The average value of a function f on [a, b]
always lies between f(a) and f(b). Justify your answer.

Answers

Answer 1

Answer:

False

Step-by-step explanation:

A parabola is a good example of proving this false, but more specifically is the graph of sin x on the interval [0, pi]. sin 0 = sin pi = 0, but the average value of sin x on this interval is greater than 0.

Answer 2

The average value of a function f on [a, b] always lies between f(a) and f(b) is false.

What is a function?

A relation is a function if it has only One y-value for each x-value.

The average value of a function over an interval [a,b] is the total area over the length of the interval

A parabola is a good example of proving this false, but more specifically is the graph of sin x on the interval [0, pi].

sin 0 = sin pi = 0, but the average value of sin x on this interval is greater than 0.

So the average value of a function f on [a, b] always lies between f(a) and f(b) is false.

Hence,  the average value of a function f on [a, b] always lies between f(a) and f(b) is false.

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Related Questions

Micaela spent $32 on writing utensils pens cost four dollars and pencils cost two dollars if she bought a total of 10 and how many of each kind did she buy

Answers

Answer:

6 pens and 4 pencils

Step-by-step explanation:

6 x 4 = 24

4 x 2 = 8

24 + 8 = 32

please send help, and explain if you can <333

Answers

Answer:

it would be B

Step-by-step explanation:

d=(0-(-5)^2+(-2-(-3)^2

d=(5)^2+(1)^2

d=25+1

d=26

Drag the tiles to the correct boxes to complete the pairs.
Match each radius or diameter of a circle with its approximate circumference.
Tiles

Answers

Answer:

36

3

5

12

Step-by-step explanation:

The circumfrence of a circle is as follows

2πr

For this question π=3.14

So we have

113.04=2πr

solve for r

r= 18

which means that diameter is 36

Just do the same thing with the other questions

18.84=2πr

r=3

31.4=2πr

r=5

37.68=2πr

r=6 which means that the diamater is 12

In a March 2016 survey by Gallup of 1019 US
adults, 65% believe that global warming is due
more to human activity than natural changes in
the environment.
Assume the conditions for inference have been
met. Create a 95% confidence interval for the true proportion of US adults that believe global warming is due more to human activity than natural changes.

Answers

Answer:

Americans are taking global warming more seriously than at any time in the past eight years, according to several measures in Gallup's annual environment poll. Most emblematic is the rise in their stated concern about the issue. Sixty-four percent of U.S. adults say they are worried a "great deal" or "fair amount" about global warming, up from 55% at this time last year and the highest reading since 2008.

Mirroring this, the March 2-6 survey -- conducted at the close of what has reportedly been the warmest winter on record in the U.S. -- documents a slight increase in the percentage of Americans who believe the effects of global warming have already begun. Nearly six in 10 (59%) today say the effects have already begun, up from 55% in March 2015. Another 31%, up from 28% in 2015, believe the effects are not currently manifest but will be at some point in the future. That leaves only 10% saying the effects will never happen, down from 16% last year and the lowest since 2007.

30pts
I need help ASAP pls.❤️
A rectangular garden as an area of 10n2
17n + 7
The width of the garden is n - 1 .
Nhat is the length?

Answers

Step-by-step explanation:

1maybe you neeeda put it in calculator cause the problem easy just got to try

PLEASE HELP I've BEEN TRYING TO GET HELP BUT I CAN'T "Skylar plans a party at a restauraunt. The cost is $9.75 per person plus a $49.99 fee to reserve the table. The total charge for the party us $137.74. How Many people will attend Skylars part?" PLEASE HELP ME PLEASE

Answers

Answer:

9

Step-by-step explanation:

49.99 + 9.75x = 137.74

solve for x.

x = 9

Please can someone help me with these? I'll give brainliest

Answers

Answer:

first one is right then

45 9/10

31 3/5

99 9/10

3 47/50

6 1/4

12 27/50

10 1/10

Step-by-step explanation:

If the expression

(3v+7) - (8v+6)

needs to be equivalent to

(-5+n)

What is the value of n?

Answers

Answer:

n = 1

Step-by-step explanation:

So the first step is to simplify the top equation:

(3v + 7) - (8v + 6)

distribute the negative sign to get rid of the second parentheses:

3v + 7 - 8v - 6

now, combine like terms

-5v + 1

Since it says it needs to be equivalent to (-5v + n), n is 1

1. A jar contains 10 marbles, 6 marbles are red, and 4
marbles are blue. If 2 marbles are chosen one at a time
with replacement, what is the probability that the first
marble will be blue and the second marble will be red?
A 1/10
B.6/100
D. 1/25
Independent or Dependent?
Final Answer:

Answers

Answer:

1/20

Step-by-step explanation:

trust me............or not...jk its either 1/20 or 1/2 NO its 1/20

The triangles below are similar.

Which statement about the triangles is true?

Answers

In pretty sure it is F

What is the answer plz help

Answers

The answer is 339.12. You have to do 3.14 times the radius squared. The radius is 6 and 6 squares is 36 then h/3 also 9/3 so 3.14*36*3

The equation y = 40x models the number of words that George can type in x
minutes. The table below shows the number of words that Patricia can type in
different amounts of time.
A) Patricia can type 35 more words per minute than George.
Minutes
Words
5
375
525
825
B George can type 35 more words per minute than Patricia.
7
11
Patricia can type 45 more words per minute than George.
George can type 45 more words per minute than Patricia.

Answers

Answer: A Patricia can type 35 more words per minute than George

Step-by-step explanation:

Right answer gets brainlist

Answers

90. you can just do 5x12 which is 60. 60x3 is 180 then 180 divided by 2 because a triangular prism is just half of a cube

Answer:

153

Step-by-step explanation:

Calculate the area of each side first, then add it all up

Width x height = area of square/rectangle

1/2 x width x height = area of a traingle

When one power is exponentiated by
an exponent, what is done with the
exponents?

Answers

I’m pretty sure they are multiplied, if I understand your wording

What is 3 little 2
Work out

Answers

if you want more ^^^^^^^

Answer:

1

Step-by-step explanation:

3-2

1

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

#

find the volume of the conical paper cup​

Answers

The answer is 24 cm ! you have to multiply the length and the width which is 8 and 3 = 24

Answer:

It is Drum roll please it iss 24 n cm3 :)

Step-by-step explanation:

I got a 100 on the test ;)

Will give points :) :) .​

Answers

EBC = 23°

180 - (46+111) = 23

Answer:

It 23:)

Step-by-step explanation:

good luck

(3xy²)³ × (- 4x²y) =

Answers

Answer:

− 108 x 5 y 7

Step-by-step explanation:

My computer wont allow it but the 5 and the 7 are exponents

Answer:

[tex]-108x^{5}y^{7}[/tex]

Step-by-step explanation:

Simplify using the laws of exponents (there are more rules than listed, these given rules are just the ones that come into play here);

- when there is a term in parenthesis with an exponent outside, the term's exponent gets multiplied by the exponent outside

- when multiplying two exponents, one can only combine terms with the same base, and one must add the exponents

[tex](3xy^{2})^{3}*(-4x^{3}y)\\\\=(3^{3}*x^{3}*y^{2{^{3}}}) *(-4x^{2}y)\\\\=(27x^{3}y^{6})(-4x^{2}y)\\\\=-108x^{5}y^{7}[/tex]

what fraction is equivalent to 3/9​

Answers

Answer:

There are infinity equivalent fractions to 3/9

Step-by-step explanation:

1 /3, 2 /6, 3/ 9, 4 /12, 5/ 15, 6 /18, 7/ 21, 8/ 24, 9 /27, 10/ 30, 11/ 33, 12/ 36, 13/ 39, 14 /42, 15 /45..........

Pls help I need an answer to this question

Answers

Answer:

7/12

Step-by-step explanation:

I gave all of the fractions a common denominator:

1/6= 2/12

5/12= 5/12

1/4= 3/12

1/6= 2/12

Then, I added the 2/12 (from 0-1 hours) and 5/12 (from 1 1/2-2 hours). THis will give the complete range of 0-2 hours.

Hope this helps!

HELP ME PLEASE OMG! WHY WON'T ANYONE HELP ME
Identify which of the following has the smaller slope. What is the difference of the slopes?

Answers

The answer is -2, 6

Answer:

put the points on the paper and then figure out how far apart they are

A certain model car has a keypad with 5 numbers on the door. To open the door, 5 numbers must be entered in the correct
order and no number can be used more than once. What is the probability that someone could guess the correct code?
OA. Ito
OB.
OC.
OD.

Answers

Answer:  A. [tex]\dfrac{1}{120}[/tex]

Step-by-step explanation:

Total digits on keypad = 5

According to permutation,

If repetition of digits is not allowed then the number of 5-digits passwords can be formed = 5!

= 5 x 4 x 3 x 2 x 1         [n!=n x (n-1) x (n-2)x ... x 1]

=120

The probability that someone guesses the correct code = [tex]\dfrac{\text{Number of correct codes}}{\text{Total possible codes}}[/tex]

[tex]=\dfrac{1}{120}[/tex]

Hence, the correct option is A.

A recipe for sparkling grape jucie calle for 1 1/2 quarts of sparkling water and 3/4 quart of grape jucie. How much sparkling water would you need to mix with 9 quarts of grape jucie?

Answers

Answer: 18 quarts of sparkling water

Step-by-step explanation:

From the question, we are informed that a recipe for sparkling grape jucie calle for 1 1/2 quarts of sparkling water and 3/4 quart of grape jucie.

When there's an increase in the quarts of grape juice to 9, it simply means that the former grape juice has been multiplied 12 times (9 ÷ 3/4 = 9 × 4/3 = 12).

Therefore, we would also multiplybl the sparkling water given by 12 to get the new quantity needed. This will be:

= 1 1/2 × 12

= 3/2 × 12

= 18 quarts of sparkling water

Which of the following points are more than 5 vertical units away from the point (0,-2) ? Choose all that
apply.
(6,-2)
(-8,-2)
(0-8)
(0,4)

Name the shape that will result from connecting the following points: (-4,1), 44,-4), (0,3), and
(0,-6).
O square
O rectangle
O trapezoid
O quadrilateral

Answers

the 1st question it’s (0,4) and (0,-8). The second is a quadrilateral

The estimated distance is 60 miles, but the actual distance is 75 miles. Find the percent error.

Answers

Answer:

20

Step-by-step explanation:

75-60=15

15÷75=.20

20 per cent error

How to find the area of a parallelogram with 3 numbers?

Answers

the area of a parallelogram is the base x the hight

14.8 square feet is the area of the given parallelogram.

What is Area?

The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.

The area of a parallelogram is given by the formula:

Area = base x height

where the base is the distance between two parallel sides of the parallelogram.

In this case, the height is given as 2 feet, but we need to find the base.

Since the parallelogram has two pairs of parallel sides, we can use the width of 7.4 feet as the base.

Therefore, the area of the parallelogram can be calculated as:

Area = base x height = 7.4 ft x 2 ft = 14.8 square feet

So, the area of the parallelogram is 14.8 square feet.

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Complete question:

PLEASE HELP EASY 6TH GRADE MATH (pic is the possible answers) select the equation that represents the problem. let x represent the unknown. ms harris divided the 32 students in her class into groups. there are 8 students in each group. how many groups are there?

Answers

Answer:

a

Step-by-step explanation:

Answer:  A  

Step-by-step explanation: this is too easy  

HELP PELASE ASAPppppp

Answers

I not sure but maybe is the first choice,the first answer I mean

An angle measures 160° less than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

The two angles are 10 degrees and 170 degrees.

Step-by-step explanation:

Supplementary angles add up to 180 degrees.

Let the angle be called "x", and the supplementary angle be called "180-x"

Converting words to math: x-160=180-x

Add x to both sides: 2x-160=180

Simplify: 2x=20

Divide by 2: x=10

Let me know if this helps!

Jeannie got a new pair of eye glasses. She was able to pay $15 at the
time she received her glasses. She will pay $12 each month on the
balance. The original cost of the glasses was $87.
b. How many months will it take Jeannie to pay for her glasses?

Answers

Answer:

6 months

Step-by-step explanation:

12x = 87

12x ÷ 12 = x

87 - 15 = 72

72 ÷ 12 = 6

x = 6 months

CHECK:

12 x 6 = 72 + 15 = 87

87 = 87

Answer:

6 months

Step-by-step explanation:

The equation would be: 15 + 12m = 87

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