Let Ln denote the left-endpoint sum using n subintervals and let Rn denote the corresponding right-endpoint sum. In the following exercise, compute the indicated left and right sums for the given function on the indicated interval.
L4 for f(x)=1/x−1; [2,3]

Answers

Answer 1

Answer:

[tex]L_4=0.7595[/tex]

Step-by-step explanation:

We are given that

[tex]f(x)=\frac{1}{x-1},[/tex][2,3]

We have to find L4

It means n=4

[tex]\Delta x=\frac{b-a}{n}=\frac{3-2}{4}=\frac{1}{4}=0.25[/tex]

Now, intervals are

[2,2.25],[2.25,2.50],[2.5,2.75],[2.75,3]

Now,

[tex]L_4=f(x_0)\Delta x+f(x_1)\Delta x+f(x_2)\Delta x+f(x_3)\Delta x[/tex]

[tex]L_4=\frac{1}{2-1}(0.25)+\frac{1}{2.25-1}(0.25)+\frac{1}{2.5-1}(0.25)+\frac{1}{2.75-1}(0.25)[/tex]

[tex]L_4=0.7595[/tex]


Related Questions

orapns of Polynomial Functions
Question 10 of 10
Which of the following is an x-intercept of the function, f(x) = x2 -5x2 - 8x +48
?
A. -4
o
B. 4
C. -2
O
D. 2

Answers

Answer:

Option B: 4

Step-by-step explanation:

From the image, the correct function is;

f(x) = x³ -5x² - 8x + 48

Now, the x-intercept occurs when y = 0.

Thus;

x³ - 5x² - 8x + 48 = 0

So we are looking for values of x that will make y = 0.

Let's try the options;

Let's try x = -4;

(-4)³ - 5(-4)² - 8(-4) + 48 = -64 - 80 + 32 + 48 = -64 ≠ 0

So, x = -4 is not an x - intercept

Let's try x = 4;

(4)³ - 5(4)² - 8(4) + 48 = 64 - 80 - 32 + 48 = 0

So,x = 4 is an x-intercept

Let's try x = - 2;

(-2)³ - 5(-2)² - 8(-2) + 48 = -8 - 20 + 16 + 48 = 36 ≠ 0.

So, x = -2 is not an x-intercept.

Let's try x = 2;

(2)³ - 5(2)² - 8(2) + 48 = 8 - 20 - 16 + 48 = 20 ≠ 0

So, x = 2 is not an x-intercept

the mass of earth is approximately 5.9x10^24 kg, and the mass of venus is approximately 4.9x10^24 kg. find their combined mass

Answers

Answer:

28.91×10^48

hope it helps.

Because they both have the same exponent, just add the numbers together:

5.9 + 4.9 = 10.8

So now you have:

5.9 x 10^24 + 4.9 x 10^24 = 10.8 x 10^24

A scientific number can only have 1 number to the left of the decimal, so you need to move the decimal one place to the left. When you move the decimal to the left you add to the exponent.

The answer is: 1.08 x 10^25

i’ll give brainliest!!!

Answers

-2/3 is equal to -6/9 while -5/9 is less than -2/3.

Me ayudan porfavor no entendí

Answers

¿Qué no entiendes para que pueda ayudarte?

Answer:

Como puedo ayudar?

Step-by-step explanation:

Here is an addition sentence:

(3 + 4) + 2 = 9

Drag the numbers and the parentheses to create an equivalent addition sentence that illustrates the associative property of addition.

Answers

Answer:

the answer is 9

Step-by-step explanation:3+4=7+2=9

Answer: 4+(2+3)=9

Step-by-step explanation:

No matter where you move the parentheses it will always equal the same.

Please Help realy I need it

Answers

the t shirts cost $3 more than tank tops

A rectangular garden has a perimeter of 50cm. The length of one side is 15cm. What is the measurement of the width?​

Answers

Answer:

The measurement of the width is 10cm.

Roberto is going to the zoo! The entrance fee is $25 and each souvenir costs $3.75. He
has $40. Roberto thinks that this inequality could be use to find the number of souvenirs
he can purchase. Is he correct?
3.755 + 25 < 40
No the inequality symbol should be greater than or equal to
No it should be minus 25
No the letters should be next to the 25
yes this is correct

Answers

Answer:

yes this is correct

Step-by-step explanation:

yeah im pretty sure this is correct. im in middle school- so i have no idea what grade level this is

Justin did push-ups every weekday this week.
He did 8 push-ups on Monday, 14 push-ups
on Tuesday, 18 push-ups on Wednesday, 6
push-ups on Thursday, and 8 push-ups on
Friday,
Find the mean number of push-ups.

Answers

Answer:

10.8

Step-by-step explanation:

8+14+18+6+8=54

54/5=10.8

Answer:

18

Step-by-step explanation:

The maximum number of push-ups that Justin did in a day this week was 18.

I also literally just did it

So I don't know why the guy above me has it correct, I mean someone said tysm so I guess he's correct ;/

halona walks 1.93 kilometers in 23 minutes, assuming constant speed write a proportion that represents how many kilometers in x minutes

Answers

Dividing 1.93km by 23 minutes, you get 0.083 km per minute, or 5.03 km per hour

Use the theoretical method to determine the probability of the following outcome and event. State any assumptions made.
Tossing two coins and getting either one head or two heads
Choose the correct answer below.

Answers

Answer:

Assuming that each coin is fair and is equally likely to land heads or​ tails, the probability is 3/4.

Determine which line best represents the line of best fit:
○ Line 1
○ Line 2
○ Line 3​

Answers

3 Is the right answer


In one online store, 12% of the orders are placed by new customers. Let N be the number of orders
placed in a day to reach the store's first new customer. Assume each order's customer status is
independent
Find the mean and standard deviation of N.
Round your answers to one decimal place.
Mean:
orders
Standard deviation:
orders

Answers

Answer:

Mean= 8.3

Standard deviation=7.8

Step-by-step explanation:

What is 0.672 in a  percent pls help

Answers

Answer:

67.2% or if your rounding to a whole number it’s 67%

Step-by-step explanation:

Move the dot (decimal) over 2 digits to the right —>

What is the next term of the arithmetic sequence? -4,-9,-14,-19,

Answers

-24 is the next term.

Answer:

-24

Step-by-step explanation:

You add -5

Hope this helps you :)

You drove 360 miles in 6 hours. How many miles did you drive per per hour?​

Answers

Answer:

60 miles per hour

Step-by-step explanation:

if you divide 360 by 6 you will get 60

Answer:

60 miles

Step-by-step explanation:

Your answer should be 60 miles. If you divide 360 by 6 it will give you 60.

If you would like to check your answer you can multiply 60*6 which will give you 360.

help me please!!!


..

Answers

Step-by-step explanation:

HERE,

as,it is a right angle triangle,

x=[tex]\tt{\sqrt{8^2+6^2} }[/tex]

[tex]\tt{ x=\sqrt{64+36} }[/tex]

[tex]\tt{ x=\sqrt{100} }[/tex]

[tex]\tt{x=10km. }[/tex]

The angle of depression between the top of a 100-foot cliff and a ship approaching the shore is 37. What is the approximate distance, d, between the bottom of the cliff and the ship?

Answers

Answer:

76 feet

Step-by-step explanation:

let 'd' = distance from bottom of cliff and ship

sin 37 = sin 53

    d           100

0.61 = 0.8

  d         100

cross-multiply:    61 = .8d

                            d = 76

I assumed the bottom of the cliff and the shore formed a 90 degree angle - which leaves the 37° angle and a 53° angle

You get your hair done for $56.00 and you tip the hairdresser 20%. How much is your tip? 
A.$76.00
B. $67.20
C.$11.20
D.$20.00 ​

Answers

You get your hair done for $56.00 and you tip the hairdresser $20.00(D)

You have to subtract 56 from 20% than round the answer to the neared tenth.

Find the exact value of each of the remaining trigonometric functions of theta when tan theta = -3/4

Answers

Step-by-step explanation:

sinΘ=-3,cosΘ=4,cotΘ=-4/3,secΘ=1/4 & cosecΘ=-1/3

round to the nearest hundredth if so. Use 3.14 as pi
8. r=
d =
C=78.8 ft​

Answers

Answer: The radius is 12.54 feet, and the diameter is 25.08 feet.

Explanation: By applying the circumference into the equation r = [tex]\frac{C}{2\pi }[/tex], we get r = [tex]\frac{78.8}{2\pi }[/tex]which simplifies the radius. And since radius is half of diameter, we multiply by 2 to get the diameter as well to solve the other blank in the problem.

Hope this helps! :D

Use the​ four-step method in problem-solving to solve the problem.

Ashley owns 14 acres of land which she rents to a Timber grower for $3131 per acre per year. Her property taxes are $882 per acre per year. How much profit does she make on the land each​ year?
A. $56,182
B. $42,952
C. $31,486
D. $44,716

Answers

Answer:

A. $56,182

Step-by-step explanation:

$3131 x 14= $43834

$882 x 14= $12348

$43834 + $12348= $56,182

$56,182 x 1=  $56,182

Which equation represent:
"An unknown number increased by five is 12."

Answers

X+5=12 is the expression.

what is 117 ÷12 equal ​

Answers

Answer:

9.75

Step-by-step explanation:

Which expressions are equivalent to the expression 30x^2-5x-10

Answers

Answer:

10 (3 x - 1)

Step-by-step explanation:

Answer:

6 is equivalent as well as option 3

Fredrick is making a graph that contains the ordered pairs (0,3),(3,2),(2,1) and (0,0). Will his graph represent a function ?

Answers

No, his graph will not represent a function. A function can not have repeating x-values and in this case, 0 is repeated twice! :)

The Quick Change Oil Company has a number of outlets in the metropolitan Seattle area. The daily number of oil changes at the Oak Street outlet in the past 20 days are:




65 98 55 62 79 59 51 90 72 56
70 62 66 80 94 79 63 73 71 85

The data are to be organized into a frequency distribution.



Click here for the Excel Data File



How many classes would you recommend?





Organize the number of oil changes into a frequency distribution. (Round "Relative frequency" answers to 2 decimal places.)

Answers

Answer: 5 classes.

Step-by-step explanation:

You can use the  rule to determine the number of classes for a frequency distribution.

The  rule says that  where

is the number of classes

is the number of the data points

We know that the number of data points is  = 20.

Next, we start searching for  so that we can get a number 2 to the  that is larger that the number of data points.

This suggests that you should use 5 classes.

ill give you brainlest pls help

Answers

Answer:

A. m<R, m<S, m<Q

Step-by-step explanation:

In a triangle, the length of each side determines the size of the angle opposite it. Thus, the longer the side, the bigger the size of the angle opposite it. The shorter the side, the smaller the size of the angle opposite it.

In ∆QRS, we have the following:

✔️The longest side is RS = 16. <Q is opposite to RS, therefore <Q is the largest angle.

✔️The medium side is QR = 15. <S is opposite to QR, therefore <S is the medium angle.

✔️The shortest side is SQ = 9. <R is opposite to SQ, therefore <R is the smallest angle.

From smallest to the largest we would have:

m<R, m<S, m<Q

What is the pattern for 784.5, 78.45, 7.845 what comes next

Answers

Answer:

.7845

Step-by-step explanation:

517 37/50 + 312 3/100

Answers

Answer: 829 3/4 or 829 75/100

Step-by-step explanation:

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