CMNS 110- Final Exam Guide - Comprehensive Notes for the exam ( 29 pages long!)

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Oneclassquestion: the function (cid:1858)(cid:4666)(cid:1876)(cid:4667)=(cid:1857) is called the ___________ exponential function. The number (cid:1857) is approximately equal to __________ Oneclasssolution: the function (cid:1858)(cid:4666)(cid:1876)(cid:4667)=(cid:1857) is called the natural exponential function. Oneclassquestion: in the formula (cid:4666)(cid:1872)(cid:4667)=(cid:1842)(cid:1857) for continuously compound interest, the letters (cid:1842), (cid:1870) , and (cid:1872) stand for _______ , _________ , and ________ , respectively, and (cid:4666)(cid:1872)(cid:4667) stands for_____ . Oneclasssolution: in the formula (cid:4666)(cid:1872)(cid:4667)=(cid:1842)(cid:1857) for continuously compound interest, the letters (cid:1842), (cid:1870) , and (cid:1872) stand for principal amount, interest rate per year and number of years, respectively, and (cid:4666)(cid:1872)(cid:4667) stands for amount after years. So if is invested at an interest rate of 6% compounded continuously, then the amount after 2 years is =(cid:883)(cid:882)(cid:882)(cid:1857)(cid:2874) (cid:2870)=(cid:883)(cid:883)(cid:884). (cid:889)(cid:887) is invested at an interest rate of 6% compounded continuously, then the amount after 2 years is. Oneclasssolution:using calculator we got the value when (cid:4666)(cid:1876)(cid:4667)=(cid:1857): Oneclassquestion: evaluating exponential functions: use a calculator to evaluate the function at the indicated values.