Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints of each subinterval as your sample points.)

7
3
x
2+x4
dx

Answers

Answer 1

The integral ∫[3 to 7] x/(2 + x^4) dx can be expressed as a limit of Riemann sums. The Riemann sum is an approximation of the integral by dividing the interval [3, 7] into subintervals and evaluating the function at sample points within each subinterval.

To express the integral as a limit of Riemann sums, we start by dividing the interval [3, 7] into n equal subintervals. Let Δx be the width of each subinterval, given by Δx = (b - a)/n, where a = 3 is the lower limit and b = 7 is the upper limit. Hence, Δx = (7 - 3)/n = 4/n.

Next, we choose the right endpoints of each subinterval as our sample points. So, for the i-th subinterval, the sample point is xi = a + iΔx = 3 + i(4/n).

Now, we can express the integral as a limit of Riemann sums. The Riemann sum for the given integral is:

Σ[1 to n] (x_i)/(2 + (x_i)^4) Δx

Substituting the values for xi and Δx, we get:

Σ[1 to n] ((3 + i(4/n)) / (2 + (3 + i(4/n))^4)) (4/n)

This Riemann sum represents the approximation of the integral using n subintervals and the right endpoints as sample points. To obtain the integral, we take the limit as the number of subintervals approaches infinity, which is expressed as:

lim[n→∞] Σ[1 to n] ((3 + i(4/n)) / (2 + (3 + i(4/n))^4)) (4/n)

Evaluating this limit will yield the exact value of the integral. However, since we were asked to express the integral as a limit of Riemann sums without evaluating the limit, we stop here and leave the expression in terms of the limit.

To learn more about Riemann sums, click here: brainly.com/question/30404402

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Related Questions

TWENTY POINTS
PLEASE HELP ASAP DONT STEAL POINTS


Multiplying the radical by a number between 0 and 1 causes the graph of the parent function ( f(x)= √x ) to ___________.

Answers

Answer:

FOR YOU LOVE

Step-by-step explanation:

If a function is defined by a radical expression, we call it a radical function. The square root function is f(x)=√x f ( x ) = x . ... A radical function is a function that is defined by a radical expression.

THE PIC IN ABOVE IS EQUATION TRY TO ANSWER IT

PLEASS MARK ME AS BRAINLIEST LOVE YOU STAY SAFE

Amanda has $56.10 in her bank account in March. In May she has 4 times as much money in her account than she did in March. In June she adds $75.22 to her account. How much money does Amanda have in her account in June?

Answers

Answer:

$299.62

Step-by-step explanation:

Amanda has $56.10 in his bank account in march

In May he has 4 times this money

= 56.10×4

= 224.4

In June she add $75.22 to the money

= 224.4 + 75.22

= 299.62

Hence in June Amanda has $299.62 in her account

look at the picture please help.​

Answers

Answer:

Under 1: $3.25

Under 3: $9.75

Under 5: $16.25

Cost for 15 pounds = $48.75

Answer:

1 pound= $3.25

3 pounds=$9.75

5 pounds=$16.25

15 pounds =$48.75

Step-by-step explanation:

1x3.25=3.25

3x3.25=9.75

5x3.25=16.25

15x3.25=48.75

Which equation represents the line that passes through the point (1, 5) and has a slope of -2?

Answers

Answer:

y=-2x+7

Step-by-step explanation:

y-y1=m(x-x1)

y-5=-2(x-1)

y=-2x+2+5

y=-2x+7

can you help me with this ​

Answers

Answer:

[tex]140[/tex]°

Step-by-step explanation:

This polygon has [tex]9[/tex] sides, so it's a nonagon. The expression used to find the sum of the measures of the interior angles of any polygon is [tex]180(n-2)[/tex]° where [tex]n[/tex] is the number of sides the polygon has. In this case, [tex]n=9[/tex], so the sum of the measures of the interior angles of this polygon is [tex]180(9-2)=180*7=1260[/tex]°.

We are given that this is a regular polygon (with 9 sides), meaning that all of its interior angles have the same measure, and we also know that the sum of the measures of its interior angles is [tex]1260[/tex]°. Therefore, each interior angle measures [tex]\frac{1260}{9}=140[/tex]°. Hope this helps!

Step 1: Give an example of an equation that has a variable on both sides. (YES YOU GET TO MAKE UP YOUR OWN EQUATION) Step 2: After you create your equation, explain with words how you would solve your equation. Make sure you explain each step and the properties you would use. Your answer should be in paragraph form. *

Answers

Answer:

3m = 3m

Step-by-step explanation:

Divide both sides by 3, and you get m = m

disappointing but this was all i could think of sorry

Which of the following equations are equivalent? Select three options.
2+x=5
X+ 1 = 4
09+X=6
X+(-4)=7
0-5+ X= -2

Answers

Answer:

2+x=5

X+1=4

0-5+X= -2

These are the answers

Evaluate the expression for the given value of the variable.

6 × (h + 4) for h = 3

The answer is

Answers

Answer:

42

Step-by-step explanation:

6*(3+4)6*7

42

Answer:

42

Step-by-step explanation:

[tex]6 \times 3 + 6 \times 4 \\ 18 + 24 = 42[/tex]

in 10 years time a father Will be twice as old as his daughter.10 years ago he was six time as old as his daughter.How old is each now

Answers

Answer:

Step-by-step explanation:

let fathers age now be x

daughters age now be y

10 years hence

(x+10)= 2(y+10)

x+10 = 2y+20

x-2y=10

10 years ago

(x-10)= 6(y-10)

x-10 = 6y-60

x-6y=-50

x-2y=10

x-6y=-50

subtract the equations

4y=60

y=15 daughter's age now

substitute y in x-2y=10

so x=40 present father's age

pls mark brainliest

Answer:

Let the age 10 years ago of daughter be ( x years ) and age of father would be ( 6x years )

After 10 years, age of father = ( 6x + 10 + 10 )

= ( 6x + 20 ) years

And Age of daughter will be = ( x + 10 + 10 )

= ( x + 20 ) years

ATQ,

6x + 20 = 2( x + 20 )

=> 6x + 20 = 2x + 40

=> 6x - 2x = 40 - 20

=> 4x = 20

=> x = 5

Hence, Present age of daughter = ( x + 10 )

= ( 5 + 10 )

= 15 years

Present age of father = ( 6x + 10 )

= 6( 5 ) + 10

= 30 + 10

= 40 years

Step-by-step explanation:

your answer Miss.

Find the volume of a cylinder that has the following dimensions. Do not round your answer. (Use 3.14 for TT.)
radius: 5 cm
height: 0.25 m
volume =
cm

Answers

Answer:

volume is πr^h

Step-by-step explanation:

3.14*5*5*0.25 is 1962.5cm^2

in m^2 it would be 19.625

The cost of 7 scarves is $85.75. What is the unit price

Answers

Answer:

The cost of 1 scarf is $12.25 each.

Step-by-step explanation:

If the sum of the measures of the three angles shown is 163°, what is the measure of ZCEB? I need help ASAP!!!!

Answers

Answer:

24 degree

Step-by-step explanation:

sum of all three angles = 163

x + 4x + 2x + 5 - 10 = 163

7x - 5 = 163

7x = 163 + 5

x = 168/7

x = 24

Answer:

24 degree

Step-by-step explanation:

if f (x) = x² – 3, then find f (8) =

Answers

Answer:

61

Step-by-step explanation:

[tex]f(8)=8^2-3=64-3=61[/tex]

Examine this expanded form.

1
(a)(a)(a)(a)(a)(a)

Which is the expression in exponential form?
6-a
6a
a-6
6a-1

Answers

Answer:

*drumroll* It's C. a-6,babes <33

Step-by-step explanation:

Did this in Edge,hope it helps >3<

Answer:

C

Step-by-step explanation:

edge 2021

(3)
23
-1
2
0
d
2
e
4.
f
d =
e-
f=

Answers

Answer:

Step-by-step explanation:

this is the formula using a calculator hit 2nd then x^2 and the number you want then enter

Ada is making rice. The instructions call for 2 1/4 cups of water for 1 cup of rice. Ada is using only 1/3 cup of rice.

Answers

Answer:

3/4 cup of water

Step-by-step explanation:

2.25 (2 1/4) divided by 3 (or times 1/3) is 3/4

The required number of cups of water is 3/4 cups of water

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The number of cups of rice = 1 cup

The number of cups of water for making rice = 2 1/4 cups of water

So the equation for

The number of cups of water for 1/3 cups of rice =
Number of cups of water for making rice / 3

The number of cups of water for 1/3 cups of rice = 2 ( 1/4 ) / 3

                                                                                 = 9/4 / 3

                                                                                 = 3 / 4 cups of water

Therefore , the number is 3/4 cups of water

Hence , The required number of cups of water is 3/4 cups of water

To learn more about equations click :

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Question 1 of 5
What is the circumference of a circle with a diameter of 6 feet? Use 3.14 for tt.

A. 18.84 ft

B. 28.26 ft

C. 37.68 ft

D. 9.42 ft

Answers

The Answer for your problem is A

Answer:

The answer is A. 18.84

Step-by-step explanation:

Hope this helps =)

Which expression is equivalent to |a|≤5 ?


a ≥ –5 or a ≤ 5


a ≥ –5 and a ≤ 5


a ≤ –5 and a ≥ 5


a ≤ –5 or a ≥ 5

Answers

Answer:

The answer would be a>-5 or a< 5

Step-by-step explanation:

I hope this helps, let me know if i'm incorrect

Which coordinates represent a translation of B(1, 2) 3 units to the left and 2 units up?

B′(–2, 0)

B′(–2, 4)

B′(4, 4)

B′(4, 0)

Answers

Answer:

(-2,4)

Step-by-step explanation:

B(1,2)

(x-3, y+2)

1-3=-2

x=(-2)

2+2=4

y=4

Hope this helps! :)

Answer:

B'(-2, 4)

Step-by-step explanation:

If it goes 3 units left, that means you're doing x - 3.

If it goes 2 units up that means you're doing y + 2 This would be:

(1 - 3, 2 + 2)

(-2, 4)

Please help!


Given A= [2 -7 6 1] and B= [-9 5 1 -1]
IT X-A=B, what is X?

Answers

Answer:

Option A, Or Option 1

Step-by-step explanation:

-7 -2

7  0

I have to solve this
4x-5=2-x​

Answers

Answer:x=7/5

Step-by-step explanation:

Answer:

x= [tex]\frac{7}{\\5}[/tex]

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4x−5=2−x

4x+−5=2+−x

4x−5=−x+2

Step 2: Add x to both sides.

4x−5+x=−x+2+x

5x−5=2

Step 3: Add 5 to both sides.

5x−5+5=2+5

5x=7

Step 4: Divide both sides by 5.

[tex]\frac{5x}{5}[/tex]  = [tex]\frac{7}{5}[/tex]

How to find the volume of a cone?

Answers

Use the formula, R being for radius and H for height

help PLEASE!!! [URGENT]

Answers

The answer is c because its c

What is the fifth term in the expansion of (3x - 3y)??
X²4A

Answers

Answer:

4

Step-by-step explanation:

2x-y+8z=13
3x+4y+52=18
5x-2y-72=20​

Answers

Answer:

Answer is above (In the image).

Step-by-step explanation:

I am not sure if that is what you were looking for. To convert it to decimals, just input the figures into your calculator.

In my opinion the best way to solve these equations are elimination, therefore I will be giving my answer in this way!

2x-y+8z=13 1️⃣

3x+4y+52=182️⃣

5x-2y-72=203️⃣

We first combine liked terms in equation 2 and 3.

2️⃣turns into 3x+4y=-34 let's call it 2️⃣'

3️⃣turns into 5x-2y=92 let's call it 3️⃣'

Then solve for x

3️⃣'*2

10x-4y=184

3️⃣+2️⃣

13x=150

x=150/13

Now substitute the x back into equation 2️⃣'

3*150/13+4y=-34

450/13+4y=-442/13

4y=-892/13

2y=-446/13

y=-223/13

Now we can substitute this back into 1️⃣ to solve for z

2*150/13- - 223/13+8z=169/13

523/13+8z=169/13

8z=-354/13

4z=-177/13

z=-177/52

This problem is kind of messy so let me restate my answer!

x=150/13

y=-223/13

z=-177/52

I really hoped this is correct and it helped, and would appreciate it if you give me brainlliest! If you have any more questions about my solution please ask me in the comments!

Sofia made 10% of her free throws over the season. If she shot 160 free throws, how many did she make?

Answers

Answer:

16

Step-by-step explanation:

160 * 10% = 16

160 * 0.1 = 16

Having trouble solving this:

Answers

Answer:

option c.

1/100

.........................

Answer:

0.01= [tex]\frac{1}{100}[/tex]

3 A pair of vertical angles is formed as shown.
175°
(5x + 30)
Which best represents the value of ?
A 29
B 1
C31
D41

Answers

Its A 29 plug in each number in replacement of X

Answer:

A - 29

Step-by-step explanation:

5x + 30 = 175

5x +30 -30 = 175 - 30

5x = 145

5x ÷ 5 = 145 ÷ 5

X = 29

On a coordinate map of Melville, a restaurant is located at (-6,-5). A laundry business is located 3 units to
the left of the restaurant on the map.
What are the map coordinates of the laundry business?
The coordinates of the laundry business are

Answers

Answer:

(-9, -5)

Step-by-step explanation:

A person walks 1/3 of a mile every half hour. How far
would the person walk in 2
hours?

Answers

Answer:

1 1/3 miles

Step-by-step explanation:

1/3 is for a half-mile, so double it to 2/3 for one mile.

Now double it again for two hours.

2/3 + 2/3 = 1 1/3 miles in two hours

Answer:

The person will walk 1 1/3 miles in 2 hours.

Step-by-step explanation:

There are 4 half-hours in 2 hour

1/3*4=4/3 or 1 1/3 miles

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