use the trapezoidal rule and simpson's rule to approximate the value of the definite integral for the given value of n. round your answer to four decimal places and compare the results with the exact value of the definite integral. 4 x x2 1 0 dx, n

Hey there!

Simplify by flipping.

\(r+15\)

Hope this helps!

- TestedHyperr

The researchers employed a scientific method known as Ethnography.

Ethnography to study the recorded data. Ethnography is a method of research that involves the systematic study of people and cultures, often through the use of participant observation and the collection of detailed field notes. In this case, the researchers used the recordings to gain an understanding of the student's daily activities and how they were affected by their environment.

The researcher also often conducts in-depth interviews, focus groups, or surveys with group members to comprehensively understand their perspectives and experiences.

Ethnography can be applied in various fields, including anthropology, sociology, education, and business. It is commonly used to study communities, organizations, and other social groups.

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The entered points belong to a vertical line. There is no slope.

Equation: x = -19.

Answer:

infinitely many solutions

Step-by-step explanation:

12x-10=12x-10

12x=12x

x=x

Answer:

Step-by-step explanation:

The distances they jumped were

x,y,z

y=x+2

z=x+2+2=x+4

x+y+z=12.69

x+x+2+x+4=12.69

3x+6=12.69

3x=6.69

x=2.23

So Jack jumped 2.23m, Alex jumped 4.23m, and Amir jumped 6.23m.

Answer:

a

Step-by-step explanation:

x² - 6x + 9 = 25 ( subtract 25 from both sides )

x² - 6x - 16 = 0 ← in standard form

(x + 2)(x - 8) = 0 ← in factored form

equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 8 = 0 ⇒ x = 8

Answer:

uhhhhhhhhhh

Step-by-step explanation:

hiiii

Answer:

P = \(\frac{40}{V}\)

Step-by-step explanation:

given P is inversely proportional to V then the equation relating them is

P = \(\frac{k}{V}\)

to find k use the condition when V = 8 , P = 5 , then

5 = \(\frac{k}{8}\) ( multiply both sides by 8 to clear the fraction )

40 = k

P = \(\frac{40}{V}\) ← equation of proportion

Answer:

P = 40/V.

Step-by-step explanation:

P = k/V where k is a constant

Substituting the given values:

5 = k/8

k = 5*8 = 40.

So the formula is:

P = 40/V

The solutions to the equation \(x^2\) - 15x - 100 = 0, using the zero product property, are option C: x = -5 or x = 20.

To find the solutions to the equation \(x^2\) - 15x - 100 = 0, we can use the zero product property, which states that if a product of factors is equal to zero, then at least one of the factors must be zero.

In the given equation, we have \(x^2\) - 15x - 100 = 0. By factoring or using the quadratic formula, we can find that the equation can be written as (x - 20)(x + 5) = 0.

According to the zero product property, for the product (x - 20)(x + 5) to equal zero, either (x - 20) must be zero or (x + 5) must be zero.

Setting (x - 20) = 0 gives us x = 20 as one solution.

Setting (x + 5) = 0 gives us x = -5 as the other solution.

Therefore, the correct answer is option C: x = -5 or x = 20, as these values satisfy the equation \(x^2\) - 15x - 100 = 0.

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Answer:

Divide the numbers 36/6 = 6

= 6y + y + 2 * 4y

Multiply the numbers 2 * 4

= 6y + y + 8y

Add like terms

= 15y

(I know it's a bit late, but I hope this still helps.)

Answer:

hypotenuse= AB

Adjacent=AC

Opposite= CB

AB=?

Sol# use Pythagoras theorem {hint}

CA=?

Answer:

x+0.25=60

Step-by-step explanation:

just add 0.25 on both sides of the equation

Answer:

He has 109 tickets left!

Step-by-step explanation:

ok, let's find out how many tickets he bought in total!

he bought: 9 packs with 16 tickets inside each pack

so...

9 x 16 = 144

144 - 35 = 109

Make sure to double check before writing it down!

The length and width of the plot that will maximize the area is 60 meters by 120 meters. The largest area that can be enclosed is 7200 square meters.

To maximize the area of the rectangular plot, Farmer Ed must use 9000 meters of fencing to enclose three sides of the plot. The fourth side, which borders the river, does not need to be fenced. To find the length and width of the plot that will maximize the area, the 9000 meters of fencing must be divided into two sides of equal length, with the remaining fencing used for the third side. This results in a length of 120 meters and a width of 60 meters, which maximizes the area of the plot. The largest area that can be enclosed is 7200 square meters.

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Answer:

X=.8

Step-by-step explanation:

The probability of randomly picking out a book of poetry from a bookshelf depends on the total number of books on the shelf and the number of poetry books among them. If there are 10 books on the shelf and 2 of them are poetry books, then the probability of randomly picking out a poetry book is 2/10 or 1/5.

To calculate the odds in favor of choosing a book of poetry, we need to compare the number of favorable outcomes (picking a poetry book) to the number of unfavorable outcomes (picking a non-poetry book). In this case, the odds in favor of choosing a book of poetry would be 2:8 or 1:4, since there are 2 favorable outcomes (picking a poetry book) and 8 unfavorable outcomes (picking a non-poetry book) out of a total of 10 books.

In summary, the probability of randomly picking out a book of poetry from a bookshelf depends on the number of poetry books among the total number of books. The odds in favor of choosing a book of poetry can be calculated by comparing the number of favorable outcomes to the number of unfavorable outcomes.

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The line integral ∫cF · dr evaluates to 0.

To evaluate the line integral ∫cF · dr, where F(x, y, z) = 5x i - 5y j - 4z k and C is given by the vector function r(t) = (sin t, cos t, t), 0 ≤ t ≤ π, we can follow these steps:

1. Parameterize the curve C:

  r(t) = (sin t, cos t, t), 0 ≤ t ≤ π

2. Calculate dr/dt:

  dr/dt = (cos t, -sin t, 1)

3. Substitute the parameterization and dr/dt into F:

  F(r(t)) = 5(sin t) i - 5(cos t) j - 4t k

4. Evaluate F(r(t)) · dr/dt:

  F(r(t)) · dr/dt = [5(sin t) i - 5(cos t) j - 4t k] · [(cos t, -sin t, 1)]

                  = 5(sin t)(cos t) - 5(cos t)(-sin t) - 4t

                  = 0

Since F(r(t)) · dr/dt equals 0, the line integral evaluates to 0.

The line integral is 0.

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The given expression \(3 \dfrac{6}{5}\)  can be written as \(\sqrt[5]{3^6}\).

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The given value can be written as:-

\(3\dfrac{6}{5} = \sqrt[5]{3^6}\)

Therefore the given expression \(3 \dfrac{6}{5}\)  can be written as \(\sqrt[5]{3^6}\).

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Answer:

3  2/3

Step-by-step explanation:

change 5 2/4 into an improper fraction:  5(4)+2 over 4  =  22/4

\(\frac{2}{3}\) x \(\frac{22}{4}\) = \(\frac{44}{12}\)

\(\frac{44}{12}\) can be simplified by dividing top and bottom by 4 to get 11/3 or 3 2/3

Answer: Each can of soda costed $1.50

Step-by-step explanation:

The total cost was $8

Xavier's bought 4 snacks; each $1.25

4 x 1.25 = $5

How much for 2 cans of soda?

Well we know how much the snacks were ($5) and the total cost was $8, so the 2 cans costed $3 because 5 + 3 = 8. But how much did each can cost? Each can costed $1.50 because if the 2 cans costed $3, and we wanted to know how much 2 costed, we would have to divide 3 by 2 which is 1.50. So each can costed $1.50

There's all the lengths so you don't have to search them all up

Answer:

Step-by-step explanation:

3y+5y=8y

8y=7(divide 8 in both sides to get y)

y=7/8

x+2y=3...but we already know the value of y, so substitute 7/8 to y

x+2(7/8)=3

x+14/8=3

x=3-14/8

=1.25

The number of trees more than 10m tall but not more than 20m tall is 18 trees.

0 < h ≤ 5 = 5

height greater than 0m less than or equal to 5m

5 < h ≤ 10 = 9

height greater than 5m less than or equal to 10m

10 < h ≤ 15 = 13

height greater than 10m less than or equal to 15m

15 < h ≤ 20 = 5

height greater than 15m less than or equal to 20m

20 < h ≤ 25 = 1

height greater than 20m less than or equal to 25m

The number of trees that are more than 10m tall but not more than 20m tall are;

10 < h ≤ 15 = 13

15 < h ≤ 20 = 5

So,

13 + 5 = 18 trees

Therefore, the total number of trees which are 10m tall but not more than 20m tall is 18 trees.

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The child passes through 18π radians in the course of the carousel ride.

To determine the number of radians the child passes during the 6-minute ride on the carousel, we need to know the distance traveled in terms of radians.

Since there are 20 horses spaced evenly around the carousel, each horse is separated by an angle of 360/20 = 18 degrees or π/10 radians.

Therefore, during one rotation of the carousel, the child passes through 20π/10 = 2π radians. And since the carousel completes one rotation every 40 seconds, the angular velocity is 2π/40 = π/20 radians per second.

To find the total distance traveled in radians during a 6-minute ride, we need to multiply the angular velocity by the time elapsed.

6 minutes is equal to 360 seconds,

so the child passes through π/20 x 360 = 18π radians during the ride.

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9514 1404 393

Answer:

  (c)  dZ/dt = 11/√544, so moving away at about 0.47 m/s

Step-by-step explanation:

The (x, y) coordinates of the car are related by the fact that they are on a circle centered at (12, 7) with a radius of 5. Then their rates of change are related by the derivative of the circle equation with respect to time.

  (x -12)^2 + (y -7)^2 = 25

  2(x -12)x' +2(y -7)y' = 0

  y' = -(x -12)/(y -7)x'

At the time and point of interest, we have ...

  y' = -(15 -12)/(11 -7)(1) = -3/4

__

The distance (z) to the observer is given by the Pythagorean theorem:

  z^2 = (x -0)^2 +(y -2)^2

and its rate of change with time is ...

  2z·z' = 2(x-0)x' +2(y -2)y'

The distance d at the point of interest is ...

  z = √((15 -0)^2 +(11 -2)^2) = √(225 +81) = √306 = 3√34

So, the rate of change of distance to the observer at the time and point of interest is ...

  z' = (x(x') +(y -2)y')/z

  z' = ((15)(1) +(11-2)(-3/4))/(3√34) = (33/4)/(3√34)

  z' = 11/√544 ≈ 0.47 . . . m/s

we can classify the relationship between M∠5 and M∠3 as alternate exterior angles.

What are parallel lines?

Parallel lines are two or more lines that are always the same distance apart and never intersect. In other words, they are lines that lie in the same plane and do not intersect each other no matter how far they are extended.

Based on the given diagram, we can see that lines r and s are parallel and intersected by transversal line t.

M∠5 and M∠3 are angles that are formed by line t intersecting lines r and s. M∠5 is an exterior angle, while M∠3 is an interior angle.

Furthermore, M∠5 and M∠3 are on opposite sides of line t and both are formed by the intersection of lines r and s with line t.

Therefore, we can classify the relationship between M∠5 and M∠3 as alternate exterior angles.

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Answer:

11 times N= 33

Step-by-step explanation:

If you do 33 divided by 11 you get 3 so N would be 3

11 times 3=33