Supposed that the yearly rate of consumption of oil (in millions of barrels) isgiven byC'(t) = ke"t,where t is the time (in years), r is a constant and k is the consumption in the yearwhen t = 0 corresponds to year 2020. In 2020, PETRONAS GROUP sold 1.2million barrels of oil. Assume that r = 0.04.HINT: let k = 1.2 since PETRONAS GROUP sold 1.2 millionDISCLAIMER:The equation provided here is just a made-up equation for the purpose ofteaching and learning for integration.a. Find the total amount of oil that the PETRONAS GROUP will sell in the next10 and 15 years, respectively.HINT 1: S C'(t)dt = total amount of oilHINT 2: your lower limit will bet = 0b. 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 oilreserve? Let t = 0 to represent year 2020.HINT 1: [ C'(t)dt = 30HINT 2: your lower limit will be t = 0 , and you need to determine yourupper limit

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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.