Question: Explain the difference between the average rate of change of y as x changes from a to b, and the instantaneous rate of change of

Explain the difference between the average rate of change of y as x changes from a to b, and the instantaneous rate of change of y at x = a.

Step by Step Solution

★★★★★

3.37 Rating (163 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

The average rate of change of y as x changes from a to b is a measure of the change in y over a spec... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Calculus With Applications Questions!

Q:

Explain the difference between the average rate of change and the instantaneous rate of change of a function f.

Q:

What is the difference between the average rate of change of a function on the interval [x, x + h] and the derivative of the function at x?

Q:

Explain the difference between the change in internal energy and the change in enthalpy accompanying a chemical or physical process.

Q:

Explain the difference between the average rate of change of y as x changes from a to b, and the instantaneous rate of change of y at x = a Choose the correct answer below O A. f(b) + f(a) p The...

Q:

Please help me Suppose that the total profit in hundreds of dollars from selling x items is given by P(x) =2x- -6x + 10. Complete parts a through d below. a. Find the average rate of change of profit...

Q:

Suppose that the total prot in hundreds of dollars from selling x items is given by Pix) = 5x2 - 7x + 9. Complete parts a through d below. a. Find the average rate of change of prot as x changes from...

Q:

Please find (c.) i think it has something to do with x +h Bus Econ 3.3.25 Suppose that the total prot in hundreds of dollars from selling x items is given by P(x) = 4x2 7x + 6. Complete parts a...

Q:

Utility is a type of function that occurs in economics. When a consumer receives x units of a certain product, a certain amount of pleasure, or utility U, is derived. The graph represents a typical...

Q:

a) Find the simplified form of the difference quotient for the function f(x) = 2x-2x+5. b) Complete the following table. h f(x+ h) - f(x) h 3 2 3 1 3 0.1 3 0.01 f(x + h) - f(x) a) The difference...

Q:

Precalculus home Name_ 1. If f(x) = x +4x+1, evaluate the difference quotient J (x+h)-f(x) Show your work, h and simplify your answer. 11. If f ( x ) = x +4x+1, (a) f (-1 ) = _ f ( 2 ) = (b) Find the...

Q:

An operations manager who supervises an assembly line has been experiencing problems with the sequencing of jobs. The problem is that bottlenecks are occurring because of the inconsistency of...

Q:

Thompson Corporation is planning to issue $ 100,000, five-year, 6 percent bonds. Interest is payable semi-annually each June 30 and December 31. All of the bonds will be sold on July 1, 2014; they...

Q:

Please use excel and show me the formulas used. I have attached example templates from the textbook mentioned in the question. Magneto came up with a teleportation system to transport all the...

Q:

6. In the discussion section, look for the researcher's interpretation of the correla- tion. To what degree are the statistically significant results practical or relevant to the issue being studied?...

Q:

If the statement is in exponential form, write it in an equivalent logarithmic form. If the statement is in logarithmic form, write it in exponential form. -3 27 3 00

Q:

The functions in Exercises 912 form two pairs of inverse functions. Determine which functions are inverses of each other. Exercises 912 y = log 3 (x + 2) y = 5 - 2 x y = log 2 (5 - x) y = 3 x - 2 A....

Q:

Determine whether each function graphed or defined is one-to-one. y

Q:

19.94) Gateway Communications is considering a project with an initial fixed asset cost of $2.168 million which will be depreciated straight-line to a zero book value over the 10-year life of the...

Q:

For each of the following (x, y, z)-values, find the amount of slack in the inequality below. 2x+y+3z 23 For production values (2, 1, 1), the slack is For production values (3, 5, 2), the slack is...

Q:

What is the maturity value of a $14,565.00 loan borrowed at 3.5% compounded annually for 5 years and 8 months? DO NOT ROUND INTERMEDIATE RESULTS. Report N accurate to at least 6 decimal places....