5) Sketch a possible graph for the function that satisfies all of the following criteria and justifyyour sketch by clearly labelling each of the given information.o Average rate of change = 5 for t e [1 ,5]O Average rate of change = -20 for t e[1,10]o Average rate of change = 0 for te [2,9]o Instantaneous rate of change = -10 at t = 2Instantaneous rate of change = 0 at t =3

Answered: Image /qna-images/answer/ee5abfaf-3792-45ca-af9c-4ceaf8beb5f0.jpg

Answered: 5) Sketch a possible graph for the…

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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2.Use the graph to answer the following
The function given by y = f(x) shows the average monthly temperature (in °F) for Cedar Key. The value of x is the month number and x = 1 represents January. a. Find the average rate of change in temperature between months 3 and 5 (March and May). b. Find the average rate of change in temperature between months 9 and 11 (September and November). c. Comparing the results in parts (a) and (b), what does a positive rate of change mean in the context of this problem? What does a negative rate of change mean? Average Monthly Temperature for Cedar Key, Florida 100 |(5,75) (9,79) 80 y = f(x) 60 (3,64) (11,64) 40 20 0. Month (x = 1 represents January) 4 10 12 Temperature (°F)
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
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
6. A college dormitory of 1000 students has a flu epidemic. The number of students, F, being infected can be modeled by: F(t) : = 1000 (1 + 0.22t )0.11 where t is measured in days. %3D Interpret the instantaneous rate of change when t is 3. Answer in the context of the problem. Use complete sentences.
5. Given the graph of f(x) shown below, explain why the instantaneous rate of change of the function cannot be determined at point P. -3 +3 -3 y P 3 X 2

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5) Sketch a possible graph for the function that satisfies all of the following criteria and justify your sketch by clearly labelling each of the given information. o Average rate of change = 5 for te [1,5] o Average rate of change = -20 for t e[1,10] o Average rate of change = 0 for te [2,9] %3!