Express the limit as a definite integral on the given interval.

n
lim Σ
n→[infinity] n i = 1 [3(xi*)3 − 7xi*]Δx, [2, 5]

Answers

Answer 1

9514 1404 393

Answer:

  [tex]\displaystyle\int^5_2 {(3x^3-7x)} \, dx[/tex]

Step-by-step explanation:

The interval of interest becomes the limits of integration. ∆x becomes dx, and the xi are replaced by the variable of integration, x.


Related Questions

Fill in the blank
А______
is a general mapping or pairing of input values with output value
Your answer:
expression
equation
relation
inequality
derivative

Answers

Inequality hi how h day?

If there are 6 people,and each person has 3 coins,There are times as many coins as people

Answers

In total 6 people will have: 6x3 = 18( coins)
So 6 people will have 18 coins

Hope it helps! If it is, Brainliest please!

Simplify the following expression and show your work in details please .

Answers

Answer:

Assuming you just want it simplifies, the answer would be m+5

Step-by-step explanation:

4m+5-3m -------> combining like factors

m+5

Which of the following measures the variability of a data set?
A. median
B. MAD
C. mode
D. mean

Answers

Answer:

A

Step-by-step explanation:

The answer is the median because it shows how data are being scattered

The answer is A. Median I know that because I just had that question

Answer the questions by drawing on the coordinate plane below. A) Draw the image of □PQR after a rotation of 180° about the origin. Label the image □ P'Q'R. B) Draw the image of □ PQR after a reflection across the x-axis. Label the image □P'Q'R. (Will Mark Brainliest. Show your work to get Brainliest. ​

Answers

Answer: See the attached image below

==========================================================

Explanation:

Part A

The rule for a 180 degree rotation about the origin is

[tex](x,y) \to (-x,-y)\\\\[/tex]

The x and y values flip in sign from positive to negative, or vice versa.

A point like P(1,-1) will move to P ' (-1, 1) as shown in the first diagram. Points Q and R follow the same idea.

Side note: It doesn't matter if we rotate clockwise or counterclockwise. We'll end up at the same result. This only works for 180 degree rotations.

----------------------------

Part B

When we apply an x-axis reflection, we apply this rule

[tex](x,y) \to (x,-y)\\\\[/tex]

This rule is nearly the same as the previous rule, but this time the x coordinate stays the same.

For example, the point P(1,-1) moves to P ' (1, 1)

The same applies to points Q and R as shown in the second diagram.

hellp mee plzz in these all with proper formula​

Answers

Step-by-step explanation:

the answer is in picture

the central bank of the United States it the

Answers

Answer:

The Federal Reserve System, the central bank of the United States, was founded by Congress to provide a safe, flexible and stable monetary and financial system.

Write the equation of the function graphed below:

x) =x√3
x
3
– 4


f(x) =x√3
x
3
+ 4


f(x) = 2x√3
x
3
+ 4


f(x) = 2x√3
x
3
–4

Answers

Answer:

  (d)  f(x) = 2∛x -4

Step-by-step explanation:

The graph is of a cube root function that has been vertically scaled by a factor of 2 and translated down 4 units. The equation of the function can be written ...

  f(x) = 2∛x -4

Answer:

f(x) = 2x√3

x

3

–4

Step-by-step explanation:

Determine which of the following mappings are functions. If the relation is not a function, indicate why it is not.

Answers

Step-by-step explanation:

1. the first mapping is a function

2. the second mapping is not a function, because: B has 2 relations, C & E have no relations.

3. the third mapping is a function

4. the fourth mapping is not a function, because B has no relation.

factorize given
[tex]4sin ^{2} \alpha - 5 sin \alpha - 6[/tex]

Answers

ok i will help you :)

Step-by-step explanation:

Hey there!

See the attached picture.

Hope it helps!

the mean of seven numbers is 15. when three numbers are added, the mean of ten numbers becomes 12. find the mean of the three numbers.​

Answers

Answer:

3 is the value I guess because with seven it becomes 15 where as with 10 it become 12 so there is 3 numbers gap

I don't know exactly so I just try

Answer:

13 is the answer

Step-by-step explanation:

QOX
7. A total of 2000 people attended a benefit
concert was held to raise money for a
children foundation. Student ticket cost $2
and an adult ticket cost $3. If the organizer
raises a total of $5050, how many students
attended the concert?
Let x = number of students
Let 2000 - x = number of adults



Need explanation

Answers

Answer: Student ticket cost $2 and an adult ticket cost $3.

257 kids total attended

Step-by-step explanation:

a right triangle has a hypotenuse of length 2 inches. if one angle is 38°, find the length of each leg

Answers

Answer:

21

Step-by-step explanation:

Round off 731 and 164 to the nearest tens.find The difference of the rounded off numbers.round off the difference to the nearest hundred​

Answers

Answer:

731 and 164 rounded off to the nearest tens is 730 and 160.

the difference is 570

570. rounded off to the nearest hundred is 600

-22+(-16)=

Help me please

Answers

Answer:

[tex] - 22 + ( - 16) = - 22 - 16 = -3 8[/tex]

I hope I helped you^_^

Answer:

-38

Step-by-step explanation:

A good trick is to add it normally and just apply the sign

A 20 in board is to be cut into 3 pieces so that the second piece is 4 times as long as the first piece and the third piece is 5 times as long as the first piece. If x represents the length of the first piece , find the length of all three pieces

Answers

Answer:

first piece: 2in

second piece: 8in

third piece: 10in

Step-by-step explanation:

We have

first piece + second piece + third piece = 20

second piece = 4 * first piece = 4x

third piece = 5 * first piece = 5x

x + second piece + third piece = 20

plug 4x in for the second piece, 5x in for the third

x + 4x + 5x = 20

combine like terms

10x = 20

divide both sides by 10 to isolate x

x = 2

second piece = 4x = 8

third piece = 5x = 10

Hi, Find k, if x+2k is a factor of p(x). p(x) =3x^2+6kx^2-14x-3
Pls answer this and u will be given the brainliest crown !!!
The first person gets it if the answer is correct​

Answers

Answer:

Step-by-step explanation:

First off, your polynomial should be a third degree, not a second degree. That's probably why you didn't get someone to answer this for you already.

If x + 2k is a factor of that polynomial, then by the Zero Product Property

x + 2k = 0 and x = -2k. That means that, by the factor theorem, f(-2k) = 0 (which means that if you plug -2k in for all the x's you get a zero). Therefore,

[tex]3(-2k)^3+6k(-2k)^2-14(-2k)-3=0\\-24k+24k+28k-3=0\\28k-3=0\\28k=3\\k=\frac{3}{28}[/tex]

Answer:

the answer is in picture

y = - 18 when x = 3 , find x when y = 30

Answers

Answer:

x=-5

Step-by-step explanation:

First create a ratio -18/3 = 30/x

Cross multiply -18x=90

90/-18=-5

x=-5

Find the slope and the y-intercept of the line. ​

Answers

Answer:

slope=-1/5

y intercept=8

Hope this helps

Step-by-step explanation:

Answer:

Slope = -1/5

y-intercept: 8

Step-by-step explanation:

The line equation is y = mx + b, where m is the slope and b is the y-intercept.

We see that m is replaced by -1/5 and that b is replaced by 8.

Hope this helps!

plz help brainiest to whoever right

Answers

Answer:

They add up to equal 90 degrees.

If a/b < c/d with b > 0, d > 0, prove that a+c / b+d lies between the two fractions a/b and c/d .​

Answers

Divide through everything by b :

[tex]\dfrac{a+c}{b+d} = \dfrac{\dfrac ab + \dfrac cb}{1 + \dfrac db}[/tex]

Since a/b < c/d, it follows that

[tex]\dfrac{a+c}{b+d} < \dfrac{\dfrac cd+\dfrac cb}{1 + \dfrac db}[/tex]

Multiply through everything on the right side by b/d to get

[tex]\dfrac{a+c}{b+d} < \dfrac{\dfrac{bc}{d^2}+\dfrac cd}{\dfrac bd+1} = \dfrac{\dfrac cd\left(\dfrac bd+1\right)}{\dfrac bd+1} = \dfrac cd[/tex]

and so (a + c)/(b + d) < c/d.

For the other side, you can do something similar and divide through everything by d :

[tex]\dfrac{a+c}{b+d} = \dfrac{\dfrac ad + \dfrac cd}{\dfrac bd + 1}[/tex]

and a/b < c/d tells us that

[tex]\dfrac{a+c}{b+d} > \dfrac{\dfrac ad + \dfrac ab}{\dfrac bd + 1}[/tex]

Then

[tex]\dfrac{a+c}{b+d} > \dfrac{\dfrac ab + \dfrac{ad}{b^2}}{1 + \dfrac db} = \dfrac{\dfrac ab\left(1+\dfrac db\right)}{1 + \dfrac db} = \dfrac ab[/tex]

and so (a + c)/(b + d) > a/b.

Then together we get the desired inequality.

The quadratic equation y = - 16t^2+ 56t+ 2 represents the height of a projectile,
y, in feet, at a particular time, t, in seconds.
For what interval or intervals of time will the projectile be above 26 feet?

Answers

Answer:

0.5 < x < 3

or (0.5, 3)

Step-by-step explanation:

-16t² + 56t + 2 = 26

Subtract both sides by 26

-16t² + 56t + 2 = 26

                 -26   -26

-16t² + 56t - 24 = 0

Divide both sides by -8 to simplify

(-16t² + 56t - 24)/8 = 0/8

2t² - 7t + 3 = 0

Factor

(x - 3)(2x - 1) = 0

Do this to find the x's

x - 3 = 0

 + 3  +3

x = 3

2x - 1 = 0

    + 1  + 1

2x = 1

2x/2 = 1/2

x = 0.5

0.5 < x < 3

This means the intervals will have to be between 0.5 and 3 seconds

Marcus takes 5 steps to move from 8 inches to 113 inches.

Write an equation for this situation then solve for the length of one step.

Hint: Let x = length of one step

Answers

The length of one step is 21 inches

Let x = length of one step

Since Marcus takes 5 steps to move from 8 inches to 113 inches, then the length of one step will be calculated thus:

x = (113 inches - 8 inches) / Number of steps

x = (113 inches - 8 inches) / 5

x = 105 inches/5

x= 21 inches

In conclusion, the length of one step is 21 inches

Read related link on:

https://brainly.com/question/16450098

I struggle with these, please help.

Answers

Answer:

5/12

Step-by-step explanation:

tan=opposite/adjacent

tan30=5/12

Answer:

Tanθ = opposite/adjacent

[tex] \tan(30) = \frac{5}{12} [/tex]

I hope I helped you^_^

3729*846+289*3729-3729*135 can be solved using which property​

Answers

Answer:

BODMAS

the answer is 3,729,000

Have a good day !


How do i express x^2-3x into the form of (x-m)^2+n.
I will give brainliest to first correct answer

Answers

Well this could be incredibly easy, by just saying [tex]m=0[/tex] and [tex]n=-3x[/tex].

This is a completely valid case but nevertheless seems too easy. The requirements are probably that n and m are integers or natural numbers but since that was not specified such probable requirement ought not to be followed.

Hope this helps :)

Evaluate the logarithm at the given value of x without using a calculator.
Function Value
g(x) = log_b(x) x = √b

Answers

9514 1404 393

Answer:

  g(x) = 1/2

Step-by-step explanation:

The applicable relations are ...

  [tex]\log_b(x)=a\ \Longleftrightarrow\ b^a=x\\\\\log_b(x^a)=a\cdot\log_b(x)\\\\\log_b(b)=1[/tex]

__

We want to find logb(x) for x = b^(1/2). Using the first relation, we see ...

  g(x) = logb(x)

  b^(g(x)) = b^(1/2) . . . . . using g(x) = a

  g(x) = 1/2 . . . . . equating exponents

__

Alternatively, using the last two relations, we have x = b^(1/2), so ...

  g(b^(1/2)) = logb(b^(1/2)) = (1/2)logb(b) = (1/2)(1)

  g(x) = 1/2

_____

Additional comment

I find it useful to remember that a logarithm is an exponent. The first applicable relation shown above is a statement to that effect.

How do you calculate frequency? If there are 138 bright white phones out of 1301 total phones, how do I calculate the frequency?

Answers

300000000000000000000000

Write down what you know from the markings

Answers

Answer:

Same makings on the lines and angles indicate they are congruent (have same measure).

As per drawing:

MI = MY as both line segments have same single marking.IC = KC as both line segments have same double marking.m∠M = m∠I as both angles have same angle marking.

Marissa earns $1,000 after taxes twice a month. Marissa's monthly bills are $1,200. Marissa deposits 40% of her remaining monthly income into a savings account and annually saves:

Answers

She saves $3,840 annually into savings account

1. Marissa earns $1,000 after taxes twice a month

This means Marissa earns $2,000 ($1000 x 2) after deduction of taxes

2. Marissa's monthly bills are $1,200.

The monthly bills means expenses that Marissa incurred during the month.

3. Marissa deposits 40% of her remaining monthly income into a savings account

The balance of Marissa earnings per month after deduction of his expenses (bills) is $800 ($2,000 - $1,200).

She deposits 40% of $800 into a savings account.

= 40% x $800

= $320

So, she is saving $320 out of the remaining $800 she has per month.

4. Marissa annually save?

She saves $3,840 annually ($320 x 12 months) into savings account.

However, she has a disposable income of $480 per month, equivalent to $5,760 per annum.

See related question here https://brainly.com/question/18917500

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A 20 in board is to be cut into 3 pieces so that the second piece is 4 times as long as the first piece and the third piece is 5 times as long as the first piece. If x represents the length of the first piece , find the length of all three pieces what is stock exchange? Circle in the following reading the verbs in Future with yellow colorFamily Life in the FutureThe world we live in seems completely normal, what we do seems logical and correct However, everything that is normal in the present was different in the past.According to the Sociology Professor Pepper Schwartz, family, love and relationships will change drastically in the future. In 90 years, technology will have changed our lives so much that social constructions will be different. Families will become androgynous. Household tasks will no longer be one persons job solely based on gender. That is, men will stop being who provide to the family or the main breadwinner in less than a century. Men and women will both take care of the house and work to earn money. Schwartz says that there will be many cases of subrogation. In addition to women who cant have children due to natural causes, women with a very good income will avoid having many pregnancies. The options may be to have children outside of the mothers womb. This will help eliminate the idea of women as more responsible for a child than the father. Thanks to scientific advances there will be fewer cases of children with physical or mental defects because they will be detected and corrected before delivery. Divorce cases will still be common. The life expectancy will be higher, and the average person will have approximately 3 marriages during their life. The cost of living will rise a lot, which will make it almost impossible for families to have a house for themselves. Also, raising children will be very expensive. So, the state will have to provide a subsidy for education. Only very poor and very rich people will have more than two children. If a town x is on longitude 10 west and town z is on longitude 45 west.If the time is 12:00 noon find the time in town z What does No matter how long the night, the day is sure to come, mean? plz help brainiest to whoever right A gas cylinder filled with argon is kept at a pressure of 177 atm and 25 degrees C. What is the gas pressure when the temperature of the cylinder and its contents are heated to 195 degrees C by exposure to fire? If A/B and C/Dare rational expressions, thenAxC/BxD = AxD/BxCA. TrueB. False 1. To enlarge the areas under their control, kings of old sent out their armies to________the owners of lands around them Why is illegal immigration a controversial issue?(A) People think that the current laws on immigration address the issue well. (B) There are far fewer illegal immigrants each year than naturalized citizens. (C) Americans disagree on whether immigration law should change to address it. (D) Most naturalized citizens first entered the United States as illegal immigrants. Evaluate each expression for the given values of m and n. 2m - 4n(3m 4) if m= 1 and n= -3 (2) Prompt: Identity three skills that make a good leader and explain why each is important. Describe a situation where you hadto be a leader, even if you did not want to be, and explain how you handled the leadership role. Find the value of x that will make L||M. It's geometry please help me The quadratic equation y = - 16t^2+ 56t+ 2 represents the height of a projectile,y, in feet, at a particular time, t, in seconds.For what interval or intervals of time will the projectile be above 26 feet? -22+(-16)=Help me please It has been mathematically demonstrated that the current temperature trends fall outside the range of natural variability and there is unquestionably an anthropogenic contribution to modern day climate change.a. Trueb. False Fill in the blank in the following dialogue with the appropriate pair of articles below.toilettes ici?-Oui, toilettes sont par l.-Y a-t-il --just in case yall need it What is the answer plz answer this one Is this right besties ? Im doing a package because my schools shutdown :((