University of Technology and Applied Sciences – Al MusannaDepartment of Information TechnologyMathematics SectionStudents Work Sheet-3Semester II, Academic Year 2020-2021Student IDSectionStudent NameEmail-idCourse Code & NameMATH1200 & Calculus ISubmission Due Date02/04/2021Mode of submissionOnlineAnswer the following questions:1. Use logarithmic differentiation to find first derivative of y = xstnx2. Verify Rolle's Theorem for f(x) = x2 – 5x + 3 on [0,5]

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Answered: 1. Use logarithmic differentiation to…

Math

Calculus

1. Use logarithmic differentiation to find first derivative of y = xsinx

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.8: Fitting Exponential Models To Data

Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...

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Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. a. Let x represent time in years starting with x=0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. b. Use the model to predict the seal population for the year 2020. c. To the nearest whole number, what is the limiting value of this model?
Table 2 shows a recent graduate’s credit card balance each month after graduation. a. Use exponential regression to fit a model to these data. b. If spending continues at this rate, what will the graduate’s credit card debt be one year after graduating?
What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?
Use log21=0,log22=1, and log24=2 to estimate log23.
I believe this uses chain rule and logarithmic differentiation
The prices of stocks or other financial instruments are often modeled with a lognormal distribution. An investor is considering purchasing stock in one of two companies, A or B. The price of a share of stock today is $1 for both companies. For company A, the value of the stock one year from now is modeled as lognormal with parameters μ = 0.05 and σ = 0.1. For company B, the value of the stock one year from now is modeled as lognormal with parameters μ = 0.02 and σ = 0.2. a) Find the mean of the price of one share of company A one year from now. b) Find the probability that the price of one share of company A one year from now will be greater than $1.20. c) Find the mean of the price of one share of company B one year from now. d) Find the probability that the price of one share of company B one year from now will be greater than $1.20.
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In Example 6 we used data from 1920 and projected to 2050 and found that the expected life span in the United States can be modeled as a function of the year of birth by L(x) = 8.7744 + 14.907 ln(x) where x is the number of years after 1900. Using data from 1920 to 1989, the model ℓ(x) = 11.616 + 14.144 ln(x) where x is the number of years after 1900, predicts expected life span as a function of birth year. Use both models to predict the life spans for people born in 2006 and in 2022. (Round your answers to two decimal places.) model L: 2006 years model L: 2022 years model ℓ: 2006 years model ℓ: 2022 years Did adding data from 1990 to 2050 give predictions that were quite different from or very similar to predictions based on the model without that data? The additional data gave predictions that were quite different than (i.e., more than 5 years removed from) predictions based on the earlier model. The additional data gave predictions that were very…
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Assuming that an autoregressive model is appropriatefor the crude oil data , the estimates of a, b, and σ/√Nobtained from a standard statistical package area = 0.03, b = 0.975 , σ/√N = 0.020 , K = 220 Consequently, if the present price is 210, then the logarithmof the price at the end of another 50 trading days is a normalrandom variable. CALCULATE the values of m , v , h, and C
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A psychologist conducted a study to examine the nature of the relation, if any, between an employee’s emotional stability and the employee’s ability to perform in a task group. Emotional stability was measured by a written test for which the higher the score, the greater the emotional stability. Ability to perform in a task group was evaluated by the supervisor. An employee was given a 1 if they were able to perform a task in the group, and 0 if they were unable. Following output gives the results from a logistic regression analysis on the data provided by a sample of 27 employees. (a) what is the estimated logistic regression line? (b) Convert your slope estimate into an estimate for the odds ratio, and interpret the results. (c) Estimate the odds of the being able to perform in a task group for an employee with an emotional stability score of 510.