This is a very relevant topic in this Covid-19 era. Discuss.99. The graph in the following figure models the numbof people N(1) who have come down with the flu / weeksafter its initial outbreak in a town with a population of50,000 citizens.a. Describe what N'(t) represents and how it behavesas / increases.b. What does the derivative tell us about how thistown is affected by the flu outbreak?54,00048,000-42,00036,000-30,00024,000+18,00012,0006,00001 23لا4 5 67 8 9 10*HINT: Discuss this in terms of the time intervals [0,1], [1,3], [3,5], and [5,10].

The graph of the number of people N(t) who have come down with the flu t weeks after its initial…

Answered: 99. The graph in the following figure…

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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19. Below is the data set for the temperature on an exceptionally hot day in Boise over an 8-hour period. The time t = 0 corresponds to 12:00 p.m. and range temperature T(t) is measured in degrees Fahrenheit as a function of time t. 12:00 p.m. 1:00 p.m. 2:00 p.m. 3:00 p.m. 4:00 p.m. 5:00 p.m. 6:00 p.m. 7:00 p.m. 8:00 p.m. Time, t Temp (°F), T(t) 0 74 1 80 86 95 101 100 96 88 76 2 3 اداس 4 5 6 7 8 Temperature (degrees F) 105 100 95 90 85 80 75 70 65 60 0 1 b) Write the linearization for the temperature at t = 3. 2 a) Find a good approximation of the ROC at t = 3. Include units. Temperature vs. Time 6 3 5 Time (hours starting at 12:00 p.m.) c) Find the linear approximation for the temperature at t = 3.5 (3:30PM). 7 8 9
The biologist has a second culture to examine. She knows that the population of the culture doubles every 15 minutes. After 1 hour and 15 minutes, her assistant found that 80,000 bacteria were present. 2. (a) What was the size of the initial population? Predict the size of the culture at t=3 hours. What was the size of the population at 40 minutes? Explain and justify your answers. (b) Create a graph of the population as a function of time. Find an equation that can be used to predict the size of the population at any time t. (c) Examine the rate at which the bacteria culture is growing. How fast growing after 1 hour? After 1.5 hours? After 2 hours? Use a time interval of h = 0.01 hours to estimate these rates. Interpret these rates in terms of the context of the problem situation. How do these three rates compare? (d) the culture
2. An investment of $100 is placed into an account that earns interest, compounded annually, at a rate of 5% for 7 years. The amount, A, in the account can be modelled by the function A = 100(1.05)', where t is the time, in years. What is the domain of this function? a. (t e R, 2 7} b. (t e R, 0 SIS7) c. (te R, t > 7} d. (t e R,0
The U.S. population can be modeled by the function y=165.6x¹.345, where y is in thousands and x is the number of years after 1800. (a) What was the population in 1970, according to this model? (b) is the graph of this function concave up or concave down? What does this mean? (c) Use numerical or graphical methods to find when the model estimates the population was 94,150,000. (a) According to the model, the population in 1970 was thousands. (Round to the nearest integer as needed.)
15. The graph below shows the height, H (in cm), of a tomato plant 1 days after it is planted outdoors. 100 10 20 30 40 50 60 70 80 (a) What is the height of the plant on the day it is planted outdoors? (b) How tall is the plant after 30 days? 90 1 (c) How many days does it take for the plant to reach 80 cm? (d) Where is the height of the plant increasing the slowest? Where is the height of the plant increasing the fastest?
3. A principal of (A) OR is deposited in an account that pays A/100 interest compounded yearly. Account balance function in response of time (years)is B(y) = 1(1+ c)" I: initial value A=347, W=19, R=9347 c: interest compounded yearly v: time in vear a. Find the account balance after W months. b. Show by graphing if B(y) function is increasing or decreasing. c. After how many years the account balance will be (R) OR.

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