se upper and lower sums to approximate the area of the given region and given number of subintervals.
1. = from x=0 to x=1 with 4 subintervals.
2. = 4― from x=0 to x=2 with 4 subintervals.
3. = 1
from x=1 to x=2 with 5 subintervals.

Se Upper And Lower Sums To Approximate The Area Of The Given Region And Given Number Of Subintervals.1.

Answers

Answer 1

The estimated areas are listed below:

The area of the function is approximately 0.806.The area of the function is approximately 2.088.The area of the function is approximately 0.696.

How to approximate the area of a given region with a given number of subintervals

Right Riemann sum based on trapezoids offer a compact method that combines upper and lower sums, which is defined below:

[tex]A = \frac{b-a}{2\cdot n}\cdot \sum_{i = 0}^{n-1} [f(x_{i})+f(x_{i+1})][/tex]   (1)

Where:

b - Upper bounda - Lower boundn - Number of subintervalsi - Subinterval index

In this question we must apply right Riemann sums to estimate the areas of functions on given intervals. Now we proceed to solve each case below:

Case I ([tex]f(x) = \sqrt{x}[/tex], [tex]a = 0[/tex], [tex]b = 1[/tex], [tex]n = 4[/tex])

[tex]A = \frac{1-0}{2\cdot (4)} \cdot [(0+\sqrt{0.5})+(\sqrt{0.5} + 1)+(1+\sqrt{1.5})+(\sqrt{1.5}+2)][/tex]

A ≈ 0.806

The area of the function is approximately 0.806. [tex]\blacksquare[/tex]

Case II ([tex]f(x) = 4\cdot e^{-x}[/tex], [tex]a = 0[/tex], [tex]b = 2[/tex], [tex]n = 4[/tex])

[tex]A = \frac{2-0}{2\cdot (4)}\cdot [(4+1.472)+(1.472+0.541)+(0.541+0.199)+(0.199-0.073)][/tex]

A ≈ 2.088

The area of the function is approximately 2.088. [tex]\blacksquare[/tex]

Case III ([tex]f(x) = \frac{1}{x}[/tex], [tex]a = 1[/tex], [tex]b = 2[/tex], [tex]n = 5[/tex])

[tex]A = \frac{2-1}{2\cdot (5)} \cdot [(1+0.833)+(0.833+0.714)+(0.714+0.625)+(0.625+0.556)+(0.556+0.5)][/tex]

A ≈ 0.696

The area of the function is approximately 0.696. [tex]\blacksquare[/tex]

To learn more on Riemann sums, we kindly invite to check this verified question: https://brainly.com/question/21847158


Related Questions

Four eggs are required to make two duzzen muffins. how many eggs are needed to make 5 dozen muffins

Answers

Answer:

20 eggs

Step-by-step explanation:

4 = 24 muffins

4*5 = 20

20 = 60 muffins

Good Luck!

Set up a system of equations for the given word problem:

Tyrone placed two orders with a nursery. The first order was for 10 bushes and 6 trees, which totaled $568. The second order was for 9 bushes and 3 trees, which totaled $348.

-

Set up a system of equations for the given word problem:

The admission fee at a small fair is $3.50 for children and $6.00 for adults. On a certain day, 1500 people enter the fair and $7,580 is collected.

Answers

Answer:

For the first problem:

10b + 6t = 568

9b + 3t = 348

For the second problem:

c + a = 1500

3.50c + 6a = 7580

Last one, I promise!!! ._.

19x+28=20x-53

Answers

Answer:

x = 81

Step-by-step explanation:

Given:

[tex]\displaystyle \large{19x+28=20x-53}[/tex]

Subtract both sides by 28:

[tex]\displaystyle \large{19x+28-28=20x-53-28}\\\displaystyle \large{19x=20x-81}[/tex]

Subtract both sides by 19x:

[tex]\displaystyle \large{19x-19x=20x-81-19x}\\\displaystyle \large{0=x-81}[/tex]

Add both sides by 81:

[tex]\displaystyle \large{0+81=x-81+81}\\\displaystyle \large{81=x}\\\displaystyle \large{\therefore x=81}[/tex]

Therefore, the solution is x = 81

Let me know if you have any questions!

[tex]{\boxed{\mathfrak{✿ฺSolution :}}} [/tex]

[tex] \bold{ 19x+28 = 20 x - 53 }[/tex]

[tex] \bold{ 19x+28 - 28 =20x - 53 - 28}[/tex]

[tex]\bold{ 19x = 20x - 81 }[/tex]

[tex]\bold{ 19x - 20x = 20x - 81 - 20x }[/tex]

[tex]\bold{ -x = - 81 }[/tex]

[tex]\bold{ \frac{ - x}{ - 1} = \frac{ - 81}{ - 1} }[/tex]

[tex] \bold{ x = 81 }[/tex]

To which family does the function y = (x 2) superscript one-half baseline 3 belong? quadratic square root exponential reciprocal

Answers

The function y = √(x + 2) + 3 is a quadratic function. Then the correct optin is A.

What is a quadratic equation?

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

The equation is given below.

[tex]y = (x+2)^{1/2} + 3[/tex]

The equation can be written as

[tex]y - 3= (x+2)^{1/2}[/tex]

Square on both sides, we have

[tex]\begin{aligned} (y - 3)^2 &= [(x+2)^{1/2}]^2 \\\\x + 2 &= y^2 + 9 -6y \\\\x &= y^2 -6y +7 \end{aligned}[/tex]

The equation is a quadratic equation.

More about the quadratic equation link is given below.

https://brainly.com/question/2263981

Answer:

A) Quadratic

Explanation:

Hope you have a great day!

HELPPP!!!! URGENTT!!!!

Answers

Answer:

The answer is the 1

Step-by-step explanation:

She has a less chance because there are 4 questions with 4 answers so that decreased her chances.

-8 . (-10+(-7))
Please help im stuck on this.

Answers

Answer:

136.

Step-by-step explanation:

-8 . (-10+(-7))

= -8*-10 + - 8*-7

= 80 + 56

= 136.

Please help!! thanks! ​

Answers

Answer:

C. (5, 1)

Step-by-step explanation:

Because the slope of F and G is 2, we know that the other points with the same distance are also going to have a slope of ±2. The only answer choice that fits this criteria is C

Hope this helps!

C.) (5,1) because we know the distance of F and G is 2 and if we graph (5,1) you would see the distance from F is 2

If b= 110 degrees and a= 50 degrees, what is the value of x?

Answers

I think you're question is incomplete or is missing an attachment.

PLEASE HELP! I WILL GIVE BRAINLIEST AND NO LINKS PLEASE!

Answers

Answer:

Your answer would be the first one, 7/8 and 0.92, because they are only ones greater than 5/7 the rest equal under 5/7

Answer:

The two solutions: 7/8 & 0.92

Step-by-step explanation:

[tex]\frac{5}{7} =0.714[/tex]

7/8 = 0.875,  because 0.875 [tex]\geq 0.714[/tex]

0.92 because [tex]\geq[/tex] 0.714

Hope this helps


PLEASE HELP ME OUT AND PLEASE

Answers

Answer:

65⁰ because the opposite angles of parallelogram are equal...

im stuck hahahahahahha lol

Answers

Answer:

r=53 degrees

______

yan po

What is the domain and range?

Answers

Answer: domain: [-6,6] range: [-4,3]

Step-by-step explanation: domain is the smallest to biggest x value range is the smallest to biggest y value

i need help with #7 c and d

Answers

Answer:

  c. 33.0%

  d. 14.5%

Step-by-step explanation:

For answering questions about percentages in different categories or combinations of categories, it is convenient to find the totals of rows and columns in the table. These totals are shown in the attached.

__

c.

Students who surf total 32+65 = 97. Of those, 32 also skateboard. The requested percentage is ...

  32/97 × 100% ≈ 33.0% . . . . surfers who also skateboard

__

d.

The total number of students is 166. Of those, the number who neither surf nor skateboard is 24. That percentage is ...

  24/166 × 100% ≈ 14.5% . . . . students who don't surf or skateboard

_____

Additional comment

a. 97/166 ≈ 58.4% surf

b. 89/166 ≈ 53.6% do not skateboard

__

This sort of table is called a "two-way table." One set of categories is represented in rows, another set is represented in columns. This table is filled with frequencies. Such tables can also display relative frequencies by dividing the entire table by the total of totals in the lower right corner.

The first three and last terms of an arithmetic sequence are 7, 13, 19,..., 1357.
(a) Find the common difference.

Answers

Answer:

6

Step-by-step explanation:

common difference = (n + 1) - nth term = 13 - 7 =6

Answer:

subtract 6 every time

Step-by-step explanation:

you subtract first term from second term

if A(x) = -x^2 + 4, B(x) = -3x - 4, and C(x) = 5x^2 + 2x, form a simplified expression for A(x) + B(x) + C(x).

Answers

Answer:

5x² - x - 4

Step-by-step explanation:

B(x) + C(x)

= - 3x - 4 + 5x² + 2x ← collect like terms

= 5x² - x - 4


x/-6-8> -12

PLEASE HELP AND SOLVE

Answers

Answer:

24

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

x=24

Find the missing angle

Answers

Answer:

68 degrees.

Step-by-step explanation:

A right angle is 90 degrees. If you subtract 90-22 you will get 68.

90 equals the angle a plus 22.
So a equals 90-22 which is 68.
This is about 3 times the angle of 22. This make sense visually.
Mark as best!

Write 23/12 as a mixed number.

Answers

Hey there!

23/12
= 23/1 ÷ 12/1

= 23/1 × 1/12

= 23(1) × 1(12)

= 23/12

≈ 1 11/12


Those steps above are somewhat easier to solving your given equation!


Anyways, your answer is: 1 11/12


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Answer:

the answer is 1 11/12

Step-by-step explanation:

we know that 23 can fit once into 12,
so we can subtract 23 by 12 to get 11
now, we have 1 11/12

1 11/12

2x+5y < 19 and x-2y <-9
Solve the system of equation and graph it.

Answers

Answer:

  see attached

Step-by-step explanation:

The boundary lines and solution region are shown on the attached graph. It is convenient to let a graphing calculator plot them.

__

If you'd like to plot the boundary lines by hand, it is useful to note the equations for them are in standard form:

  ax +by = c

This means the slope is m = -a/b, and the y-intercept is c/b. Here, the odd constant values mean that (most) intercepts will involve fractions.

2x+5y<19

  slope: -2/5

  y-intercept: 19/5 = 3.8

  points on the line: (7, 1), (2, 3)

The general form ...

  x < ( ) . . . . means the line is dashed and shading is to the left.

__

x-2y<-9

  slope: 1/2

  y-intercept: 9/2 = 4.5

  points on the line: (1, 5), (-3, 3)

The general form ...

  x < ( ) . . . . means the line is dashed and shading is to the left.

__

Solution Region

The lines have slopes of opposite signs, so cross in a fashion that forms an "X" on the graph. Shading is left of both lines, so will be in the left quadrant of the X. The boundary lines are not part of the solution region.

_____

Additional comments

The boundary line will be solid when the inequalitiy includes the "or equal to" case. This is identified by the symbols ≤ or ≥. Here, we have the symbol <, which does not include the "or equal to" case, so the boundary line is dashed. (The same would be true for an inequality using >.)

To determine shading direction, it is convenient to pick a variable with a positive coefficient, and look at its relation to the inequality symbol. In the first inequality, we could choose either of ...

x < ( ) . . . . . shading left of the dashed liney < ( ) . . . . . shading below the dashed line

__

In the second inequality, the only variable with a positive coefficient is x, and its relation to the inequality symbol is ...

x < ( ) . . . . . shading left of the dashed line

If we were to rewrite the second inequality to give the y-variable a positive coefficient, we could get either of ...

y > ( ) . . . . . multiply by -1/2( ) < y . . . . . add the opposite of the y-term

Either way, the shading is above the dashed line.

__

About points on the line:

The inequalities have odd constants (19, -9) and coefficients with different parity (one even, one odd). That makes it convenient to choose an odd value for the variable with the odd coefficient. The result will be an integer value for the variable with the even coefficient.

The figure below is made up of unit cubes that each have a volume of 1 cubic centimeter.

A. 7
B. 9
C. 11
D. 13



HELP PLEASE​

Answers

Answer:

c. 11

Step-by-step explanation:

Bottom row: 6 cubes

middle row: 4 cubes

top row: 1 cube

11 cubes total.

A tortoises walking in the desert it walks for six minutes at a speed of 7.68 m per minute. For how many meters does it walk

Answers

Answer:

It walks 46.08 meters

Step-by-step explanation:

It states that the toriose's speed is 7.68 m per minute, all we have to do is 7.68 m per minute times 6 minutes.

7.68 * 6 = 46.08

It walks 46.08 meters

Nicholas bought 776.25 ounces of chocolate. 213.46 ounces of it was milk chocolate and the rest was dark chocolate. How much dark chocolate did Nicholas buy?

Answers

562.79 ounces

Step-by-step explanation:
The amount of dark chocolate that Nicholas bought will be:
= 776.25 - 213.46
= 562.79 ounces

A cylinder has a radius of 19 millimeters. Its volume is 22,670.8 cubic millimeters. What is the height of the cylinder?

Answers

Answer:

19.99

Step-by-step explanation:

use the formula

[tex]\pi {r}^{2} h = v[/tex]

change it up so that you solve for height

[tex] \frac{v}{ {r}^{2} \times \pi } = h[/tex]

substitute values in and solve

Answer:

20.00 mm to the nearest hundredth.

Step-by-step explanation:

V = π r^2 h

22,670.8 = π * 19^2 * h

h =  22,670.8 /  π * 19^2

= 22,670.8 / 1134.115

= 19.9899

Please help me on this equation

3 3/4 ÷ 5/7 =

Answers

Answer:

5  1/4

Step-by-step explanation:

3 3/4  / ( 5/7) =

15/4  / ( 5/7) =

15/4  *  7/5  =

(15*7) / (4*5 )

105 / 20  =  5 1/4

Answer:

5.25

Step-by-step explanation:

Turn mixed number into a improper fraction.

Divide fraction by 20.

It doesn’t matter if 5 1/4, or 21/4 or 5.25., they all equal the same.

Ralphie is taking a ten-question multiple choice test. Each question has five choices. If Ralphie answers a question
correctly, he earns one point; if he answers incorrectly, he loses half a point. Ralphie answers the first six questions
correctly, then guesses on the last four. What is the expected value of his test score? Round the answer to the nearest
whole percent.

Answers

Using the binomial distribution, it is found that the expected value of his test score is of 6.8.

What is the binomial probability distribution?

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

In this problem, the parameters are given as follows:

For the first 6 questions, n = 6 and p = 1.For the last 4 questions, n = 4 and p = 1/5 = 0.2.

Hence, the expected score is given by:

E(X) = 6 x 1 + 4 x 0.2 = 6.8.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

Answer:

A.

Step-by-step explanation:

66 books in 2 boxes how meany
books per box?

Answers

Answer:

33

Step-by-step explanation:

omg please help its due by 12 am! the sum of 2 numbers is 69. the larger number is 3 less than twice the smaller number .find the numbers. show your work!

Answers

Answer:

x = 45, y = 24.

Step-by-step explanation:

If the 2 numbers are x and y:

x + y = 69...........(1)

x = 2y - 3

x - 2y = -3...........(2)

Subtract: (1) - (2):

x - x + y - (-2y) = 69 - (-3)

y + 2y = 72

3y = 72

y = 24.

From equation 1:-

x + 24 = 69

x = 45.

Answer:

one number would be 63 and the other would be 6

Step-by-step explanation:

69/2=34.5

it says 3 less which means minus 3, so you would:

34.5-3=31.5

then it says twice the smaller number, so you would:

31.5*2

Mr. beasley 's science class wants to decorate one wall in the classroom like an underwater scene. They use sheets of blue poster board that are 2 feet long and 2 feet wide. How many sheets of blue poster board are used to cover the entire area of the wall? use math words and symbols to explain how you solve

Answers

Answer:

Area of the sheet = 2×2 = 4 feet2

Step-by-step explanation:

brainliest if right so who can get it right

Answers

Answer:

1.   E:  20a - 18

2.  D:  42

3.  G:  17b + 3

4.  I:  105

CODE: EDGI

Step-by-step explanation:

Question 1

Perimeter of a rectangle = 2W + 2L

(where W is the width and L is the length)

Given:

width = 2a + 3length = 8a - 12

Perimeter = 2(2a + 3) + 2(8a - 12)

                 = 4a + 6 + 16a - 24

                 = 20a - 18

Question 2

When a = 3

⇒ perimeter = 20(3) -18

                     = 60 - 18

                     = 42 centimeters

Question 3

The dashes on the side lengths mean those sides are equal in length.

⇒ perimeter = (7b - 2) + (7b - 2) + (3b + 7)

                     = 17b + 3

Question 4

When b = 6

⇒ perimeter = 17(6) + 3

                     = 102 + 3

                     = 105 meters

1. The equation of a circle is x² + y² - 4x +2y-11-0. What are the center and the radius of the circle?
www
Show your work.
Answer:

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Circles,

so we get as,

centre as ==> ( -g, -f) ==> (2,-1)

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