Express the limit as a definite integral on the given interval. lim n→[infinity] n xi ln(1 + xi2) Δx, [2, 7] i = 1

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]Consider \ the \ following \ series[/tex]

[tex]\lim_{n \to \infty} \sum \limits ^n_{i=1} x_i \ In ( 1+ x_i^2) \Delta x , [2,7][/tex]

[tex]Let's \ recall \ the \ explanation \ of[/tex] d[tex]efinite[/tex] [tex]\ integral \ in \ terms \ of \ Riemann \ sum[/tex]

[tex]\int^b_a \ f(x) \ dx = \lim_{n \to \infty} \sum \limits ^n_{i=1} \ f(x_i) \Delta x , \ where \ \Delta x = \dfrac{b-a}{n}[/tex]

[tex]By \ efinition, \ the \ limit \ is \ then \ expressed \ as \ integral[/tex]

[tex]\lim_{n \to \infty} \sum ^a_{i=1} \ x_i \ In (1+x_i^2) \Delta x = \int^7_2 xIn (1+x^2) \ dx[/tex]


Related Questions

Income can come from
a a part-time job.
b. allowance
c. odd jobs.
d. all of the above.

Answers

Answer:

d

Step-by-step explanation:

Answer:

D. all of the above

Step-by-step explanation:

they all give you money.

Without completing decide whether the value of each expression is on is much smaller than 1 close to 1 or much greater than 1

Answers

Answer:

Step-by-step explanation:

1) Larger

2) Less/Close

3) Less

4) Less

5)Less

6) Close

here is a tip if you need help with a question use

the mathhhhhh wayyyy

Patrick is responsible for choosing the company his local community group will use for having T-shirts printed. He must choose between Initial Me and Monogram Mania. Both companies charge an initial set-up fee and then charge per T-shirt printed.

The graph shows the cost of purchasing T-shirts from Initial Me and the cost of purchasing T-shirts from Monogram Mania.

Which statements are true about Initial Me and Monogram Mania?

Select each correct answer.


Initial Me charges $8 per T-shirt printed.

The two companies will cost the same if 130 T-shirts are purchased.

Patrick should choose Initial Me because it will cost less regardless of the number of T-shirts printed.

Monogram Mania charges less per T-shirt printed than Initial Me charges.

The initial fee charged by Monogram Mania is $50.

The initial fee charged by Initial Me is $80.
























Give too the most brainlyist

Answers

Answer:

1. Initial Me charges $8 per T-shirt printed.

2. Monogram Mania charges less per T-shirt printed than Initial Me charges.

The answer is Monogram Mania charges less per T-shirt printed than Initial Me charges.

What are linear equations?

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here: Two T-shirt brands Initial me and monogram mania

Clearly from the graph we can observe that the slope of monogram is not as steep as initial me which indicates that Monogram Mania charges less per T-shirt printed than Initial Me charges.

Hence, The answer is Monogram Mania charges less per T-shirt printed than Initial Me charges.

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Which statement is correct?
A 10 quarts > 2.5 gallons
B 10 quarts < 2.5 gallons
C 10 quarts = 2.5 gallons

Answers

Answer:

the answer is C

Step-by-step explanation:

2.5 gallons are equal to 10 quarts

Benjamin correctly graphed the quadratic function y = -3x2 + 5. Which of these is true of Benjamin's graph? A. The graph of the function is a line. B. The graph has a vertex at (0, -5). C. The graph has a maximum value at (0, 5). D. The graph is much wider than the original parent function y = x2.

Answers

Its C the graph has a maximum value at (0,5)

The graph has the shape of a parabola with vertex (maximum value) at point (0, 5)

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the quadratic function y = -3x² + 5:

The graph has the shape of a parabola with vertex (maximum value) at point (0, 5).

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You make six posters to hold up at a basketball game. Each poster has a letter of the word TIGERS You and five friends sit next to each other in a rowe
The posters are distributed at random. Find the probability that TIGERS is spelled correctly when you hold up the posters

Answers

Answer:

1/720

Step-by-step explanation:

there is only one way to spell tiger but there's 720 outcomes of the other words you can make

The probability that TIGERS is spelled correctly when you hold up the posters is 0.00139 approximately or 1/720 exactly.

How to calculate the probability of an event?

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

For this case, the letters of TIGERS are given at random.

All the six letters are different and there exist 6! permutations for them. (as for n unique things, there exist n! possible arrangements of theirs).

So, the posters can be distributed in 6! = 6×5×4×3×2×1 = 720 ways.

Out of those 720 ways, there is only one correct way to spell TIGERS correctly.

Thus, we get:

P(event that correct order of posters is distributed) = [tex]\dfrac{1}{720} \approx 0.00139[/tex]

Thus, the probability that TIGERS is spelled correctly when you hold up the posters is 0.00139 approximately or 1/720 exactly.

Learn more about probability here:

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If 5 candy bars weigh 40 ounces, what is the weight of 15 candy bars in
ounces

Answers

Answer:

Try 120

Step-by-step explanation:

5 times 8 equal 40

15 times 8=  120

4) Alen has been saving for a video game. Last year it cost $28. This year it
Costs $36. Find the percent of change in the cost, round to the nearest
Whole percent

Answers

Answer:

15% i think

Step-by-step explanation:

I HOPE ITS HELP

someone please help....
Asap ILL GIVE 20 points

Answers

Answer:

5Y+8

Step-by-step explanation:

Answer:5 y +40

Step-by-step explanation: you do 5 times y which is 5y and do 5 times 8 which is 40. And add them together.

Emiko needs to go to the dentist. It takes her 65 minutes to get there on her bike. This is 5 minutes shorter then twice the time it would take by bus. Write and slove an equation to find how long it takes Emiko to get to the dentist by bus.

Answers

Answer:

30 minutes by bus

Step-by-step explanation:

Equation: b = bus

b = (65 - 5) / 2

b = 60/2

b = 30 mins

Please give Brainliest :)

Y=3x-1 is dilated by a scale factor of 4 and center at the origin what is the equation that represents the image of the line after the dilation

Answers

Answer: x=1/3y+1/3

Step-by-step explanation: Step 1: Flip the equation. 3x−1=y Step 2: Add 1 to both sides. 3x−1+1=y+1/3x=y+1 Step 3: Divide both sides by 3. 3x/3 = y+1/3 x= 1/3 y+ 1/3

x − 3(3x + 6) = 5 − 8x

Answers

The answer is 23 I’m pretty sure that’s correct

Answer:

23

Step-by-step explanation:

1

Distribute

−3(3+6)=5−8

−9−18=5−8

2

Combine like terms

−9−18=5−8

−8−18=5−8

3

Rearrange terms

−8−18=5−8

−8−18=−8+5

4

Add 

18

1818

 to both sides of the equation

5

Simplify

6

Add 

8

8x8x

 to both sides of the equation

7

Simplify

Result:

0=23

Find the area of the trapezoid,
21 m
7 m
21 m
o
A. 1543.5 m
<
OB. 220.5 m?
C. 294 m?
O D. 588 m?
1. 014 Answered
Please help

Answers

Answer:

The answer is 294 which is C

Step-by-step explanation:

-2 1/4 divided by (-1 1/2)

Answers

Answer:

1.5

Step-by-step explanation:

Answer:

1 1/2

Step-by-step explanation:

-2 1/4 = [tex]-\frac{(2*4)+1}{4}= -\frac{9}{4}[/tex]

-1 1/2 = [tex]-\frac{(1*2)+1}{2}=-\frac{3}{2}[/tex]

-2  1/4 ÷ -1 1/2 = [tex]-\frac{9}{4} * -\frac{2}{3}[/tex]

                      = [tex]\frac{3}{2}[/tex]

                     = 1 1/2

Use KCF method

Keep the first number.

Change division to multiplication

Flip the second number


What is the equation of the line in slope-intercept form?

Answers

Answer:

The equation of the line in slope-intercept form is:

y = x + 4

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

m is the slopeb is the y-intercept

Given the points on the line graph

(0, 4)(1, 5)

Determining the slope between (0, 4) and (1, 5)

(x₁, y₁) = (0, 4)

(x₂, y₂) = (1, 5)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

                =  [5 - 4] / [1 - 0]

                = 1 / 1  

               = 1

Thus, the slope of the line = m = 1

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 4

Thus, the y-intercept b = 4

now substituting b = 4 and m = 1 in the slope-intercept form

y = mx + b

y = (1)x + 4

y = x + 4

Therefore, the the equation of the line in slope-intercept form is:

y = x + 4

Tv= $350 discount = 25%

Answers

The answer is 262.5

3 and 8 ?o?
What is the product of

Answers

Answer:

the product of 3 and 8? is 24

Answer:

24

Step-by-step explanation:

8+8=16

16+8=24

help me pls need help​

Answers

Answer:

I

Step-by-step explanation:

Two points, a and b, are graphed on the number line below. Maynard says there is not
enough information to write an inequality statement comparing a and b. Which statement
explains whether or not Maynard is correct?

Answers

Answer:b

Step-by-step explanation:

Maynard is incorrect on the number line a is to the left of b thus a < b can be represented thus option (A) is correct.

What is inequality?

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

As per the given number line,

If a number is going to the left of a number line then it will become lower and lower.

Since a is on the left of b so a < b.

It is also obtained that a is less than 0 so it will be negative while b will be positive since all negative value is less than positive thus a < b will be correct.

Hence "Maynard is mistaken since an is to the left of b on the number line, which can be expressed as a b".

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PLZ HELP
-3/8 divided by -1/4

Answers

-3/8 ÷ -1/4 = -3/8 *-4/1= 12/8 = 1 4/8, 1 1/2

What is the value of (-1/2)^-4?
O-16
1/16
1/16
O 16

Answers

Hmmm 16 pretty sure

Answer: answer is 16

Step-by-step explanation:

Got it right on edge

WA
The midline is y=
The amplitude is
The period is

Answers

Answer:

The midline is y=-1

Amplitude = 3

The period is 2 units

Step-by-step explanation:

Sinusoidal Function

It refers to a mathematical curve with a smooth and periodic oscillation. Its name comes from the sine function but it can be a cosine function too. They only differ by the phase angle of 90 degrees or π/2 radians.

The amplitude is half the distance from the maximum and the minimum points. The graph shows a sinusoid with a maximum value of y=2 and a minimum value of y=-4.

The amplitude is:

[tex]A=\frac{2+4}{2}=3[/tex]

Amplitude = 3

The midline is the distance from the center of the sinusoid to the x-axis. It's also called the vertical shift.

The midline can be found by subtracting the amplitude A=3 to the maximum value M=2:

ML = 2 - 3 = -1

It can also be found by adding the amplitude to the minimum value:

ML = -4 + 3 = -1

The midline is y=-1

The period is the time the wave takes to complete a full cycle. We only have to focus at any point on the wave (xo,yo) and find the next value of x where the sinusoid has the very same behavior (x1,y1). The period is then x1-x0.

We find at x=0, y=-1 and it's moving up. At x=1 it has the same value but it goes down, so the wave is at its half cycle. At x=2 it repeats the same behavior as for x=0. Thus:

The period is 2 units

is the relationship linear, exponential, or neither?

Answers

i’m pretty sure it’s linear, both sides go up at the same constant rate, x is going up 4 each time and y is going up 6

Your answer is linear.

First find the value of the variable in the diagram

Answers

64 degrees

Opposite angles are congruent so that other angle is 64 degrees and then you do 180-(52+64)

Which fraction can be replaced with 0 when estimating with fractions?

A. 1/5
B. 3/4
C. 8/20
D. 4/9

Answers

any number as the denominator and 0 as the numerator can be replaced in the place of 0.

Which rigid transformations would map ΔJKL onto ΔPQR? Select the three correct answers.

a reflection only
a rotation only
a rotation and a reflection
a translation and a reflection
a translation only

Answers

Answer:

a. a reflection only

c. a rotation and a reflection

d. a translation and a reflection

Step-by-step explanation:

just took the test

Answer:

look at the screen shot :)

Step-by-step explanation:

The measure of is 150°. What is the value of ?


30°
90°
120°
210°

Answers

it is 120 value...............................

given the parralegram find the measure of

Answers

Answer:

can i  get a picture??-

Step-by-step explanation:

Which description best compares the graphs of the two functions below I ready

Answers

Answer:

Some of your pic is cut off so it's difficult to give the exact answer.  But if you plot the points from the table you get that the equation for that set of data is linear and is y = 1/3x -2.  This tells me that the y-intercepts are the same for both equations, so your answer is not the first or the third.  Because the slope of the function A is 3 and for B is 1/3, the line for function A is steeper, the second of your choices above.

is the triangle congruent to triangle a? if so how?​

Answers

Answer:

Step-by-step explanation:

1 and triangle A is congruent by Angle Side Angle congruent.

2 and triangle A is congruent by Side Side Side congruent.

3 and triangle A is congruent by Angle Side Angle congruent.

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You and your friend are playing "Fire-Water-Sponge." In this game, each of the two players chooses fire, water, or sponge. Both players reveal their choice at the same time, and the winner is determined based on the choices. Fire beats sponge by burning it, sponge beats water by soaking it up, and water beats fire by putting it out. If both players choose the same object, it is a tie. All the possible outcomes of the game are listed below. If we take outcomes 1,5,1,5,1, comma, 5, comma and 888 as a subset of the sample space, which of the statements below describe this subset? hector solves 9 x 8 by subtracting 1/8 from 10/8 Someone plz help me I will give brainliest What is 35% of 220? A. .77 B. 7.7 C. 77 D. 770 what additional piece of evident in the text supports the inference complete the chart 10. (04.01)Which of the following best defines a function? (4 points)A function is a special type of relation for which there is a rule that pairs each input with exactly one output.A function is a relationship that defines the connection between two variables.A function is a set of ordered pairs in which no y-value repeats,A function pairs input and output values with no particular pattern, Theconverts the motion of the brake pedal into hydraulicpressure.Select the correct answer.A Brake baduterB. Slave cylinderC. Master cylinderD. Brake fluid What are the environmental factors that cause the formation of rust?AirA FrictionB )WaterC )Iron AlloysD )A, B and CE )A, B, C and DSP2Copyright 2021 S/P2. All Rights Reserved. Can someone answer this? Refer to the data. Assuming the bank loans out all of its remaining excess reserves as a checkable deposit, and has a check cleared against it for that amount, its reserves and checkable deposits will now be: Please interfer with the question lololol jkjk Select the linking verb and the predicate noun or predicate adjective. 2. Which of the following industries led the way as Britain began to industrialize in the 1700s?O C. OilD. RailroadsA. MiningO B. Textiles PLEASE HELP URGENT!!Using the picture, explain how you can determine the Rick ages. How can scientists use these fossils to help age the rocks? Give an explanation on how one of these fossils was made. The weather map below shows a low pressure system centered near Poughkeepsie New York what is the time in kigali 30E if the time in Nairobi 90E is 2100pm A custodian went to buy x boxes of cleaning supplies and y boxes of light bulbs. He had the back of a van to transport them. Given a maximum amount that he could spend, and a limited space to put the supplies in, the following system of inequalities and graph represent the constraints.LOOK AT SCREENSHOT FOR THE GRAPHWhich of the following points represent real solutions for this situation? Select all that apply.(0, 40)(30, 20)(37.5, 15)(50, 5) Complete the conversion.4,400 yd=___ mi(Type an integer, fraction, or mixed number.) Witch Are the correct steps for evaluating 16b + 8 divided by 2 when b=4 I'm giving the brainliest if it's correct thank you An ammonia (NH3) sample occupies a volume of 6.00 L at TPN. Calculate its mass.