7. [Geogebra Question] Let's use Geogebra to compose two complicated functions anddetermine the specific values in Question 68 of the textbook on page 76. A study pre-pared for the National Association of Realtors estimated that the number of housingstarts per year over the next 5 years will be7N(r):1+ 0.02r2million units, where r (percent) is the mortgage rate. Suppose the mortgage rate tmonths from now will be5t + 75r(t):(0 r(t)=(5*t+75), then press backlash (/) and then (t+10) for the denomina-torDefine the composition function using the commandN(r(t))(b) Using the result from part (a), determine the number of housing starts 12 monthsfrom now and 18 months from now.To determine the number of housing starts 12 months from now, (t = 12), usethe commandN(r(12))The number of housing started t = 12 is the output. Determine the numberof housing started at 18 months by modifying this code. Save a screenshot. Titleas Question 7

The given question can be solved as shown in step2.

Answered: [Geogebra Question] Let's use Geogebra…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section: Chapter Questions

Problem 20P: In these problem you are asked to find a function that models a real-life situation and then use the...

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In this problem you are asked to find a function that models in real life situation and then use the model to answer questions about the guidelines on page 273 to help you. Minimizing Time A man stands at a point A on the bank of a straight river, 2 mi wide. To reach point B, 7 mi downstream on the opposite bank, he first rows his boat to point Pon the opposite bank and then walks the remaining distances x to B, as shown in the figure. He can row at a speed or 2 mi/h and walk as a speed of mi/h (a) Find a function that models the time needed for the trip. (b) Where should he land so that he reaches B as soon as possible?
In these problem you are asked to find a function that models a real-life situation and then use the model to answer questions about the situation. Use the guidelines on page 273 to help you. Minimizing a Sum Find two possible numbers whose sum is 100 and the sum or whose squares is a minimum.
I am on Section 4.5 of the James Stewart Calculus Eighth Edition textbook and I need to sketch the curve of a given function using the guidelines: Domain Intercepts Symmetry Asymptotes Intervals of Increase or Decrease Local Maximum and Minimum Values Concavity and Points of Inflection I need help with finding the Second Derivative of problem #11, in page 321 in order to find out the concavity and points of inflection for the given function.
Given the points (2,6) and (6,10), find at least three equations from different function families (linear, exponential, quadratic, etc.) that pass through these points
It is the chapter on applications of derivatives under applied optimization. By using optimization, please help solve question 8.
Discuss two practical applications in which “piecewise functions” are used either explicitly or implicitly. To the best of your ability, using mathematical notion or in words, create any one of the functions stated above.
4.1(3) Determines the derivative of each function. Please make sure to show your work & calculations step by steps.
For a curve to be symmetric about the x-axis, the point (x, y) must lie on the curve if and only if the point (x, -y) lies on the curve. Explain why a curve that is symmetric about the x-axis is not the graph of a function, unless the function is y = 0.
How to find stationary points for f(x) = x^2-6x^2+9x and their local max or local min
In a board game, a certain number of points is awarded to a player upon rolling a six sided die (labeled 1 to 6) according to the function f(x) = 2x - 1, where a is the value rolled on the die. Find and interpret the given function values and determine an appropriate domain for the function. f(1) = ___， meaning when a __is rolled on the die, the player is awarded ___points. This interpretation ___ (makes sense/does NOT make sense) the context of the problem. f(5.5) = --- meaning when a ___is rolled on the die, the player is awarded --points. This (makes sense/does NOT make interpretation sense) in the context of the problem. f(7) =---, meaning when a ___is rolled on the die, the player is awarded___points. This interpretation ___（makes sense/does NOT make sense) in the context of the problem. Based on the observations above, it is clear that an appropriate domain for the function is__- (all real numbers /non-negative real numbers /real numbers in a≤x≤b /integers /whole numbers 0,…
The position of a car driving along a straight road at time tt in minutes is given by the function y=s(t)y=s(t) that is pictured below. The car's position function has units measured in thousands of feet. For instance, the point (2,4)(2,4) on the graph indicates that after 22 minutes, the car has traveled 40004000 feet. In everyday language, describe the behavior of the car over the provided time interval. In particular, you should carefully discuss what is happening on each of the time intervals [0,1][0,1], [1,2][1,2], [2,3][2,3], [3,4][3,4], and [4,5][4,5], plus provide commentary overall on what the car is doing on the interval [0,12][0,12].
The monthly cost C, in dollars, for wirelessdata plans with x gigabytes of data included is shown in thetable on the top left column of the next page. Since eachinput value for x corresponds to exactly one output valuefor C, the plan cost is a function of the number of datagigabytes. Thus C1x2 represents the monthly cost for awireless data plan with x gigabytes included. (a) Plot the points 14, 702, 16, 802, 110, 1002, and so on ina Cartesian plane.(b) Draw a line segment from the point 110, 1002 to130, 2252. What does the slope of this line segmentrepresent?(c) Find the average rate of change of the monthly costfrom 4 to 10 gigabytes.(d) Find the average rate of change of the monthly costfrom 10 to 30 gigabytes.(e) Find the average rate of change of the monthly costfrom 30 to 50 gigabytes.(f) What is happening to the average rate of change as thegigabytes of data increase?

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