60e + 93e-18eFind the vertical asymptote of y =13e-Note: Give the exact answer but not the decimal approximation(for example, write 4/5 istead of 0.8). Write In for natural logarithm not log_e. also remember toput brackets, for example, write In(1/2) not In 1/2.Answer:The vertical asymptote is

Answered: Image /qna-images/answer/cfbbda8b-99c7-4d60-8e56-3e6c3520cbac.jpg

Answered: 60e + 93e Find the vertical asymptote…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.6: Exponential And Logarithmic Equations

Problem 80SE: Recall the compound interest formula A=a(1+rk)kt. Use the definition of a logarithm along...

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Reaction Time For certain decisions, the time it takes to respond is a logarithmic function of the number of choices faced. One model is, R=0.17+0.44logN where R is the reaction time in seconds and N is the number of choices. a.Draw a graph of R versus N. Include values of N from 1 to 10 choices. b.Using functional notation, express the reaction if there are seven choices, and then calculate that time. c.If the reaction is to be at most 0.5 second, how many choices can there be? d.If the number of choices increases by a factor of 10, what happens to the reaction time. e.Explain in practical terms what the concavity of graph means.
Newton’s Law ofCooling states that the temperatureTof an object at any time t can be described by theequation T=Ts+(T0Ts)ekt, where Ts is thetemperature of the surrounding environment, T0 is the initial temperature of the object, and k is thecooling rate. Use the definition of a logarithm alongwith properties of logarithms to solve the formula fortime tsuch that tis equal to a single logarithm.
DICUSS DISCOVER: The Number of Digits in an integer Compare log1000 to the number of digits in 1000. Do the same for 10,000. How many digits does any number between 1000and10, 000 have? Between what two values must the common logarithm of such a number lie? Use your observations to explain why the number of digits in any positive integer xislogx+1. The symbol n is the greatest integer function defined in Section 2.2. How many digits does the number 2100 have?
Changeof Base Formula Use the Change of Base Formula to show that loge=1In10
Age of Haddock The age T, in years, of a haddock can be thought of as a function of its length L, in centimeters. One common model uses the natural logarithm: T=195ln(53L). a.Draw a graph of age versus length . include lengths between 25 and 50 centimeters. b.Using functional notation, express the age of a haddock that is 35 centimeters long, and then calculate that value. c.How long is a haddock that is 10 years old.
Recall the compound interest formula A=a(1+rk)kt. Use the definition of a logarithm along withproperties of logarithms to solve the formula for time t.

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