Supposed that the yearly rate of consumption of oil (in millions of barrels) is given by C'(t) = ket, where t is the time (in years), r is a constant and k is the consumption in the year when t = 0 corresponds to year 2020. In 2020, PETRONAS GROUP sold 1.2 million barrels of oil. Assume that r = 0.04.
Supposed that the yearly rate of consumption of oil (in millions of barrels) is given by C'(t) = ket, where t is the time (in years), r is a constant and k is the consumption in the year when t = 0 corresponds to year 2020. In 2020, PETRONAS GROUP sold 1.2 million barrels of oil. Assume that r = 0.04.
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
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Transcribed Image Text:Supposed that the yearly rate of consumption of oil (in millions of barrels) is
given by
C'(t) = ke"t,
where t is the time (in years), r is a constant and k is the consumption in the year
when t = 0 corresponds to year 2020. In 2020, PETRONAS GROUP sold 1.2
million barrels of oil. Assume that r = 0.04.
HINT: let k = 1.2 since PETRONAS GROUP sold 1.2 million
DISCLAIMER:
The equation provided here is just a made-up equation for the purpose of
teaching and learning for integration.
a. Find the total amount of oil that the PETRONAS GROUP will sell in the next
10 and 15 years, respectively.
HINT 1: S C'(t)dt = total amount of oil
HINT 2: your lower limit will bet = 0
b. If PETRONAS GROUP has about 30 million barrels of oil reserve in 2020.
How many years will it took them to empty their 30 million barrels of oil
reserve? Let t = 0 to represent year 2020.
HINT 1: [ C'(t)dt = 30
HINT 2: your lower limit will be t = 0 , and you need to determine your
upper limit
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