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

12 out of 15 randomly selected
students in a class said they would vote
for Kim for class president.
Which is most likely true about all 35
students in the class?

Answers

Answer:

28 students would vote for kim

Step-by-step explanation:

Well first you do 12/15 which would be 0.8

Now to find how many students in that class said they would vote for Kim for class president, we multiply 0.8 by 35 to get that 28 students said they would vote for kim

Luis solves the following system of equations by elimination.
5s+ 3t = 30
2s+3t=-3
What is the value of s in the solution of the system?

Answers

the value of s is 11

Help please extra points

Answers

Answer:

The answer to the question provided is letter c.

An architect is reading a plan that is drawn on a scale of 0.65 inches to 1.25 ft. If the plan says that a room is 10 feet high, how high is the roof in the drawing?

9.19 inches.
5.2 inches.
8.13 inches.
19.23 inches.
Please help!!!

Answers

Answer:

5.2

Step-by-step explanation:

I took the Quiz.

If An architect is reading a plan that is drawn on a scale of 0.65 inches to 1.25 ft. If the plan says that a room is 10 feet high, then the roof is 8.13 high in the drawing.

What is fraction?

A fraction represents a part of a whole or, more generally, any number of equal parts.

Based on the given conditions formulate 1.25÷10=1+x

If the fraction is defined, the denominator cannot equal 0,x≠0

Append the inequality as the domain x≠0

Multiply both sides by the common denominator:

1.25×10x/10=10x/x

Reduce the fractions: 5x/4=10

5x=40

x=8

It is approximately near to 8.13 inches.

Hence, 8.13 inches high is the roof in the drawing.

To learn more on fractions click:

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Help here is an easy one

Answers

Answer:

x = 30°

Step-by-step explanation:

Given that,

∠A = x°

∠B = 2x°

∠C = 90°

We need to find the value of x.

We know that the sum of angles of a triangle is equal to 180°.

ATQ,

x° + 2x° + 90° = 180°

3x° = 180°-90°

3x° = 90°

x° = 30°

So, the value of x is 30°.

Answer:

3x+90=180

3x=90

x=30

Step-by-step explanation:

Which rule describes the translation?
y
5
B
С
O(x, y) - (x -8, y - 3)
O(x, y) = (x - 3, y + 8)
(x, y) + (x + 8, Y-3)
O (x, y) = (x + 3y + 8)
B'
C'
A
-5
D
A'
D'

Answers

Answer:

(x,y) -> (x + 8, y - 3)

Step-by-step explanation:

Move any point to the right 8 units, and down 3 units. You are just translating the shape, not dilating, reflecting, or rotating it.

8. Use the information in the table to write 5 ordered pairs that have cats as the input value
and dogs as the output value.

Answers

The answers for that question and probably many more are on this paper

A new car is purchased for 20000 dollars.The value of the cat depreciates at 12.5% per year.What will the value of the car be, to the nearest cent, after 11 years?

Answers

Answer:

$460.38

Step-by-step explanation:

Use the exponential decay formula, y = C(1 - r)^t

Plug in the original price, depreciation rate, and amount of time:

y = 20000(0.875)^11

y = 460.38

So, the car's value after 11 years will be $460.38

Up all the road 6 meters in 12 seconds. What is the speed?​

Answers

Step-by-step explanation:

speed = distance/time

= 6/12 m/s

= 0.5 m/s

Answer:

0.5m/s

Step-by-step explanation:

Formula for speed is distance /time taken

which is 6m/12s,which Is then equal to0.5m/s

If a pound of turkey costs ​$0.82, how much will n pounds​ cost?

Answers

$0.82n is the answer

Evaluate x divided by y if x = 3 1/2 and y = 3/4

Answers

Answer:

4 2/3

Step-by-step explanation:

hope this helps

Help please I will Brainly

Answers

Answer:

we have the same computer

Step-by-step explanation:

Answer:

[tex]114\:\mathrm{yd^2}[/tex]

Step-by-step explanation:

The composite shape consist of two rectangles. We can find the area of these two rectangles and add them to get our answer:

[tex]10\cdot9+6\cdot 4= 90+24=\fbox{$114\:\mathrm{yd^2}$}[/tex].

Can someone please answer 1 for me? Whoever can answer gets brainliest

Answers

ANSWER
Day 1 he gets $7
Day 2 he gets $14
Day 3 he gets $21

EXPLANATION:

add 7 to each day!
Hope that helps <3

A petri dish has 10, 000 bacteria in it. After 4 hours the bacteria’s population increased to 20,000. If the number of colonies grows exponentially, write a formula for the number of bacteria in the dish at any time t, where t is in hours

Answers

Answer:

[tex]P(t) = 10000e^{0.1733t}[/tex]

Step-by-step explanation:

The population of bacteria grows exponentially, which means that it can be represented by a function in the following format:

[tex]P(t) = P(0)e^{rt}[/tex]

In which P(0) is the initial population and r is the growth rate.

A petri dish has 10, 000 bacteria in it.

This means that [tex]P(0) = 10000[/tex]. So

[tex]P(t) = 10000e^{rt}[/tex]

After 4 hours the bacteria’s population increased to 20,000.

This means that [tex]P(4) = 20000[/tex], and we use this to find the growth rate. So

[tex]P(t) = 10000e^{rt}[/tex]

[tex]20000 = 10000e^{4r}[/tex]

[tex]e^{4r} = \frac{20000}{10000}[/tex]

[tex]e^{4r} = 2[/tex]

[tex]\ln{e^{4r}} = \ln{2}[/tex]

[tex]4r = \ln{2}[/tex]

[tex]r = \frac{\ln{2}}{4}[/tex]

[tex]r = 0.1733[/tex]

So, the formula is given by:

[tex]P(t) = 10000e^{0.1733t}[/tex]

Guys i actually need help​

Answers

Answer:

Rotation

Step-by-step explanation:

Answer:

That is just rotation.

Step-by-step explanation:

It is rotation because if you were to spin it to the right on a 57 degree it will be that angle.

It also not the others because if you were to put reflection that would it would the opposite.

Explain why the expressions 8x(6-4) and 8x6-4 do not have the same value even though they look very similar? HELP!! PLEASE EXPLAIN IT IN 2 complete sentences. (ITS ALGEBRA)

Answers

Answer:

Because 8x6 gives you the same figure.

Step-by-step explanation:

This expression 8x(6-4) has bracket. When you solve it you need to do in bracket first then do outside. 8x(6-4)=8x2=16
This expression 8x6-4 doesn’t has bracket so you need to do x and / first then you do + and -
8x6-4=48-4=44

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

The answer to the question provided is 14.4 ft.

Step-by-step explanation:

We can solve this using proportion!

[tex] \frac{18}{x} = \frac{10}{8} \\ \\ \frac{10x}{10} = \frac{144}{10} \\ \\ x = 14.4[/tex]

An initial population of 800 endangered birds doubles each year. How many birds will there be in 18 months

Answers

14,400 because 800 times 18 is 14,400

Angie has $1,900 in her savings account. If the bank pays 5% simple interest on savings, What is the total amount of money she will have in her account after 5 years?

Answers

Answer:

$19,000 after five years

Step-by-step explanation:

1900 * .5 = 3800    one year

5 * 3800 = 19,000

Find the slope of the line through each pair of point
11. (-4, -3) and (7, 1)
12. (-2, -1) and (8, -3)

Answers

Answer:

11) 4/11

12) -0.2

Step-by-step explanation:

x + 6 >10 or 3x + 11 ≤ −7

Answers

Answer:

x>4 or x≤-6

Step-by-step explanation:

x+6>10 or 3x+11≤-7

x>4 or 3x≤-18

x>4 or x≤-6

CUCU
3) Which function represents the sequence? 45, 40, 35, 30, 25,-
OA) f(x) = 45x -5
OB) f(x) = 45 - 5(x - 1)
OC) f(x) = 5 - 45(x - 1)
OD) f(x) = 5x + 45
Save
Not Graded
AEDc0
9:28 AM
116/2021
1

Answers

Answer:

B

Step-by-step explanation:

well, the sequence are in the form

[tex]a1, a2, a3, a4, a5, ... , an[/tex]

a1 = first term = 45

you can plug 1 to any of the option

and ended with B the only function that satisfies what we need

PLEASE HELP
Simplify the expression 5^3+3(5-3)
A.137
B.131
C.27
D.21

Answers

Answer:

the correct answer is 131

Step-by-step explanation:

5^3 +3(2)

= 125 +6

=131

Find the sum of 2x2 – 8x — 6 and 9x2 – 8.
Answer:
Submit Answer

Answers

Answer:f

( x ) = x ,  g ( x ) = x 3 − 1 f ( x ) = x 4 + x 3 − 11 x 2 − 5 x + 30 ,  g ( x ) = 2 x − 2 f ( x ) = x 2 ,  g ( x ) = 7 x − 1

in short ways the answer is  7 x − 1

Hence , the sum is [tex]11x^2-8x-14[/tex].

WHAT IS A POLYNOMIAL

In mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

How to Solve?

Given , we need to add [tex]2x^2-8x-6[/tex] and [tex]9x^2-8[/tex].

So, we can write it as :

[tex]2x^2 -8x-6+9x^2-8[/tex]

Writing like terms together:

[tex]= 2x^2+9x^2-8x-6-8[/tex]

[tex]=11x^2-8x-14[/tex]

Hence , the answer is [tex]11x^2-8x-14[/tex].

Learn more about Algebraic expressions :

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If the ratio between boys and girls is 3 to 2 if there are 12 boys how many girls are there

Answers

Answer:

the ratio is 12:8 boys to girls

Step-by-step explanation:

if the amount of boys is 12 then multiply the 3 by 4 and using distribution multiply the 2 by 4 as well to get 8 girls

Ryan has two jobs. He earns $9 per hour for x hours babysitting his cousins and he earns $18 per hour for y hours working at the coffee shop. Ryan will work both jobs. He is able to work no more than 10 hours a week, due to school commitments. Ryan wants to earn at least $72 a week, working a combination of both jobs.

Answers

Answer:

Umm I don't think you wrote out the whole question...

Step-by-step explanation:

$18 nine hours, $9 one hour = $177

$18 eight hours, $9 two hours = $162

$18 seven hours, $9 three hours = $153

$18 six hours, $9 four hours = $144

$18 five hours, $9 five hours = $135

$18 four hours, $9 six hours = $126

$18 three hours, $9 seven hours = $117

$18 two hours, $9 eight hours = $108

$18 one hour, $9 nine hours = $99

A self-serve frozen yogurt store made these graphs to study the data collected about its customers' purchases. Which statement is true?

Answers

Answer:

C (yogurt sales had a decresing trend)

Step-by-step explanation:

so because if you look over other staistics they are not true and this one is

The yogurt sales has been decreasing in the last four months of 2011, the correct option is C.

What is a Graph?

Graph is a mathematical representation of relation between two objects.

The pie chart, line graph and the data table has to be studies to answer about the trend that is followed for the customer purchases of ice creams and yogurt.

The yogurt sales has been decreasing in the last four months of 2011.

To know more about Graph

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Draw 2 lines to cut each triangle into the given shapes. 1 pentagon and 2 triangles

Answers

Answer:

cut the two lines at the corner, don't let the lines touch

Step-by-step explanation:

Two lines are drawn at corner of a big triangle and lines should not touch each other

Pentagon & TriangleAny quadrilateral which has five sides is known as pentagonAny quadrilateral which has three sides is known as triangle

What are the steps to draw?

Steps to draw the Pentagon & Triangle are as follow:

First draw one big triangleAfter that from right corner of big triangle mark point on two sides of triangle and draw line passing through this pointsRepeat step 2 from left corner

So two triangle and one pentagon is produced

Learn more about Pentagon & Triangle here:

https://brainly.com/question/19596085

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In exponential growth functions, the base of the exponent must be greater than 1. How would the function change if the base of the exponent were 1? How would the function change if the base of the exponent were between 0 and 1?


Sample Response: If the base of the exponent were 1, the function would remain constant. The graph would be a horizontal line. If the base of the exponent were less than 1, but greater than 0, the function would be decreasing.

What did you include in your response? Check all that apply.

If the base were 1, the function would be constant.
If the base were 1, the graph would be a horizontal line.
If the base were between 0 and 1, the function would be decreasing.

Answers

Answer:

How would the function change if the base of the exponent were between 0 and 1? If the base of the exponent were 1, the function would remain constant. The graph would be a horizontal line. If the base of the exponent were less than 1, but greater than 0, the function would be decreasing.

Step-by-step explanation:

A company will lend Maya’s older sister $4,000. Every month, she will pay $11.88 in interest. What is the interest rate, rounded to the nearest tenth of a percent, for 1 year?

Answers

Answer:

120 i think

Step-by-step explanation:

$11.88 rounded to the nearest tenth is 10 and there are 12 months in one year and 10 times 12 is 120

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