Recall that Rn denotes the right-endpoint approximation using n rectangles, Ln denotes the left-endpoint approximation using n rectangles. Calculate the approximation for each of the given function and interval below. (You may use calculator and keep the final numerical answer in decimals for this question) (a) (3 pts) R5, f(x) = x 2 + x on the interval [−1, 1]

Answers

Answer 1

Answer:

[tex]R_5=1.12[/tex]

Step-by-step explanation:

We want to calculate the right-endpoint approximation (the right Riemann sum) for the function:

[tex]f(x)=x^2+x[/tex]

On the interval [-1, 1] using five equal rectangles.

Find the width of each rectangle:

[tex]\displaystyle \Delta x=\frac{1-(-1)}{5}=\frac{2}{5}[/tex]

List the x-coordinates starting with -1 and ending with 1 with increments of 2/5:

-1, -3/5, -1/5, 1/5, 3/5, 1.

Since we are find the right-hand approximation, we use the five coordinates on the right.

Evaluate the function for each value. This is shown in the table below.

Each area of each rectangle is its area (the y-value) times its width, which is a constant 2/5. Hence, the approximation for the area under the curve of the function f(x) over the interval [-1, 1] using five equal rectangles is:

[tex]\displaystyle R_5=\frac{2}{5}\left(-0.24+-0.16+0.24+0.96+2)= 1.12[/tex]

Recall That Rn Denotes The Right-endpoint Approximation Using N Rectangles, Ln Denotes The Left-endpoint

Related Questions

Nine years ago, Tarah opened a savings account with her bank. She started with a balance of $359 and has not made any withdrawals or deposits since then. If her interest rate is 8% each year, how much interest has accrued using simple interest?
What is Tarah's new total balance?

Answers

Answer:

$258.48

Step-by-step explanation:

Hurry. !!! The formula A = 6s' gives the surface
area A of a cube with a side length s.
What is the surface area of a cube that
has a side length of 5 inches?
A. 25 square inches
B. 125 square inches
C. 150 square inches
D. 300 square inches

Answers

Answer: A

Explanation: If the side length is 5, than 5•5=25

Find the distance of the two given points (1,5) and (4,10)

Answers

Answer:

5.831

Step-by-step explanation:

Distance between both given points=Lenght=5.831

HELP ME PLEASEEEEEEEEEEEEEEEEEEE

Answers

Answer:

The second answer choice

Step-by-step explanation:

The pyramid shown is a triangular pyramid. A triangular pyramid consist of 4 faces; 1 triangular base and 3 triangular lateral faces.

Hence, the correct answer would be the second choice.

Hey luvs!

The endpoints of AB are A(1,4) and B(5,-1). What are the coordinates of the point that divides AB in the ratio
2:3?

Answers

Answer:

I don't know I'm sorry.............

1. The ages of customers at a store are normally distributed with a mean of 45 years and a standard deviation of 13.8 years.
(a) What is the z-score for a customer that just turned 25 years old? Round to the nearest hundredth.
(b) Give an example of a customer age with a corresponding z-score greater than 2. Justify your answer.

Answers

Part (a)

The raw score is x = 25. The mean and standard deviation are mu = 45 and sigma = 13.8 respectively.

The z score is computed with the formula below

z = (x-mu)/sigma

z = (25-45)/13.8

z = -1.449275 approximately

z = -1.45 is the final answer

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

Part (b)

We want the z score to be larger than 2. So z > 2.

This is the same as wanting the expression (x-mu)/sigma to be larger than 2

(x-mu)/sigma > 2

(x-45)/13.8 > 2

x-45 > 2*13.8

x-45 > 27.6

x > 27.6+45

x > 72.6

If a customer's age is greater than 72.6 years, then this means they have a z score greater than 2. We can say they are more than 2 standard deviations above the mean.

If you need a whole number, then I'd round up to 73. Or you could pick any age larger than this.

A bag contains eight white marbles, six red marbles and four blue marbles.
How many blue marbles must be added to the bag so that the probability
of choosing a blue marble is 1/2?
a. 6
b. 5
c. 10
d. 0

Answers

Answer:

c) 10

Step-by-step explanation:

you need to add the white and red marbles which would be 14.

then you subtract 14 by the amount of blue marbles.

Help me guys find the solution please and thank you
4x+17=23

Answers

X = 1.50. Good luck!
The answer is: X = 1.5

I hope it’s helps you :)

Giving brainliest ; What is the mean of the data set? {20,1,14,14,9,8} Enter your answer in the box.

Answers

Answer:

11

Step-by-step explanation:

(20 + 1 + 14 + 14 + 9 + 8) / 6

= 66 / 6

= 11

Qu
Peter hired a cleaning company to clean his house. The cleaning company charges a
fixed fee of $15 plus $17 per hour to clean a house.
a. Write an equation that can be used to determine, c, the total amount in dollars that
the cleaning company charges to clean a house in h hours.

Answers

To find the total cost you need to multiply the hourly rate by the number of hours they work and add the fixed fee.

C = 17h + 15

Evaluate each series.
Help pls 50 points

Answers

Answer:

1. 2,555

2. 23.25

Step-by-step explanation:

1. 5+10+20+...

S9 = 5(2^9-1)/(2-1)

= 5(511) = 2,555

2. 12+6+3+1.5+0.75 = 23.25

Consider the triangle below

Answers

There is no picture

Matthew has a bag that contains orange chews, cherry chews, and lime chews. He
performs an experiment. Matthew randomly removes a chew from the bag, records
the result, and returns the chew to the bag. Matthew performs the experiment 24
times. The results are shown below:
A orange chew was selected 10 times.
A cherry chew was selected 11 times,
A lime chew was selected 3 times.

Answers

Answer: 13/24

Step-by-step explanation:

The experiment occurred 24 times orange or lime was selected 10+3=13

Probability the next chew will be orange or lime: 13/24

2. Use the image to answer the questions.
(a) What is the center and the radius of the circle?
(b) What are the equations of the circle in graphing form and in general form? Show your work.

Answers

Answer:

Center = (-1, 1)

Radius = 3

Graphing form

(x + 1)² + (y - 1)² = 3²

General form

x² + y² + 2x - 2y - 7 = 0

Step-by-step explanation:

Center = (-1, 1)

Radius = 3

Graphing form

(x + 1)² + (y - 1)² = 3²

General form   \Expand graphing form\

(x² + 2x + 1) + (y² - 2y + 1) - 9 = 0

Rearrange

x² + y² + 2x - 2y - 7 = 0

Based on the stated expectations of the sit-and-reach test, which of the following is TRUE?
A.
Men are generally more flexible than women.
B.
Women are generally more flexible than men.
C.
Men and women are about equally flexible.
D.
No broad conclusions can be drawn about flexibility.

Answers

Answer:

B

Step-by-step explanation:


write the percent of each figure
that is shaded.

Answers

Answer:

1. 21%   2.  70%

Step-by-step explanation:

1. 21 out of 100 are filled in

2. 7/10 are filled in

Jovi distributed 3(n+2) and got 3 x n + 3 x 6 is his answer correct

Answers

Answer:

Step-by-step explanation:

since 3 is outside the parenthesis (n + 2) you multiply the 3 by the n and the 2 and

3n + 6

next subtract the 6 and add the 6 to the other side

3n - 6 = 6

3n = 6

n = 2

Which angle has a positive measure?

Answers

Answer:

what angles

Step-by-step explanation:

i do not see anything to solve

In the diagram below, xy and z are tangent to 0. What is the measure of XZ?

Answers

Answer:

A. 130°

Step-by-step explanation:

Answer:130

Step-by-step explanation:

I just finished the quiz :)

I think it’s 393.75 But not Sure can anyone confirm ? Or share the right answer

Answers

Answer:

$415.63

Step-by-step explanation:

it would have been 393.75, but he worked 5 hours overtime and got paid time and a half for it, meaning his normal pay plus half of it. (only for overtime tho).

so first calculate his normal pay:

40 × 8.75 = 350

then add overtime to it

8.75 × 5 = 43.75

43.75 × 1.5 = 65.625

65.625 + 350 = 415.625

round that and its 415.63!

5th grade math. correct answer will be marked brainliest

Answers

The answer is b          

saddsadsadas

Answer:

B

Step-by-step explanation:

Cause he added 24.76 more pounds to the 3.6 pounds. So you can take 24+3=27 and you might think C, but 0.76+0.6 that equals more than 1, so 27+1=28, and B has 28 as its answer, so its B

B

2 4/5*1 1/12=
Help plz it’s for grade recovery

Answers

Answer:

3.03 (if you're rounding to nearest hundredth, 3 if nearest whole/tenth.

That’s really hard but i will find the answer give me one second please .

Divide. Give the quotient and remainder.
33 - 8
:))))

Answers

Answer: 9 remainder 2

Explanation: 9 is the closest 6 can get to 56 without going over. Since 9•6=54, and 56-54=2 , 2 is the remainder.
It would be 19.6 sile download photo math 12.4

Find the surface area and volume of the figure. Round to the nearest tenth.

Answers

surface area = 374 cm^2 and volume 384 cm^3. I think . try to go ok calculator.net

Solve for x.
x + 2 over 4 = 8​

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{x +2}{4}=8}[/tex]

[tex]\large\textsf{MULTIPLY 4 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{x +2}{4}\times4=8\times4}[/tex]

[tex]\large\textsf{CANCEL out: 4}\times\large\textsf{4.}[/tex]

[tex]\large\textsf{KEEP: 8}\times\large\textsf{4 because it helps you solve for x}[/tex]

[tex]\mathsf{8\times4=\bf 32}[/tex]

[tex]\large\text{New equation: \textsf{x + 32 = \bf 32}}[/tex]

[tex]\large\textsf{x + 2 = 32}[/tex]

[tex]\large\textsf{SUBTRACT 2 to BOTH SIDES}[/tex]

[tex]\mathsf{x +2-2=32-2}[/tex]

[tex]\large\textsf{CANCEL out: 2}-\large\textsf{2 because that gives you 0}[/tex]

[tex]\large\textsf{KEEP: 32}-\large\textsf{2 because that helps you solve for x}[/tex]

[tex]\large\textsf{New EQUATION: \mathsf{x = 32 - 2}}[/tex]

[tex]\mathsf{x = 32 - 2}[/tex]

[tex]\large\textsf{Simplify above and you have your result to this equation}[/tex]

[tex]\mathsf{32-2=\bf 30}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x =30}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

HELP WITH THIS ASAP!

Answers

Answer:

Hi, there your answer will C. 85pi ft^2

Step-by-step explanation:

pi(5)(12)+pi(5)^2

60pi+25pi

85pi ft^2

Hope this helps :)

please help, no links

Answers

Answer:

150

Step-by-step explanation:

Remark

The exterior angle = the sum of the two given interior angles. The first job is to solve for x and then use that to find the exterior angle.

Equation

83 + 6x + 7 = 15x              

Solution

Combine like terms

90 + 6x = 15x        Subtract 6x from both sides.

        6x     6x

90 = 9x                 Divide both sides by 9

90/9 = 9x/9

x = 10

Now the exterior angle = 15x

Exterior angle = 15*10

Exterior angle = 150

question number nine answer

Answers

Answer:9

Step-by-step explanation:

Answer:

I think it's either A or D

I will go potty now thx​

Answers

ummmm tmi but ok... 0-0

which equation is not a linear function:
y=2x
y=x+2
y=x-2
y=x²

Answers

Answer:

Step-by-step explanation:

A linear equation can be written in the form

y = mx+b.

y = x² is not linear.

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