CALCULUS:GRAPHICAL...,AP ED.-W/ACCESS
5th Edition
ISBN: 9780133314564
Author: Finney
Publisher: SAVVAS L
expand_more
expand_more
format_list_bulleted
Question
error_outline
This textbook solution is under construction.
Students have asked these similar questions
The rate of increase of the number of working married couples M (in millions) in the United States from 2008 through 2014 can be modeled bydM = 0.0918t2 − 1.988t + 10.28 dtwhere t is the time in years, with t = 8 corresponding to 2008. The number of working married couples in 2014 was 31.7 million. (Source: U.S. Census Bureau)(a) Find the model for the number of working married couples in the United States.(b) Use the model to predict the number of working married couples in the United States in 2019. Does your answer seem reasonable? Explain your reasoning
The growth rate of the population P of Horry county in South Carolina from 1970 through 2013 can be modeled bydP = 145.52t + 2002.3 dtwhere t is the time in years, with t = 0 corresponding to 1970. The county’s population was 289,650 in 2013. (Source: U.S. Census Bureau)(a) Find the model for Horry County’s population.(b) Use the model to predict the population in 2021. Does your answer seem reasonable? Explain your reasoning.
A red maple sapling was 3 feet tall when planted in 2010. Six years later, the tree was 18 feet tall. The growth rate of the tree is constant over time. Find a linear model for the height H (in ft) of the red maple t years after 2010. Let
t = 0
represent 2010.
H =
What is the expected height (in ft) of the red maple in 2020?
ft
Knowledge Booster
Similar questions
- What is the y -intercept on the graph of the logistic model given in the previous exercise?arrow_forwardbThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.arrow_forwardTable 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?arrow_forward
- 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?arrow_forwardIf ? = 1.602×10!!"?, calculate the value of h from the slope (include the unit). The slope is = -7.94x10^13 and the intercept is = 8.21x10^14arrow_forward1. A tennis ball is dropped from the top of a building that is 1545 feet tall, with an initial velocity of -30.5 feet per second. Use the position function s(t)=-16t^2+v0t+s0 to help you answer the given questions. a.Write the equations of the position and instantaneous velocity functions. b. What is the average velocity over the first two seconds? c.When does the coin hit the ground? Round your answer to two decimal places. d.What is the velocity of the coin upon impact? 2.find all the values of x for which f(x) will have a horizontal tangent line f(x)=(x-4)/(x^2-7) 3. Find the derivative of the function. g(x)=4x(3x+2)^5 4.arrow_forward
- 25. (a) Determine whether y = 3. 7* is a linear, power, or exponential function (i.e, choose one column,and fill in the missing values in that column. Linear Function slope = Power Function coefficient = Exponential Function initial value = y-intercept = exponent = b = (b) Determine whether y = is a linear, power, or exponential function (i.e, choose one column,and fill in the missing values in that column. Exponential Function initial value Linear Function Power Function coefficient = slope = y-intercept = exponent = (c) Determine wheter y = 3- (r+10)-7x is a linear, power, or exponential function (i.e, choose one column,and fill in the missing values in that column. Linear Function slope = Power Function coefficient = Exponential Function initial value = y-intercept = exponent = b = (d) Determine wheter y = 12" · 997 is a linear, power, or exponential function (i.e, choose one column,and fill in the missing values in that column. Linear Function slope = Power Function coefficient =…arrow_forwardSolve the problem. Find the equation of the curve for which the second derivative is 6. The curve passes through (1, 10) with a slope of 15. (A y = 3x 2 + 9x (B y = 3x 2 - 9x - 2 © y = 3x 2 + 9x - 2 y = 3x 2arrow_forwardA new fertilizer is being tested on a stalk of corn. The height of the corn is increasing in a linear fashion during the test period. The height of the corn t days after the fertilizer is first applied is given by H = 14 + 1.4t centimeters. Explain in practical terms the meaning of the initial value and growth rate. In practical terms this means "The corn's height when the fertilizer was applied was and it grows by ."arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell