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Calculus & Its Applications (14th Edition)
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- Oil Consumption Suppose that the rate of consumption of a natural resource is c(t), where c(t)=kert, Here t is the time in years, r is a constant, and k is the consumption in the year when t=0. In 2010, an oil company sold 1.2 billion barrels of oil. Assume that r=0.04. a. Write c(t) for the oil company, letting t=0 represent 2010. b. Set up a definite integral for the amount of oil that the company will sell in the next 10 years. c. Evaluate the definite integral of part b. d. The company has about 20 billion barrels of oil in reserve. To find the number of years that this amount will last, solve the equation 0T1.2e0.04tdt=20. e. Rework part d, assuming that r=0.02.arrow_forwardA soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in inches. a. Using the fact that the volume of the can is 25 cubic inches, express h in terms of x. b. Express the total surface area S of the can in terms of x.arrow_forward
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