1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Marysya12 [62]
11 months ago
6

Find the average value of the function ()=3 on the interval [−3,3] and determine a number in this interval for which () is equal

to the average value
Mathematics
1 answer:
shutvik [7]11 months ago
3 0

The average value of the function f(x) = 3x^2 is 3 on the inetrval [-3, 3].

According to the given question.

We have a function.

F(x) = 3x^2

Since, we know that " the average value of a function is found by taking the integral of the function over the interval and dividing by the length of the interval".

Here, the given interval is [-3, 3]

Therefore, the length of the interval = 3 - (-3) = 3 + 3 = 6

Now, the average value of the given function f(x)

=\frac{1}{6} \int\limits^3_{-3} {3x^{2} } \, dx

= \frac{1}{6} [\frac{x^{3} }{3} ]_{3} ^{-3}

= \frac{1}{6} \frac{(3)^{3} -(-3)^{3} }{3}

= \frac{1}{18} (27 + 27)

= 2(27)/18

= 27/9

= 3

Hence, the average value of the function f(x) = 3x^2 is 3 on the inetrval [-3, 3].

Find out more information about average value of a function here:

brainly.com/question/22155666

#SPJ4

You might be interested in
3. Bryce mows lawns to make some extra money. He charges $15 per lawn. Bryce will
anyanavicka [17]

The domain and range of a function is the set of input and output values, the function can take.

  • <em>The domain is [0,6]</em>
  • <em>The range is [0,90]</em>

<em />

From the question, we have:

\mathbf{Rate = \$15}

<u>The domain</u>

He cannot mow more than 6 yards a day.

This means that the domain is: 0 to 6

<em>This is properly represented as: [0,6]</em>

<u></u>

<u>The range</u>

When he mows 0 yards, his earnings is:

\mathbf{Earnings = 0 \times \$15 = \$ 0}

When he mows 6 yards, his earnings is:

\mathbf{Earnings = 6 \times \$15 = \$ 90}

This means that the range is: 0 to 90

<em>This is properly represented as: [0,90]</em>

Read more about domain and range at:

brainly.com/question/4767962

5 0
2 years ago
Find the value of the variable (n)
alisha [4.7K]

Answer:

D. 65

Step-by-step explanation:

180-50=130

130 divided by 2 =65

hope this helps:)

5 0
3 years ago
Read 2 more answers
He volume of a rectangular prism with sides 3 ft, 4 ft, and h ft must be at least 36 cubic ft. Write and solve an inequality tha
levacccp [35]

Answer:sorry dude

Step-by-step explanation:I got nothing

5 0
3 years ago
Julia has to mow two yards she will need 13/16 gallon of gas to mow the first yard and 2/5 gallon to mow the second yard she has
Mazyrski [523]

Answer:

Julia has  enough gas to mow the two yards.

Step-by-step explanation:

Given:

Julia needs \frac{13}{16} gallon of gas to mow first yard.

Julia needs \frac{2}{5} gallon of gas to mow second yard.

Julia has a total of 1\frac{1}{2} gallon of gas in in her can.

To find whether she has enough to mow both yards.

Solution:

Total gallons of gas needed to mow two yards can be found out by :

⇒ \frac{13}{16}+\frac{2}{5}

Taking LCD =80.

⇒ \frac{13\times 5}{16\times 5}+\frac{2\times 16}{5\times 16}

⇒ \frac{65}{80}+\frac{32}{80}

Adding the numerators.

⇒ \frac{97}{80}

⇒ 1.2125 gallons

Julia has 1\frac{1}{2} gallon = 1.5 gallons of gas in in her can.

Since  1.5>1.21 , thus we can say that Julia has enough gas to mow the two yards.

8 0
2 years ago
You will be marked branliest if you show all work :)<br><br> Find the area of it. A=LW
stealth61 [152]

Answer:

use your head

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • Ms. Bell's mathematics class consists of 12 sophomores, 8 juniors, and 13 seniors.
    6·1 answer
  • What what should you use to measure a desk top
    6·1 answer
  • A rectangular photograph is nine centimeters wide and fourteen centimeters long. The photograph is enlarged by increasing the le
    15·1 answer
  • PLEASE HELP I HAVE 15 MINUTES LEFT ON THIS TEST, i have the answers for the other question btw
    12·2 answers
  • Factorise x^2 - 8/X pls help
    13·1 answer
  • There are 1250 students in a school. 58% of them are female. How many are male?
    6·2 answers
  • PLEASE HELP!! this is ratios
    11·2 answers
  • The diagram shows a square ABCD
    6·1 answer
  • HELP
    7·1 answer
  • 32) 48,504 ÷ 16
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!