Concept explainers
Oil Production in Mexico: Pemex The rate of crude oil production from 2009 to 2013 by Pemex, Mexico’s national oil company, can be approximated by
Where t is time in years since that start of 2000. During that time, Mexico exported crude oil to the United States at a rate of 14
Compute the area shown in the graph, and interpret the answer.
Year since 2000
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Chapter 14 Solutions
Finite Mathematics and Applied Calculus (MindTap Course List)
- Water Flea F. E Smith has reported on population growth of the water flea. In one experiment, he found that the time t, in days, required to reach a population of N is given by the relation e0.44t=NN0(228N0228N)4.46. Here N0 is the initial population size. If the initial population size is 50, how long is required for the population to grow to 125?arrow_forwardProjectile Motion In Exercises 75 and 76, consider the path of an object projected horizontally with a velocity of v feet per second at a height of s feet, where the model for the path is x2=v216ys. In this model (in which air resistance is disregarded), y is the height (in feet) of the projectile and x is the horizontal distance (in feet) the projectile travels. A ball is thrown from the top of a 100-foot tower with a velocity of 28 feet per second. (a) Write an equation for the parabolic path. (b) How far does the ball travel horizontally before it strikes the ground?arrow_forwardMinimum Cost A manufacturer of lighting fixtures has daily production costs of C=80010x+0.25x2, where C is the total cost (in dollars) and x is the number of units produced. What daily production number yields a minimum cost?arrow_forward
- Drug Concentration When a drug is administered orally, it takes some time before the blood concentration reaches its maximum level. After that time, concentration levels decrease. When 500 milligrams of procainamide is administered orally, one model for a particular patient gives blood concentration C, in milligrams per liter, after t hours as C=2.65(e0.2te2t) What is the maximum blood-level concentration, and when does that level occur?arrow_forwardConstruction Costs The town of Foxton lies 10 mi north of an abandoned east-west road that runs through Grimley, as shown in the figure. The point on the abandoned road closed to Foxton is 40 mi from Grimley. Country officials are about to build a new road connecting the two towns. They have determined that restoring the old road would cost 100,000 per mile, while building a new road would cost 200, 000 per mile. How much of the abandoned road should be used as indicated in the figure if the officials intend to spend exactly 6.8 million? Would it cost less than this amount to build a new road connecting the towns directly?arrow_forwardThe Skydiver Again When a skydiver jumps from an airplane, her downward velocity, n feet per second, before she opens her parachute is given by = 176 1 0.834t, where t is the number of seconds that have elapsed since she jumped from the airplane. We found earlier that the terminal velocity for the skydiver is 176 feet per second. How long does it take for her to reach 90 of terminal velocity?arrow_forward
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