Mathematics

5 August, 07:39

To illustrate the mean value theorem with a specific function, let's consider f (x) = x3 - x, a = 0, b = 2. since f is a polynomial, it is continuous and differentiable for all x, so it is certainly continuous on [0, 2] and differentiable on (0, 2). therefore, by the mean value theorem, there is a number c in (0, 2) such that

+4

Answers (1)

Know the Answer?

Not Sure About the Answer?

Find an answer to your question 👍 “To illustrate the mean value theorem with a specific function, let's consider f (x) = x3 - x, a = 0, b = 2. since f is a polynomial, it is ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.

Search for Other Answers

You Might be Interested in

What is the circumference of a circle whose diameter is 4.8 inches

Using complete sentences, explain how to evaluate (3-7) (x^ (2) when x=3 and y=1/2 Restate the algebraic expression in words. Rewrite the expression using the values for the variable.

The complete set of Hannah Montana DVDs costs $149.99. The first 1,000 orders will receive a discount of 40%. How much is the discount? How much is the sale price?

How do you make fractions into decimals

Which of the following equations is equivalent to y = 2x + 1? A. 2x + y = 1 B. x + 2y = 1 C. - 2x + y = 1 D. - 2x - y = - 1

New Questions in Mathematics

The table below shows the relationship between the number of hours Nina worked and the number of hours Kathy worked.

Determine all of the roots (or zeros) 4x^3-4x^2-11x+6=0 if 2 is known to be one of the roots

In a small town there are two main sections called the Hill section and the Lake section. The town has a population of 4298. The number of people who live in the Hill section is 188 more than twice the number of people who live in the Lake section.

Two accounts each begin with a deposit of $5000. Both accounts have rates of 5.7 %, but one account compounds interest once a year while the other account compounds interest continuously.

Blue whales eat an average of 5,000 pounds of fish daily, with a standard deviation of 850 pounds. Approximately what percentage of blue whales eat more than 7,550 pounds of fish? 15.87% 5% 0.3% 0.15%