The graph of the continuous function f consists of three line segments, as shown in the figure above. What is the average value of f on the interval [−1,6] ?

Answers

Answer 1

Answer:

The average value of the function on the interval [-1, 6] is [tex]2.\overline{1428571}[/tex]

Explanation:

The given

The average of a function is the height, 'h', of a rectangle with a width equivalent to the given interval and an area equivalent to the area of the function

The area under the graph of the function between the interval [-1, 6] consist of two right triangles and a rectangle and it is therefore given as follows;

The area. A = 1/2 × (0 - (-1)) × 2 + 2 × (6 - 0) + 1/2 × (4 - 2) × (6 - 4) = 15

The width of the rectangle, w = (6 - (-1)) = 7

w = 7

The area of the rectangle = h × w = A = 15

∴ The average value of the function, f = h = A/w = 15/7 = [tex]2.\overline{1428571}[/tex]

Related Questions

Women in areas with a high GEM score likely have a high percentage of women working in which sector of the economy?

Primary
Secondary
Tertiary
Quaternary
Quinary

Answers

Answer:

Tertiary

Explanation:

I took the test

Answer:

Tertiary.

Explanation:

I also took the test and got it right.

6.) Calculate the value of “x":
(2x-5)
105
a. X = 55
b. x = 40
c. x = 50 d. x = 45

Answers

A bc 105+5=110
110/2=55

A. 55

-5 move the constant to the right hand side and change its sign
add the numbers 105+5
divide both sides of the equation by 2

People ages three to 12 are considered to be in the stage of development.

Answers

Answer:

childhood

Explanation:

EDge2021

People between the ages of three (3) to twelve (12) years are considered to be in the childhood stage of development.

Erikson's psychosocial stages of development.

Erik Erikson stated in his work on psychosocial development that human personality develops in a pre-determined order known as the eight (8) stages of psychosocial development, which is from childhood (infancy) to adulthood.

The stages of development.

Basically, there are three stages of development in humans and these include the following:

Early childhood: birth to eight (8) years.Middle childhood: eight (8) to twelve (12) years.Adulthood: twelve (12) to eighteen (18) years.

In conclusion, we can logically deduce that people between the ages of three (3) to twelve (12) are considered to be in the childhood stage of development.

Read more on psychosocial development here: https://brainly.com/question/11954054

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According to the article "Self-Concept," those who do not have self-worth also tend to have high self-esteem.
Please select the best answer from the choices provided true or false

Answers

Answer:

Explanation:

The statement "According to the article "Self-Concept," those who do not have self-worth also tend to have high self-esteem" is false.

What is the self-concept?

The person's self-perception includes personal characteristics and ideas about who and what they are as a person. A similar definition can be found in Rosenberg's book on the subject from 1979, which states that self-concept is the sum of a person's ideas and feelings with regard to himself as an object.

We can evaluate the kinds of views, beliefs, and identities that other people hold by seeing how they interact with us. From there, we could begin to develop our own unique points of view, identities, and beliefs.

Over an extended period of time, we would create something special for ourselves as individuals that would serve as a marker for the growth of our self idea.

Therefore, the statement is false.

To learn more about self-concept, refer to the link:

https://brainly.com/question/11073052

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Which one would be the best answer?

Answers

Answer:

I believe its c

Explanation:

both of the checks correspond correctly

It’s c
Hope it helps

Why do people commit sui-cide? Can suic- ide be prevented? ( ESSAY-RESPONSE QUESTION)

Answers

People who kill themselves have often told someone that they do not feel life is worth living or that they have no future. Some may have actually said they want to die.It's possible that someone might talk about sui-cide as a way of getting attention, in the sense of calling out for help. It’s important to always take someone seriously if they talk about feeling suic-idal. Helping them get the support they need could save their life.

The majority of people who feel suicidal do not actually want to die - they do not want to live the life they have.

Answer:

People commit because even if it might get better, they are not strong enough to hang around until then, with all that they are dealing with.

Explanation:

¿Cómo podemos ser buenos soldados de Cristo, en este tiempo actual (pandemia) teniendo en cuenta, que estamos llamados a seguir el ejemplo que nos dio Jesús, que fue capaz de dar su vida por salvar la nuestra?.

Answers

Can you translate this question?

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