F(x) is shown in 2nd photo. Consider the function f defined by f(x) =its domain.a) First compute_lim_f(x). Answer:xx515abab√aa5+2e-2x1-16e-2xπ sin (a)Our goal in this question is to understand its behaviour as a goes to too, as well as near gaps inE4 logaFor which point(s) a do we haveFor which point(s) a do we haveFor which point(s) a do we haveFor which point(s) a do we havelimx-alimx-alimx→a+limx-a+f(x) = +∞o? Answer:f(x) == -∞? Answer:f(x)= +∞o ? Answer:f(x) == -∞ ? Answer:For

Answered: Image /qna-images/answer/e8925f74-e31e-40fd-a52b-e5ddd0b0d4f8.jpg

Answered: Consider the function f defined by f(x)…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.2: Exponential Functions

Problem 35E

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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.
A Population of Foxes A breeding group of foxes is introduced into a protected area, and the population growth follws a logistic pattern. After t years, the population of foxes is given by N=37.50.25+0.76t foxes. a. How many foxes were intorduced into the protected area? b. Make a graph of N versus t and explain in words how the populatoin of foxes increases with time. c. When will the fox population reach 100 individuals?
Sales Growth In this exercise, we develop a model for the growth rate G, in thousands of dollars per year, in sales of the product as a function of the sales level s, in thousands of dollars. The model assumes that there is a limit to the total amount of sales that can be attained. In this situation, we use the term unattained sales for difference this limit and the current sales level. For example, if we expect sales grow to 3 thousand dollars in the long run, then 3-s is the unattained sales. The model states that the growth rate G is proportional to the product of the sales level s, and the unattained sales. Assume that the constant of proportionality is 0.3 and that the sales grow to 2 thousand dollars in the long run. a.Find the formula for unattained sales. b.Write an equation that shows the proportionality relation for G. c.On the basis of the equation from the part b, make a graph of G as a function of s. d.At what sales level is the growth rate as large as possible? e.What is the largest possible growth rate?

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Consider the function f defined by f(x) = its domain. a) First compute lim f(x). Answer: XX 5 b a a b √a a π 5+2e-2x 1-16e-2x sin (a) Our goal in this question is to understand its behaviour as a goes to too, as well as near gaps in E