The numbers of polio cases in the world are shown in the table for various years.Year Number of Polio Cases (thousands)198819921996200020052007Let f(t) be the number of polio cases in thousands t years since 1980.Use a graphing calculator to draw a scattergram of the data. Is it better to model the data by using a linearor exponential model? ExponentialFind an equation of f. Hintf(t)=3501383363.21.3The number of polio cases is decreasingPredict the number of polio cases 202HintRound the coefficients to 4 decimal places.oby 25.61%Predict in which year there will be 1 case of polio. HintyearsFind the approximate half-life of the number of polio cases. Hint✓✓o per year.

The general exponential equation is represented by the equation: . Here, x is the independent…

Answered: The numbers of polio cases in the world…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

An experiment involves dropping a ball and recording the distance it falls (y) for different times (x) after it was released. Construct a scatterplot and identify the mathematical model that best fits the given data. Assume that the model is to be used only for the scope of the given data, and consider only linear, quadratic, logarithmic, exponential, and power models. Time (seconds) 0.5 1 D 1.5 2 2.5 3 10.4 17.7 26.3 36 Distance (meters) 12 4.8 Choose the correct scatterplot below OA 40- OB ос. у OD. Y OE ya 40 30 What is the equation of the best model? Select the correct choice below and fill in the answer boxes to complete your choice. Enter only nonzero values. (Type integers or decimals rounded to three decimal places as needed.) OA y Inx 50 40- C
ome . The population of a town reaches 113000. 7 years ago the population was 82000. Assuming that the growth rate of the town is exponential then the growth rate of the population to the nearest tenth of a percent is % per year. Express 3 log, (a)-2log,(b)- log, (9)+-log,(c) as a single logarithm. 3 32 B.
Which logarithmic graph can be used to approximate the value of y in the equation 2y = 3?
The data in the table below shows the intensity and loudness level of variaous sounds a. Create a scatter plot for the data. b. Use the scatter plot to determine whether an exponential function, a logarithmic function, or a linear function is the best choice for modeling the data Intensity-watt per Meter2 (x) 0.1 3 25 97 Loudness Level- decibels (y) 109 120 131 141
why is an exponential function used to model the population data
Data from the Statistical Abstract of the United States show that in 1995 there were 55.61 thousand performances in the United States. From 1995 through 2007, this number increased on average by 8% each year. Let P denote the number of performances in thousands, and leg t denote the times in years since 1995, make an exponential model for P Versus t. how many performances by nonprofit professorial theaters does your model give for 2003? Round to three decimal places.
A 14. Health agencies collect data on the spread of diseases. Having this data allows them to better combat the spread of disease. The table shows the incidence of tuberculosis ove period of eight years. World Incidence of Tuberculosis Number Year (per 100,000 people) 2005 2006 2007 136 2008 2009 130 2010 128 2011 125 |2012 122 What type of function BEST models this data? O linear O exponential O quadratic O logarithmic
Please help!
Finding the Best Model. Construct a scatterplot and identify the mathematical model that best fits the given data. Assume that the model is to be used only for the scope of the given data, and consider only linear, quadratic, logarithmic, exponential, and power models. Bacteria Growth In a carefully controlled experiment, bacteria are allowed to grow for a week. The number of bacteria are recorded at the end of each day with these results: 20, 40, 80, 160, 320, 640, 1280.
A. Find a logarithmic function that models the data, with x equal to the number of years after 1995. B. Use the model to predict the percent of users in 2015. C. Will this model always be valid? Explain.
If you must upload writing from textbook all I ask is that its legible.
An experiment involves dropping a ball and recording the distance it falls (y) for different times (x) after it was released. Construct a scatterplot and identify the mathematical model that best fits the given data. Assume that the model is to be used only for the scope of the given data, and consider only linear, quadratic, logarithmic, exponential, and power models. Time (seconds) Distance (meters) 0.5 1 1.2 4.8 1.5 10.7 2 18.5 2.5 3 28 38.9 Choose the correct scatterplot below. OA. B. Q 50- 50- 40- ° 40-0 a 30- 20- 20- 10- 0- 2 G 10- 0- 0 1 2 C. O D. Q 50- 40- 30- 20- 10- о 0 1 2 3 Q 50- 40- Q 30- 20- ° G 10- ° ° 0- 0 1 2 What is the equation of the best model? Select the correct choice below and fill in the answer boxes to complete your choice. Enter only nonzero values. (Type integers or decimals rounded to three decimal places as needed.) OA. y= OB. y= + Inx OC. y= OD. y= OE. y= x + x+ о

SEE MORE QUESTIONS

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS