A country is in a state of civil war. As a consequence of deaths and people fleeing the country, its population is decreasing at arate of D(x) people per month. The rate of increase of the population as a result of births and immigration is 1(x) people permonth. The variable x is the number of months since the beginning of the year. Graphs of D and I are shown in the figure. RegionR₁ has area 3630, and region R₂ has area 9750.y peopleper monthR₁R₂3(a) Interpret the area of region R₁.4(b) Interpret the area of region R₂.DxmonthDuring the first month, the population increased bypeople.During the second through fourth months, the population decreased bypeople.(c) Calculate the change in population from the beginning of January through the end of April,people(d) Explain why the answer to part (c) is not the sum of the areas of the two regions.Because the graphs intersect, the area of R₁ represents a(n) increaseR₂ represents a(n) decreasein the population and the area ofin the population. The net change is the difference

Note:- These are multiple subparts according to company we can do maximum 3 sub parts. So i am doing…

Answered: A country is in a state of civil war.…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Uni X A 1,5 X A 1.6 Line K Grac X %7Bids %3A%5B'1fBdxX4XrobMZO81NPr2tF-VegKy07xDQ"%5D.. Powered by.- A MSD Log On Washington Career 0 Welcome to Longvi. T MMHSlibhome M KnightCite Citation. O Super Home Page PQ Basic Search-ProQ. gebra I 2nd Grace Sims - 1.6 HW Alg 2 - Gcogle Docs.pdf 1 50% A Turn 3. In football, a kicker can Score one point for the extra point on a touchdown or three points for a field goal. Logan is a kicker for his high school football team. The record number of points scored by a kicker in a single game is 24. Logan is hoping to beat this record in his next game. a) Write a linear inequality to represent this situation, then graph. b) Using your graph, give two possible combinations extra point kicks and fieldgoals Logan could score to beat the current record. 4. x-6y< 12
a) A Multiple Linear Regression Model in the form provided in Equation 1 is required to predict the amount of trips likely to be generated in the Bortianor vicinity in 2040. Y=a+ajX1+æXz+æX3 (Equation 1) where Y= trips/household to work X1= number of cars owned by household X2 = income of household X3 = household size ao, ai, æ and a3 =constants Using the corelation matrix obtained from a base year survey in Table 5, detemine all the possible equations that can be fomulated in the fom of Equation 1 out of which the best predictive model will be selected. Give reasons for your choice of equations. Assume all the independent variables are linearly related to the dependent variable and eachindependent variable is easily projected. Table 5: Comrelation matrix Trips Household size Car Income ownership Trips Car ownership Income Household size 1 0.65 1 0.90 0.89 1 0.97 0.25 0.18 1
The annual expenditure for cell phones varies by the age of an individual. The average annual expenditure E(a) (in $) for individuals of age a (in years) is given below:a: 20, 30, 40, 50, 60, 70E(a): 502, 658, 649, 627, 476, 2131. Use quadratic regression to find the model that best represents the data.2. At what age is the yearly expenditure for cell phones the greatest? Round the answer to the nearest year. YOU MUST SHOW THE WORK FOR THIS PART!
At wind speeds above 1000 centimeters per second (cm/sec), significant sand-moving events begin to occur. Wind speeds below 1000 cm/sec deposit sand and wind speeds above 1000 cm/sec move sand to new locations. The cyclic nature of wind and moving sand determines the shape and location of large dunes. At a test site, the prevailing direction of the wind did not change noticeably. However, the velocity did change. Sixty-three wind speed readings gave an average velocity of x = 1075 cm/sec. Based on long-term experience, ? can be assumed to be 255 cm/sec.
At wind speeds above 1000 centimeters per second (cm/sec), significant sand-moving events begin to occur. Wind speeds below 1000 cm/sec deposit sand and wind speeds above 1000 cm/sec move sand to new locations. The cyclic nature of wind and moving sand determines the shape and location of large dunes. At a test site, the prevailing direction of the wind did not change noticeably. However, the velocity did change. Sixty-five wind speed readings gave an average velocity of x = 1075 cm/sec. Based on long-term experience, ? can be assumed to be 255 cm/sec. (a) Find a 95% confidence interval for the population mean wind speed at this site. (Round your answers to the nearest whole number.) lower limit ______cm/sec upper limit _____cm/sec
From 2000 through 2009, the population of State A grew more slowly than that of State B. Models that represent the populations of the two states are given by P = 37.5t + 6075 State A P = 168.2t + 5138 State B where P is the population (in thousands) and t represents the year, with t = 0 corresponding to 2000. Use the models to estimate when the population of State B first exceeded the population of State A. (Round your answer to the nearest year.)
. At wind speeds above 1000 cm/sec, significant sand–moving events begin to occur. Wind speeds below 1000 cm/sec deposit sand and wind speeds above 1000 cm/sec move sand to new locations. The cyclic nature of wind and moving sand determines the shape and location of large dunes. At a test site, the prevailing direction of the wind did not change noticeably. However, the velocity did change. 75 wind speed readings gave an average velocity of x =1045 cm/sec. Based on long–term experience,  can be assumed to be 240 cm/sec Find a 99% confidence interval for the population mean wind speed at this site. (Round your answers to the nearest whole number) (DO A MANUAL CALCULATION, SHOWING ALL WORK INCLUDING THE EQUATION USED AND THEN WITH ALL VALUES PLUGGED INTO THE EQUATION)(SHOW WORK ABOVE) [final answer] Margin of Error: E = (value with units)[final answer] Confidence Interval : _________________ < __________________ < __________________ (value with units) (correct symbol) (value with…
Determine each key feature of the following graph.

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