If f is a continuous function, what is the limit as h rightarrow 0 of the average of f on the interval [x, x + h]?

Answers

Answer 1

For the continuous function, the limit h approaches 0 of the average value of f is written as:

[tex]\lim_{h \to \infty} (f(x +h))=f(x)[/tex]

Limits of Functions:

The function's limit can be found using the derivative of the function concept. If the function is continuous and we know the value of the function at some point, then the limit will also be the same value as that of the function's at that point.

For the continuous function, the limit h approaches 0 of the average value of f is written as:

[tex]\lim_{h \to \infty} (f(x +h))=f(x)[/tex]

Since, This is when the function is continuous.

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Related Questions


a. How are pieces 1 and 2 related? pieces 3 and explain how
the pieces are related

Answers

Answer:

sorry i don't really get this cause the way you explained it maybe in the comment section say it again and i might get it when you say it again.

The rectangle has an area of 128 square inches and a width of 8 inches. Find the perimeter of the rectangle.

Answers

The answer is 48 square inches as the perimeter.

The perimeter of the rectangle is 48 inches.

What is rectangular perimeter?

The whole distance that a rectangle's borders, or its sides, cover is known as its perimeter. Given that a rectangle has four sides, the perimeter of the rectangle will be equal to the total of its four sides.

Given:

The rectangle has an area of 128 square inches and a width of 8 inches.

That means, the length,

= area of the rectangle / the width of the rectangle

= 128/8

= 16 inches.

The perimeter of the rectangle,

= 2 (length + width)

= 2 (16 + 8)

= 48 inches.

Therefore, the perimeter is 48 inches.

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A farmer sells 6.7 kilograms of pears and apples at the farmer's market. 3/5 Of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?

Answers

Answer: She sold 2.68kg of apples in the market

Step-by-step explanation:

Weight of pears and apples= 6.7 kg

weight of pears = 3/5 x 6.7 kg= 4.02 kg

Weight  of apples = Total weight of the fruits -  weight of pears

= 6.70kg- 4.02kg =2.68 kg

There are 4 identical wooden blocks that are 20 inches long, 2 inches wide, and 1 inch thick. If you glue them together, what is the difference of the largest and smallest outer surface area you can get?

Answers

You get up to 5 your welcome i know its true

Jill brought 2 1/3 boxes of carrot muffins for a bake sale. Mike brought 5 3/4. boxes of apple muffins. What is the total number of boxes of muffins Jill and Mike brought to the bake sale? Enter your answer as a fraction in simplest form.

Answers

Answer:

8 1/6

Step-by-step explanation:

2 1/3= 2 4/12

5 3/4= 5 9/12

add those, and you get 8 2/12, or 8 1/6

Find the slope of the line y= -8/5x + 2

Answers

Step-by-step explanation:

Given

y = - 8 /5 x + 2

Comparing the given equation with y = mx + c

slope (m) = - 8/5

Hope it will help :)

Answer:

-8/5

Explanation:

The equation is written in slope-intercept form, aka y = mx + b, where m is the slope and b is the y-intercept.

In slope intercept, the slope is always the number that comes before x.

In the equation y = -8/5x + 2, that number is -8/5.

Hence, the answer is -8/5.

13 (m-2) =-4(11+m) +1

Answers

Hi this is the answer to your question
13m-26=-4(11+m)+1
13m-26=-44-4m+1
13m-26=-43-4m
13m+4m-26=-43
13m+4m=-43+26
17m=-17
M=-1 is your answer

why is it important to learn statistics?

how can you apply statistics in your everyday life?​

Answers

Answer:

Statistics is a mathematical technique and science that attempts to extract valid knowledge using empirical data of observation or experiment. The main object of research and study of Statistics is the collection, processing and interpretation of various data with the ultimate goal of drawing safe conclusions for making correct decisions. It is an important science whose applications have a wide field in administration, business, as well as in positive and behavioral or social sciences.

A stone falls from a train trestle. The stone's height in meters above the ground is modeled by the function h(t)=−4.9t2+155 where t is time in seconds. To the nearest tenth of a second, how long does it take the stone to hit the ground? State what strategy you will use to answer the question, and then find the answer.

Answers

Answer:

5.6s

Step-by-step explanation:

Given the height reached by the stone modeled by the equation

h(t)=−4.9t2+155 where t is time in seconds.

The stone hits the ground at h(t) = 0

Substitute

0 = -4.9t²+155

4.9t² = 155

t² = 155/4.9

t² = 31.63

t = ±√31.63

t = 5.62seconds

Hence it will take 5.6s to reach the ground(to the nearest tenth)

Alessandro wrote the quadratic equation -6=x2+4x-1 in standard form. What is the value of c in his new equation?

c=-6
c=-1
c=5
c=7

Answers

Given:

A quadratic equation is

[tex]-6=x^2+4x-1[/tex]

To find:

The standard form of the given equation and find the value of c.

Solution:

The standard form of a quadratic equation is

[tex]ax^2+bx+c=0[/tex]               ...(i)

We have,

[tex]-6=x^2+4x-1[/tex]

It can be rewritten as

[tex]0=x^2+4x-1+6[/tex]

[tex]0=x^2+4x+5[/tex]

[tex]x^2+4x+5=0[/tex]            ...(ii)

On comparing (i) and (ii), we get

[tex]c=5[/tex]

Therefore, the value of c is equal to 5 and the correct option is C.

Answer:

the answer is c

Step-by-step explanation:

Help please.................

Answers

Answer:

make a whole retangle then do the length times the width on both then add together

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

Multiply 11 by 3 which is 33

Multiply 2 by 3 which is 6

add 33 and 6 which is 39

Hope this helps

can you please solve 2/3x-1/5x=x-1

Answers

Answer:

=15/8

Step-by-step explanation:

The picture above tap and tell me yes or no in order thank you :)

Answers

Step-by-step explanation:

no,yes,no, d is probably yes I guess

Answer:

a. yes

b. no

c. yes

d. yes

have a nice day;)

please help me I will mark you brainiest

Answers

Answer:

It the first one

Step-by-step explanation:

PLEASE PLEASE HELP IM BEGGING

Answers

Density = mass / volume.

Book density = 2000 grams / cm^3

Apple volume = 125 mL

Football mass = 400g

Gold density = 20 grams / cm^3

Soup volume = 200 cm^3

Mike bought shares in a new corporation that manufacturers cell phone
cases. He bought the stock years ago for $5,100. He recently sold the
stock for $6,100. What was Mike's profit (capital gain) on his stock?

Answers

Answer:

1000

Step-by-step explanation:

6100-5100=1000 which is the profit

If triangle DEF and triangle MNO are two triangles such that DE = MN and EF = No, which of the following would be sufficient to prove the triangles are congruent?

A DE/MN = EF/NO
B DE=DF
C angle D = angle m
D angle E = angle N

Answers

Answer:

The answer is D

angle E=angle N

As N and E are the corresponding angles between those equal sides D. angle E = angle N is sufficient to prove that the triangles are congruent.

What is congruency?

Congruency is geometry that states similarities between two or more figures generally with their respective sides and angles.

We know we can prove that two triangles are congruent by sides and angles.

Given that DEF and MNO are two triangles and side DE = MN and side EF = NO, in which angles N and E lie between those two sides and therefore we can apply SAS( side angle side) congruency to prove that they are congruent.

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I need this please help me

Answers

i don't know I just need points sorry

please help i’m just trying to pass

Answers

Answer:

C- 2

Step-by-step explanation:

f(-2)=4x+10

= 4*(-2)+10

=-8+10

f(-2)=2

Geometry pls help me thanks

Answers

Answer:

13

Step-by-step explanation:

[tex]DE=.5*BC=.5*26=13[/tex]

Northlake high school has two lunch periods.

Answers

The answer should be A

Answer: A greater percentage of second-lunch students (39%) eat outside.

Step-by-step explanation: i just did it

Adam has x baseball cards Ben has twice as many as Adam Carlos has 8 more than Adam Write the expression that indicates how many cards that Carlos has.

Answers

Answer:

Step-by-step explanation:

Hello,

I am pretty sure all this would be is :

Let c = Carlos's baseball cards

c = x + 8

Since Ben in this problem is irrelevant to Carlos, we just are using Adams cards and adding 8 onto them to find Carlos's cards since he has 8 more.

Since :

"Carlos has 8 more than Adam Write"

"Adam has x baseball cards"

So:

c = x + 8

I hope this helps!

If you have any questions or concerns feel free to message me or comment!

Anyone, please help me pretty please

Answers

Answer:

The answer is D

Step-by-step explanation:

Answer:

D i think. if not im very srry

Step-by-step explanation:

If Jiraya had 16 cupcakes and naruto took away 5 cupcakes how many cupcakes does Jiraya have?​

Answers

Answer:

11

Step-by-step explanation: 16 - 5 = 11

Answer:

Jiraya has 11 cupcakes.

Step-by-step explanation:

lol hope this helps you and have a nice day :D

question 6 smart ppl i need you !!!!!!!!!!!!!!

Answers

Answer: The answer is 5/16

Brainlist plz

Step-by-step explanation:

Steve manages a skate park and he has been analyzing the attendance data. Steve finds that the number of visitors increases exponentially as the temperature increases, and this situation is represented by the function f(x) = 5x. Steve also finds a linear equation that models the number of people who leave the park early depending on the change in temperature, and it is represented by f(x) = −x + 6. The graph of the two functions is below. Find the solution to the two functions and explain what the solution represents.

Answers

Answer:Suppose that the equations are:

The number of people increases exponentially as the temperature increases, so we can write this as a simple exponential relation.

N(T) = a0*r^(T)

Also, the number of people that leaves the park as the temperature increases are:

M(T) = a*T + b

So the combination of these equations can say the number of people that are arriving to the park minus the number of people that are leaving, this would be:

N(T) - M(T) = total change in the park population as the temperature changes = C(T)

C(T) = a0*r^(T) - a*T - b

Step-by-step explanation:

I need help!! Please the first drop down are (area,diameter,radius) and the second drop down are (1/3,1/2,2,3) and the last drop down are (area,diameter,radius)

Answers

Answer:

The Area of circle is 1/2 times the radius times the circumference.

Hope this helps!!!

Please help me find the value of x

Answers

Answer:

x = 36 degrees

Step-by-step explanation:

We can use exterior angles theorem to find that 140 degrees is equal to x plus 104 degrees. We subtract 104 degrees on both sides and get that x is 36 degrees.

% of 10 = 2 write your answer as a decimal or whole number

Answers

Answer:

Whole Number: 20%

Decimal: 0.20

Step-by-step explanation:

Suppose your friend's parents invest $25,000 in an account paying 7% compounded annually. What will the balance be after 8 years?

Answers

Answer:

42954.65.

Step-by-step explanation:

Answer: uhhh sorry if it's wrong but i think its 14000  

Step-by-step explanation:

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