Practice Exam for Final
This first batch of questions was mediocre, since we are missing many important parts of the material, and there are many repeated types of problems. Y’all love your population models, apparently. If your question is not in this list, is because there was something else very similar already present. I was expecting to see a few questions on supply and demand, and more on applications to finance.
- The population of the World increased from 4.453 billion in 1980 to 5.397 billion in 1998, and continued at the same percentage rate between 1998 and 2013, and beyond. Express the population as a function of in years, and use it to compute the projected population in 2015.
- The Chinese population is approximately with in billions and in years since 1994.
- Find the yearly percent growth rate of the population.
- What was the population in 1994?
- Find the ARC of the population between 1995 and 2005.
- A bank advertises an interest rate of 7.8% per year. If we deposit $6,000 today, how much is in the account 4 years later? If the interest is compounded continuously, how much is in the account 4 years later?
- Find the relative rate of change in the price of a $86 pair of shoes if the price…
- is lowered to $58.50.
- is raised to $105.45$
- The population of Nevada in 2000 was 3.02 million, in 2006, it was 3.598 million. When did the population reach 3.3 million?
- The amount of an antibiotic in the bloodstream decreases by 5.3% a minute. We initially inoculate 125 mg.
- Express the amount of antibiotic in the bloodstream minutes after inoculation.
- When will the amount of antibiotic be 100 mg?
- The following table shows the world scooter production in millions between 1950 and 2000.
Year 1950 1960 1970 1980 1990 2000 Scooters 11 20 36 62 92 101
- Find the change in scooter production between 1960 and 1980. Give units.
- Find the average rate of change in the same period of time. Give units and interpret your answer in terms of scooter production.
- Compute for the function .
- Determine the –intercept of the line given by the formula
- A company that makes tables has fixed costs of $15,000 and variable costs of $35 per table. The tables are sold for $140 each.
- Find expressions for the cost and revenue functions.
- Compute the break-even point
Whoa! Excellent selection of questions. Fun story problems, pretty much touching every single topic covered in those lectures. Spot on! I even like the formatting of your word document. Great job! I did some small changes and got rid of a couple of repeated questions, or questions badly crafted. Feel free to download from the link below.
Another outstanding selection of questions, very thorough, and with lots of nice variations. I did not even mind the repetition of integrals, because they are such an integral part of this part of the course. (lots of puns intended in the previous sentence, of course). There are a few evil questions, which I really appreciate. Kudos to the creator of those (you know who you are)
I haven’t had time to analyze and process all the questions for part IV. I will do so sometime today. It did look very good at first sight, both in selection and difficulty level.
- Use your calculator to compute the definite integral .
- The value of a car in 1992 was $25,000. The value of the var decreases as time passes at a continuous rate of 6.4% per year. Assume this trend continues until 2014, when the car is sold. Let represent the number of years after the car was first purchased.
- Write an expression for the value of the car, , in years after 1992, in thousand dollars.
- Use left, right and average Riemann sums to approximate the total value of the car between 1992 and 2014 with and with .
- Compute the exact total change in the same amount of time
- Find the area of the region bounded by the graph of the function , the —axis, and the vertical lines , .
- A colony of bacteria has a population of 24 million bacteria. Some 4 hours later, the growth rate of said colony is million bacteria an hour.
- Use an integral to express the change in the amount of bacteria in the first 4 hours.
- What is the population of bacteria at the end of those 4 hours?
- A car travels at a speed of feet per seconds. How far has the car traveled in the first four minutes?