Find the average rate of change of the function over the given interval.

f(t) = 2t^2 − 1, [5, 5.1]

Compare this average rate of change with the instantaneous rates of change at the endpoints of the interval.

Answers

Answer 1

Answer:

Average rate of change = 20.2

Rate of change at the left endpoint :   f' (5) = 4t = 20

Rate of change at the right  endpoint : f' (5.1) = 4*5.1 = 20.4

Step-by-step explanation:

The average rate of change of the function

F(t) = 2t^2 - 1 ,  [ 5,5.1 ]

solution

[tex]\frac{f(5.1)-f(5)}{5.1 - 5}[/tex] = [tex]\frac{2*(5.1)^2-1-(2*5^2-1)}{0.1}[/tex]   = [ 2 ( 26.01 - 25 ) / 0.1 ]

= 2.02 / 0.1 = 20.2

Rate of change at the left endpoint :   f' (5) = 4t = 20

Rate of change at the right  endpoint : f' (5.1) = 4*5.1 = 20.4


Related Questions

Nyoko is having a pizza party. 2 large pizzas serve 9 people. How many large pizzas should she order to serve 36 people at the party? *

Answers

Answer:

8 pizzas are needed to feed 36 people.

Step-by-step explanation:

If 2 large pizzas serve 9 people, if you divide the number your trying to find by your like term (people) (36/9) you will get 4. You then multiply your other value (2) by your answer to the last step (4) (2*4)  you should get 8.

Which situation is best represented by the following
equation?
2x + x = 21

Answers

Answer:

If your solving for x then its x=3 because you combine liked terms then divide both sides by 3.

「13 3 4
0 -3-5
12 5 1
1 -2 61
7 19
-10 12
127]

Answers

Answer:

− 31769

I'm sorry if this is not right I don't have enough info but i tried so :)

Step-by-step explanation:

If the fraction 408/x-10 is equivalent to -24 find the value of x

Answers

Answer:

Step-by-step explanation: yes it is that is how you do it

are the triangles below acute obtuse or right? ( there’s more but it won’t let me put them on so I’m gonna make multiple questions)

Answers

Answer:

this is obtuse

Step-by-step explanation:

ONE OF THEM IS GREATER THAN 90 DEGREES :)

8. At the fabric store, Marisela spends $9.00
on 1 1/8yards of fabric. How much does one
yard of fabric cost?​

Answers

Answer:

6.55

Step-by-step explanation:

We know that 11/8 yards of fabric cost 9$

We need to first find what 1/8 yard of fabric costs

So you do 9/11 which gives the amount of 1/8 which is 0.818181812 and multiply that by 8 to find what the cost of one yard equals

In ACDE, the measure of ZE=90°, the measure of ZD=38°, and DE = 12 feet. Find
the length of CD to the nearest tenth of a foot.

Answers

Answer:

55

Step-by-step explanation:

Can someone please help to explain this to me? I have been trying to work at it and have spent time watching multiple videos trying to figure it out, but am unable to figure it out. Any help would be much appreciated! Thank you.

Answers

Answer:

first 1 I think

Step-by-step explanation:

De qué manera relacionas lo que escuchas o lees en tu vida​

Answers

Answer:

La forma en que relaciono lo que escucho o leo en mi vida es a través de la interpretación de la información, es decir, todo aquello que leo o escucho es procesado, evaluado e interpretado conforme a mi experiencia, vivencias, estudios e ideología, lo que me permite obtener una conclusión de la información que percibo.

Así, no considero todo lo que leo y escucho como hechos comprobados, sino que lo someto a un análisis exhaustivo y completo respecto de su validez y sus implicancias respecto de mi persona.

Compare the ratios 3:8 and 1/2.


1. Write ratios as fractions.


3/8 and 1/2


2. Find a common denominator.


2 is a factor of 8, so the common

denominator is 8.


Which comparison correctly compares the ratios 3:8 and 1/2?

Answers

Answer:

Answer is A

Step-by-step explanation:

I took the test

Answer:

its c

Step-by-step explanation:

i took the test

Im finding missng angles for a parallel lines worksheet and it gave me the first one but i cant find the rest the first one was 65 degrees

Answers

Answer:

...

Step-by-step explanation:

given f(x) = 17 - x squared what is the average rate of change in f(x) over the interval [1,5]

Answers

give me a minute

let me write this down

-3(x-14)+9x=6x+42 what solution does this

Answers

Answer:

All real numbers

What is the equation of the line that passes through the point (8,-8) and has a slope of -1

Answers

Answer:

y= (-1)*x

Step-by-step explanation:

lets assume that the line equation is

y=m*x +b

where m is the slope and b the independent variable that intercept Y axis.

then replacing the value of m:

y=(-1)*x + b

after that we have to look for the value of b. Its obtained replaicing the given point (8,-8):

-8 = (-1)*(8) +b

-8 = -8 + b

0 = b

Therefore the equation of the line is:

y= (-1)*x

Help me please what is the answer for this

If 1 kilometre is equal to 2.2 liters. Then how many liters are in 7 kilometres

Answers

Answer:

15.4 Liters

Step-by-step explanation

1 kilometere x 2.2 liters = 2.2 liters

7 kilometeres x 2.2 liters = 15.4 liters

A square pyramid and cube are shown below. Name the two dimentional figure that is a cross section of the cube but not the pyramid.

Octagon
Square
Triangle
Rectangle

Answers

Answer: Square

The cross section of a cube would be a square, because cubes are made of 2D squares. The cross section of a pyramid would be triangles because they are made of a top with triangles.

The answer is square. Hope this helps!

Answer: The answer is Square.

A cube has sides constructed as 2 Dimensional squares. A pyramid has cross sections of triangles, so they do not have the same shape as a cross section. The answer is square.

Pls pls pls pls pls pls pls pls pls helppp meee i will give BRAINLIEST!!!!!!

Answers

Answer:

D. x = 22.5

Step-by-step explanation:

The answer is a because it is trust me

what is the slope of (-2,1) and (0,1)

Answers

Answer:

0/2

Step-by-step explanation:

y2-y1 over X2-X1

M=rise over run

What fraction of an an hour is 34 minutes

Answers

Answer:

I think 34/60 which is also 17/30

Step-by-step explanation:

Hope this helps!

Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below. Tobias got a score of 74.7; this version has a mean of 61.7 and a standard deviation of 13. Norma got a score of 351; this version has a mean of 291 and a standard deviation of 25. Vincent got a score of 7.38; this version has a mean of 6.9 and a standard deviation of 0.4. If the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job?

Answers

Answer:

Norma performed best on the aptitude test and should be offered the job.

Step-by-step explanation:

We are given that three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below. Tobias got a score of 74.7; this version has a mean of 61.7 and a standard deviation of 13. Norma got a score of 351; this version has a mean of 291 and a standard deviation of 25. Vincent got a score of 7.38; this version has a mean of 6.9 and a standard deviation of 0.4.

Now, to find which of the applicants should be offered the job, we have to find the z-score of each of the applicants, and the one who gets the highest z-score will get the job.

The z-score probability distribution for the normal distribution is given by;

                            Z = [tex]\frac{X-\mu}{\sigma}[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = mean and [tex]\sigma[/tex] = standard deviation

Firstly, we will find the z-score for Tobias;

The z-score of 74.7 = [tex]\frac{X-\mu}{\sigma}[/tex]

                                 = [tex]\frac{74.7-61.7}{13}[/tex] = 1

Now, we will find the z-score for Norma;

The z-score of 351 = [tex]\frac{X-\mu}{\sigma}[/tex]

                               = [tex]\frac{351-291}{25}[/tex] = 2.4

Now, we will find the z-score for Vincent;

The z-score of 7.38 = [tex]\frac{X-\mu}{\sigma}[/tex]

                                 = [tex]\frac{7.38-6.9}{0.4}[/tex] = 1.2      

As we can clearly see that the z-score is highest for Norma which means that Norma performed best on the aptitude test and should be offered the job.

A worde that place before a nawe
or pronden in a sentence​

Answers

Answer:

Prepositions

Step-by-step explanation:

Prepositions are usually used in front of nouns or pronouns and they show the relationship between the noun or pronoun and other words in a sentence

the estimated world population in 2011 was 7 x 10^9. Of the total population, 682 million of those people were left handed. Approximately what percentage of the world population is left handed according to the 2011 estimation

Answers

Answer:

9.7 %

Step-by-step explanation:

estimated world population in 2011 = 7x10⁹

left handed = 682,000,000

find:

Approximately what percentage of the world population is left handed according to the 2011 estimation

percentage = left handed population

                           total population

                   =      682,000,000  

                           7,000,000,000

                   =    0.682

                            7.0

                  =  9.7 %

Answer:

9.7%

Step-by-step explanation:

Hope this helps have a great day!

Please help! Due tommrow!
Divide: 2/3 “ fraction “ divided by 3/4 “ fraction!
Express you’re answer in simplest form

Answers

Answer:

8/9

Step-by-step explanation:

find the Least Common denominator, then change the numerators as need. Divide, then simplify

Elaine has 2 times as many stickers on her notebook as Maryam. Together, they have 15 stickers. How many stickers are on Elaine’s notebook?

Answers

Answer:

Elaine has 10

Step-by-step explanation:

If Maryam has 5 stickers, and Elaine has twice as many, Maryam would have five , because 5x2=10, and 10+5=15, Elaine has 10 stickers

Answer:

10 stickers are on elaines notebook.

Step-by-step explanation:

Y=2(x-1)^2+1 in standard form

Answers

Answer:

2(x^2+1-2x)+1=

2x2+2-4x+1=

2x2-4x+3

Step-by-step explanation:

To celebrate ratios, Mrs. Johnson’s class will make pizzas. Julio is in charge of bringing in the sauce. There are 30 students in his class and each pizza serves 8.

Pizza Sauce Recipe
Pizzas
Pizza Sauce
1
One-third cup
2

3

4



On a coordinate plane, a graph titled Pizza Recipe has Pizzas on the x-axis and Cups of Pizza Sauce on the y-axis. Point A is (3, 2), point B is (4, 2.6), point C is (4.5, 3), point D is (6, 4).

Which point should Julio use to determine the amount of pizza sauce he needs to bring?
A
B
C

Answers

Answer:

B

Step-by-step explanation:

On edge, and I saw other people saying B

Answer:

B

Step-by-step explanation:

did test

What happens to the oxygen released during photosynthesis?
A. The oxygen atoms react with hydrogen atoms and produce water
molecules
B. The oxygen atoms are released from the atmosphere into space.
C. The oxygen atoms diffuse through the atmosphere and are
inhaled by animals.
D. The oxygen atoms diffuse through the atmosphere and are reused
as a reactant for photosynthesis.

Answers

Answer:

I believe your answer is C, the oxygen atoms diffuse through the atmosphere and are

inhaled by animals.

Step-by-step explanation:

Plants take in water that later splits to create hydrogen and oxygen. Since plants don't need oxygen, it gets released into the atmosphere for us and other animals to breathe.

What is 7:x=2:3
Solve for x

Answers

Answer:

10.5

Step-by-step explanation:

Step 1:

7 : x = 2 : 3    Equation

Step 2:

2x = 21      Multiply

Step 3:

x = 21 ÷ 2     Divide

Answer:

x = 10.5

Hope This Helps :)

Solve for x:
4x + 10 = 34

Answers

Answer:

x=6

Step-by-step explanation:

4x+10=34

4x=24

x=6

it’s x=6
4(6)+10=34
24+10= 34

Pls help!!!!!
PS:its not 50,20,10,30,60,90,180,5,2, or 11

Answers

Answer:

x = 2

The smaller angle = 20

The larger angle = 70

Step-by-step explanation:

1/4 of a circle is  90 degrees

90 = 10x+ 20x+30

Combine like terms

90 = 30x+30

Subtract 30 from each side

90-30 = 30x+30-30

60 = 30x

Divide each side by 30

60/30 = 30x/30

2= x

10x = 10*2 = 20

20x+30 = 20*2 + 30 = 30+30 = 70

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