Answered: What is the difference between the…

Math

Calculus

What is the difference between the average rate of change and instantaneous rate of change?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 1SE: Can the average rate of change of a function be constant?

See similar textbooks

Related questions

Q: What is the relationship between the angle of refraction and the index of refraction? Is it linear…

Q: The analyst is interested in estimating effects of percentage change of individual work experience…

A: Here in given scenario both dependent and independent variable change in percentage

Q: How does the average rate of change differ for a linear function versus an increasing exponential…

A: Given two function a linear function and an exponential function.

Q: What does it mean if two quantities vary directly? Explain.

Q: A square has a side length that is decreasing at a rate of 8 cm per second. What is the rate of…

Q: What continuous interest rate eqauls an annual interest rate of 2 % ? Give your answer as a decimal…

Q: The number of crimes that occurred in a certain city per 1000 people had decreased from 45.9 in 1920…

A: To determine the average rate of change in the number of crimes per 1000 people.

Q: a) What is the change on surface area of a sphere as the radius changes from 1 inch to 3 inches? b)…

Q: The half-life of Carbon-13 is 5750 years. Samples taken at an excavation site show that a one…

Q: 11. Explain what Average Rate of Change and Instantaneous Rate of Change are. Use graphical diagrams…

Q: The sides of an equilateral triangle are increasing at the rate of 3 cm/min. Find the rate of the…

A: Given, The sides of an equilateral triangle are increasing at the rate of 3 cm/min.…

Q: What is the relationship between a function’s average and instantaneous rates of change? Give an…

A: For a function, the average value is found to be fb-fab-a where f lies in the interval a,b.…

Q: What kind of situation would be described by a positive rate of change for a pool context (volume of…

A: To write that what kind of situation is described by the positive rate of change for a pool.

Q: = average rate of change

Q: How can I find the average rate of change?

A: Given that:f(x)=2x2-x+1 ; x=0, x=3

Q: Does nausea appear to be a problematic adverse reaction? Since the rate of nausea appears to be…

Q: Determine the rate

A: a.)Let the radius of the balloon = rRate at which the radius of the balloon is decreasing = drdt =…

Q: One airplane is approaching an airport from the north at 128 km/hr. A second airplane approaches…

A: Let x be the distance of south bound plane and y be the distance of west bound plane from airport at…

Q: Explain : What is the average rate of change of a function?

A: Average rate of change: The average rate of change of a function is defined as the average rate at…

Q: The initial bacterium count in a culture is 2300. A biologist later makes a sample count of bacteria…

Q: Approximate using linearization and use a calculator to compute the percentage error: ln 1.07

A: ln 1.07

Q: Explain the difference between the positive, negative, and constant rate of change?

A: we need to explain the difference between the positive, negative, and constant rate of change.

Q: Example 42. A train travels first 300 kilometres at an average rate of 30 k.p.h. and further travels…

Q: Explain the difference between average velocity and instantaneous velocity.

A: Given: Average velocity and Instantaneous velocity. To find: Difference between both velocity.

Q: The percent of 10th grade students who have smoked frequently in the last 30 days has greatly…

A: Let x be the number of the student who smoked frequently smoked in 30 days

Q: What's the difference between average velocity and instantaneous velocity?

Q: Is the rate of change in cost constant with respect to the number of pencils bought? Explain.

A: Yes, the rate of change of cost is constant with the rate of change of pencil.

Q: The rates of increase in the population of a country during the last 3 decades are 10%, 20% and 30%.…

A: Given The data is as follows: Rate of increase in the pop. during last 3 decades are as follows:…

Q: 9) A hot air balloon rose from a height of 100 m to 400 m in 3 minutes. What was the balloon's rate…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Determine the average rate of change of the function

Q: The rate of change of the area enclosed between the circle and the square is square meters per…

Q: Find the rate Of Chaange the folloewing in Table de. X 1-2)-1 TO fex) F3 -1 3.

A: Given that table values, x -2 -1 0 1 f(x) -3 -1 1 3 Use the formula of the rate of change,…

Q: 4. The slope of a secant line represents the average rate of change.

A: Note- Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: What is the instantaneous rate of change?

A: Solution;- Definition of Instantaneous rate of change:-

Q: a) Determine the average rate of change in the size of the crowd for each half hour of the rally. b)…

A: Solution:

Q: Distinguish between AVERAGE and INSTANTANEOUS rate of change.

A: We want to distinguish the instantaneous rate of change and average rate of change

Q: Estimate the average rate of change from = 4 to a = 5. Enter your estimate as a decimal number (not…

A: Formula From the graph f(5) = 7 f(4) = 3.5

Q: Define the term instantaneous rates of change?

A: Given: Define the term instantaneous rates of change?

Q: What is the rate of the current in miles per hour?

Q: Explain the difference between the average rate of change and the instantaneous rate of change.…

Q: The table below shows the average diameter of a pupil in a person's eye as he or she grows older.…

A: Given data: The least age of the person is a=20 years. The average pupil diameter of the person at…

Q: What is the relationship between a function’s average and instan-taneous rates of change? Give an…

Q: Enrollment at my college is increasing at a rate of 42% per decade. What is the yearly percentage…

A: We know that 1 decade = 10 years.

Q: How to find the TIME in compound interest with the use of linear interpolation?

A: Let P be the fixed principal and R be the fixed rate of interest. Let t be the time taken for…

Q: Determine the average rate of change between (1, g(1)) and (2, g(2)). Show your work.

Q: Find the rate of change in the percent of individuals free of headache pain over the given time span…

A: It is clearly seen in the graph that, Percent of individuals free from headache pain after t1 = 0.5…

Q: What is the average rate of change of a function?

A: What is the average rate of change of a function?

Q: average rate of change

Q: 3. Radar guns measure the rate of distance change between the gun and the object it is measuring.…

Q: Last week's production at Morton Manufacturing was 1,600 units. This week the factory produced 1,913…

A: Given, Last week's production = 1600 units Current week's production = 1913 units

Question

What is the difference between the average rate of change and instantaneous rate of change?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Given

VIEW

Answer

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

Find the mean hourly cost when the cell phone described above is used for 240 minutes.
A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 3:40 p.m. At this time, he started pumping gas into the tank. At exactly 3:44, the tank was full and he noticed that he had pumped 10.7 gallons. What is the average rate of flow of the gasoline into the gas tank?
Estimate the age of a newly discovered fossil for which the ratio of carbon-14 to carbon-12 is R=1/1014.
Use the table of values you made in part 4 of the example to find the limiting value of the average rate of change in velocity.
The fox population in a certain region has an annualgrowth rate of 9 per year. In the year 2012, therewere 23,900 fox counted in the area. What is the foxpopulation predicted to be in the year 2020 ?
Does a linear, exponential, or logarithmic model best fit the data in Table 2? Find the model.
What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?
Researchers recorded that a certain bacteria population grew from 100 to 500 in 6 hours. At this rate of growth, how many bacteria will there be 24 hours from the start of the experiment?