Can the instantaneous rate of change be different than the average rate of change in the same function?

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

A: The difference between the average rate of change and instantaneous rate of change

Q: When exposed to ethylene gas, green bananas will ripen at an accelerated rate. The number of days…

A: Exposure time (Minutes) Ripening time (days) 10 4.3 15 3.2 20 2.7 25 2.1 30 1.3

Q: The graph shows the remaining life expectancy, E, in years for females of age x What is the average…

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Q: Find the rate of change of 1/x with respect to x when x=2

A: f(x)=1xrate of change of 1/x with respect to x isdf(x)dxdf(x)dx=-1x2

Q: What is the formula that represents the average rate of change in a linear function?

A: The average rate of change formula for a function f(x) between [a, b] is: f(b)-f(a)b-a

Q: Suppose that a weight is attached to a hanging spring. When the weight is pulled down and released,…

A: Given ,  Suppose that a weight is attached to a hanging spring When the weight is pulled down and…

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

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Q: Compare Rates of Change and Tangent Lines?

A: Rates of change: The rates of changes of function f(x) on an interval [a, b] is the slope of the…

Q: stone dropped into a still pond ta constant rate of 2 meters per

A: Given that a stone dropped into a still pond sends out a circular ripple whose radius increases at a…

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: The instantaneous rate of change can never be zero. True False

A: The given statement, The instantaneous rate if change can never be zero, is False.

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

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

Q: i) What does it mean to say that the fixed effect varies cross sectionally by not over time?

A: Answer:----.                       Date:----28/09/2021

Q: A triangle has an area that is increasing at a rate of 555 square feet per minute with the height…

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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: A researcher tells you that there are non-linearities in the relationship between wages and years of…

A: According to the provided information, it is mentioned by the researcher that there are…

Q: estimate the instantaneous rate of change at the point indicated

A: To find the instantaneous rate of change we will find y'(x) We use the power rule

Q: What is the average rate of change of the height of the plant between Week 4 and Week 12, in inches…

A: Given:  Week Height (in inches) 4 24 6 27 8 30 12 48

Q: How to find the rate of change of y=x^2-3 over the interval (-2,0)

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Q: An art piece is predicted to increase in value by 50% in the first year and 25% each year from the…

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Q: The humidity is currently 55% and falling at a rate of 4 percentage points per hour. (a) Estimate…

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Q: the instantaneous weight growth rate at week 16 greater or smaller or the same than the average rate…

A: Given query is to provide information regarding instantaneous rate of change and average rate of…

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

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Q: (a) Determine the net change between the indicated points on the graph.   (b) Determine the average…

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Q: What is the rate of change of distance between the top of the ladder and the ground?

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Q: Determine the average rate of change of the function

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Q: 6. How is the instantaneous rate of change found?

A: Answer and explanation is given below..

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

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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: How does one find where functions f and g have the same average rate of change when given a graph…

A: According to the given graph the function The function f is equation of straight line passing…

Q: What is the instantaneous rate of change?

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

Q: Suppose that a function F has a positive average rate of change from 1 to 4. Is it correct to assume…

A: Given, F has a positive average rate of change from 1 to 4

Q: The rate of change of the temperature of a building is 7° /hr when the temperature is 12°. What is…

A: The rate of change of temperature per hour = 7o   The rate of change of temperature in 30 min or…

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: What is the rate of change of the function whose graph is a line passing through  (3, 5) and (−1,…

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Q: Define the term instantaneous rates of change?

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

Q: Describe the Related Rates Equations?

A: Related rates problems involve two (or more) variables that change at the same time, possibly at…

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

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Q: How may I get the average rate of change for this problem?

A: The average rate of change of the function fx between the two points x=a and x=b is given by the…

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

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Q: Use a numerical example to explain the difference between the rate of change and the level of change…

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Q: ladder 5 meters long is leaning against a vertical wall. Due to the smooth floor, the foot of the…

A: Given query is to find the rate of change of y with respect to x.

Q: The average rate of change of a function over an interval is the same as the instantaneous rate of…

A: Given that the average rate of change of  a function over an interval is the same as the…

Q: Estimate the average rate of change from  x = 2  to  x = 5.

A: We are given a graph of a function and we are asked to find average rate of change from x=2 to x=5.…

Q: Explain how the instantaneous rate of change of a function at a point is related to its average…

A: Instantaneous rate of change: The instantaneous rate of change is the change in the rate at a…

Q: Limits allow us to move from the average rate of change over an interval to the (instantaneous) rate…

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Q: Speed is the rate of change of velocity over time. True False

A: The given statement is, "Speed is rate of change of velocity over time"

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

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