 10 51 P 35 30 25 20 254.43e-0.0421 (1 +2.12e-0.0422 15 10 5 10 10 20 20 30 30 40 40 35 30 25 20 15 10 5 to P 35 30 25 20 15 10 5 10 10 20 20 30 30 40 40 t t (b) In what year does this model predict a peak in world crude oil production? (Round your answer to the nearest whole number.) 2000 X (c) What is the maximum crude oil production predicted by this model? (Round your answer to the nearest whole number.) billion barrels per year

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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4.) (For Marketing & Sales Analysts-Consultants). Four months after the deliveries of goods were affected by the granular lockdown due to the Covid-19 pandemic, a manufacturer noticed that sales had dropped from 100,000 units per month to 80,000 units. If the sales follow an exponential pattern decline, what will they be after another 4 months? Note: Use the exponential model, y= Cekt, where t is measured in months.
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Nitrogen dioxide, NO₂, is an air pollutant resulting from burning fossil fuels in cars and power plants. The following table shows the decrease in the national average of the concentration in parts per billion (ppb) of NO₂ for selected years. Year 2014 40.8107 2015 2016 2017 2018 39.7886 38.7972 37.8209 36.8752 NO₂ (ppb) Use exponential regression to find an exponential decay function for the concentration, C, of NO₂ t years after 2014. Round constants to the nearest ten-thousandth. c-40.8114 (0.9750) Use the model to predict the concentration of NO₂ (in ppb) in 2045. Round to the nearest whole number. 21 x ppb