TAILIEUCHUNG - Calculus: An Integrated Approach to Functions and their Rates of Change, Preliminary Edition Part 62

Calculus: An Integrated Approach to Functions and their Rates of Change, Preliminary Edition Part 62. A major complaint of professors teaching calculus is that students don't have the appropriate background to work through the calculus course successfully. This text is targeted directly at this underprepared audience. This is a single-variable (2-semester) calculus text that incorporates a conceptual re-introduction to key precalculus ideas throughout the exposition as appropriate. This is the ideal resource for those schools dealing with poorly prepared students or for schools introducing a slower paced, integrated precalculus/calculus course | Applications of Geometric Sums and Series 591 22. Suppose you borrow 18 000 at an interest rate of 8 compounded annually. You begin paying back money four years from today and make flxed payments annually. You pay back the entire debt after six payments. What are your annual payments Begin by figuring out the ballpark figures. Will you pay more than 3000 each year What is an upper bound for the amount of money you will pay each year 23. A prince takes out a loan of 200 000 in order to finance his castle. The interest rate is 12 per year compounded monthly and he has a 15-year mortgage. He will pay back the loan by paying a fixed amount F dollars every month beginning one month from today and continuing for the next 15 years. What is F Note that the sum of the present values of his payments pulled back to the present using an interest rate of 12 should equal his loan. 24. Lithium a drug that is used to treat manic depression or bipolar disorder has a half-life of 24 hours. Suppose a patient begins taking a pill of M mg every 12 hours. What is the level of the drug in the patient s body two weeks into treatment immediately after taking the 28th pill 25. A physician prescribes a pill to be taken daily. Suppose that the half-life of the medication in the patient s bloodstream is 10 days. How many milligrams of medicine should the doctor prescribe if she wants the maximum level of the drug in the bloodstream to reach L mg but not to surpass it. Assume that the drug is to be taken indefinitely. Your answer will be in terms of L. 26. At the beginning of each month a medical research center buries its refuse in its refuse dump. The monthly refuse deposit contains 40 grams of radioactive material. The radioactive material decays at a rate proportional to itself with proportionality constant . a How much of the radioactive material buried at the beginning of the month is radioactive t months later b Immediately after the 60th monthly dump how much radioactive .

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