Question

what is the exact difference between mean value theorem and average value when it comes to integration?

Answer 1

The average value of a derivative is the mean value of its underlying function. So if you have \(f(x)\) and its derivative \(f'(x)\), the average value of \(f'(x)\) is the mean value of \(f(x)\). In essence, this means that \(f'(x)\) between two points \(a) and \(b\) must at some point equal its own average value between those two points.

Answer 2

The average value formula, 1/(b-a) * Integral f(x)dx from a to b, gives the average y-value of function f between a and b. The mean value theorem (MVT) says take any smooth curve. Select two points on that curve and connect them with a straight line. MVT guarantees that somewhere between the two points, there will be a tangent line that is parallel to the line connecting the two points.

Answer 3

thanks guys, i finally get it!

Answer 4

Actually MVT of integration says that on (a, b) there exist a c such that f(c) = 1/(b-a) * Integral f(x)dx, and the proof is a lot easier than the derivative one

Answer 5

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Answer 6

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Answer 7

When presented with the question u201cDoes Plant Food X have an effect on the production of tomatoes?u201d Develop a hypothesis to answer this question and

Answer 8

u00bfDu00f3nde __________ Manolo (mirar) la televisiu00f3n?

Answer 9

Which church leaders were immediately below cardinals in the Catholic Church hier

Answer 10

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Answer 11

When consumers swipe a card, either debit or credit, to make a transaction with a merchant, the merchant pays an interchange fee to the card-issuing bank.

Answer 12

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Answer 13

During REM, we experience paradoxical sleep. Which of the statements below best describes what is happening.

Answer 14

Work the following pricing problems for services rendered. (For all calculations use hundredths.

Answer 15

In at least 100 words, identify the most powerful aspects of Gates's "Mister Jefferson and the Trials of Phillis Wheatley.

Answer 16

In at least 100 words, identify the most powerful aspects of Gates's "Mister Jefferson and the Trials of Phillis Wheatley.

Answer 17

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Answer 18

What does an ecopsychologist study?
a.
the mental health of environmental scientists
b.

Answer 19

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Answer 20

Literally any thoughts on males in our current culture within America?

Answer 21

In order for the Supreme Court to interpret a law it must be a ____________ first.

Answer 22

_____________ is a non-elected official with no real power, however they usually choose and carry out a specific agenda while they hold their office.

Answer 23

Arrange the events in Emily Brontu00eb's Wuthering Heights in correct chronological order.

Answer 24

For the original question you pursued, explain how the "Five Steps For Coming to an Ethical Decision" can help shape your opinion.