Connecting Graphs with Equations Determine the simplest form of an equationfor the graph. Choose b>0, and include no phase shifts.Show your work.2.2-2ト+

Answered: Image /qna-images/answer/11fb7586-ae01-4e36-b4b3-1adfbc7227f5.jpg

Answered: Show your work. 2.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.5: Linear Functions And Models

Problem 4E

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World Crude Oil Production In 1956, M.King Hubbert proposed a model to analyse crude oil production. His model, with updated data, gives world crude oil production as P=254.43e0.042t(1+2.12e0.042t)2 Here P is measured in billions of barrels per year, and t is time, in year, since 2000. a.Make a graph of world crude oil production for 2000 through 2040. b.When does this model predict a peak in world crude oil production? c.What is the maximum crude oil production predicted by this model?
Population Statistics The table shows the life expectancies of a child (at birth) in the United States for selected years from 1940 through 2010. A model for the life expectancy during this period is y=63.6+0.97t1+0.01t,0t70 Where y represents the life expectancy and t is the time in years, with t = 0 corresponding to 1940. (a) Use a graphing utility to graph the data from the table and the model in the same viewing window. How well does the model fit the data? Explain. (b) Determine the life expectancy in 1990 both graphically and algebraically. (c) Use the graph to determine the year when life expectancy was approximately 70.1. verify your answer algebraically. (d) Find the y-intercept of the graph of the model. What does it represent in the context of the problem? (e) Do you think this model can be used to predict the life expectancy of a child 50 years from now?
Analyzing the functions below, compare and contrast the two functions in each problem situation. Be sure to use complete sentences in your comparison. Be sure to include a discussion of similarities and differences for the periods, amplitudes, y-minimums, y-maximums, and any phase shift between the two graphs. Use the rubric below as a guideline for your solutions. y= 4sin(2x-π) and y=cos(3x- π/2)
What is the phase shift,min,max, and how do you graph, as well as factoring out b from the equation: f(x) = 3sec(3x-pi/2)+2
A Ferris wheel is 20 meters in diameter and boarded from a platform that is 1 meter above the ground. The six o’clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 16 minutes. The function h(t) gives a person’s height in meters above the ground t minutes after the wheel begins to turn. how to find phase shift and write the equation for hight
Can you explain how to find the period and the phase shift with there being two points? (-9,0) and (1,0) That part is throwing me off guard. The equation I made was f(x)= 2sin(pi/5(x-0)+2) I did the point-slope formula between the two points to get 0 for the phase shift but I'm sure if that's what I'm supposed to do
Depreciation A hospital purchases a new magnetic resonance imaging (MRI) machine for $1.2 million. The depreciated value y (reduced value) after t years is given by y=1,200,00080,000t,0t10. Sketch the graph of the equation.
Oscillation of a Spring A ball that is bobbing up and down on the end of a spring has a maximum displacement of 3 inches. Its motion (in ideal conditions) is modeled by y=14cos16t,t0, where y is measured in feet and t is the time in seconds. (a) Graph the function. (b) What is the period of the oscillations? (c) Determine the first time the weight passes the point of equilibrium y=0.
Flood Control A river is 8 feet above its flood stage. The water is receding at a rate of 3 inches per hour. Write a mathematical model that shows the number of feet above flood stage after t hours. Assuming the water continually recedes at this rate, when will the river be 1 foot above its flood stage?
A model that can predict a child’s height H (in centimeters) based on the child’s age is H=70.228+5.104x+9.222lnx,14x6 where x is the child’s age in years. (a) Construct a table of values for the model. Then sketch the graph of the model. (b) Use the graph from part (a) to predict the height of a four-year-old child. Then confirm your prediction algebraically.
The curve above is the graph of a sinusoidal function. It goes through the point (0,1)(0,1) and (8,1)(8,1). Find a sinusoidal function that matches the given graph. f(x)=
Please help me solve this question. I have done the velocity and acceleration equations, but I'm not sure about the rest of the questions or how to draw the graph. The original question is in the pictures at the top. v(t)= 184-32t a(t)= -32 Draw a graph that represents s=f(t), v(t), and a(t). The window is [0,11.5] by [-190, 550]. a. When is the object momentarily at rest?

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