Rewrite the following iterated integral using five different orders of integration. ∫ -2 2 ∫ √ (4 − x2) -(4 − x2) ∫ 4 x^2+y^2 g(x,y,z) dz dy dx

Answers

Answer 1

∫ -√2 √2 ∫ -2 2 ∫ x^2+y^2 4 g(x,y,z) dz dy dx; ∫ -2 2 ∫ x^2+y^2 4 ∫ -√(4-x^2) √(4-x^2) g(x,y,z) dy dz dx; ∫ -√2 √2 ∫ -2 2 ∫ x^2+y^2 4 g(x,y,z) dz dx dy; ∫ x^2+y^2 4 ∫ -2 2 ∫ -√(4-x^2) √(4-x^2) g(x,y,z) dx dz dy and ∫ x^2+y^2 4 ∫ -2 2 ∫ -√(4-x^2) √(4-x^2) g(x,y,z) dy dx dz are the different orders of integration.

Given the integral ∫ -2 2 ∫ √(4 − x^2) -(4 − x^2) ∫ 4 x^2+y^2 g(x,y,z) dz dy dx, here are the five different orders of integration:

1. dxdydz:
∫ -√2 √2 ∫ -2 2 ∫ x^2+y^2 4 g(x,y,z) dz dy dx

2. dxdzdy:
∫ -2 2 ∫ x^2+y^2 4 ∫ -√(4-x^2) √(4-x^2) g(x,y,z) dy dz dx

3. dydxdz:
∫ -√2 √2 ∫ -2 2 ∫ x^2+y^2 4 g(x,y,z) dz dx dy

4. dydzdx:
∫ x^2+y^2 4 ∫ -2 2 ∫ -√(4-x^2) √(4-x^2) g(x,y,z) dx dz dy

5. dzdxdy:
∫ x^2+y^2 4 ∫ -2 2 ∫ -√(4-x^2) √(4-x^2) g(x,y,z) dy dx dz

These are the five different orders of integration for the given iterated integral.

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Related Questions

Given the triangle ABC at points A = ( 2, 2 ) B = ( 4, 5 ) C = ( 6, 3 ), and if the triangle is first reflected over the y axis, and then over the x axis, find the new point A''.

Answers

Given

The triangle ABC at points A = (2, 2) B = (4, 5) C = (6, 3).

To find:

3. The line segment below is a reflection over which line?O y-axisO y =xO y = -xO x-axis

3. The line segment below is a reflection over which line?O y-axisO y =xO y = -xO x-axis

Answers

Remember that

The rule of a reflection over the line y=-x is equal to

(x,y) ------> (

PLEASE HELP NOW!

The coordinates of point A on a coordinate grid are (−2, −3). Point A is reflected across the y-axis to obtain point B and across the x-axis to obtain point C. What are the coordinates of points B and C?


B(2, 3) and, C(−2, −3)

B(−2, −3) and C(2, 3)

B(2, −3) and C(−2, 3)

B(−2, 3) and C(2, −3)

Answers

Answer:

1. Point B.

If you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate changes into its opposite. So, if we have a point, the reflection of this point across  the x-axis is the point. Finally, our point A (-2,-3) changes into:

Point B: (-2,3)

2. Point C.

If you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate changes into its opposite. So, if we have a point, the reflection of this point across the y-axis is the point (-x,y) . Finally, our point A(-2,-3)  changes into:

Point C:(2,-3)

What is the simplified value of the expression m/n if m=4/5 and n= −0.25

Answers

Answer:

The simplified value of the expression m/n if m=4/5 and n= −0.25 is -16.

Step-by-step explanation:

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Plz plz helpppppppppppppp i really need it​

Plz plz helpppppppppppppp i really need it

Answers

Answer:

3

Step-by-step explanation:

8*3=24

what is the mistake below? solve the system equations by substitution: {4x − y = 20−2x − 2y = 10

Answers

The solution to the system of equations by substitution is x = 3 and y = -8.

To solve the system of equations by substitution:

Solve one equation for one variable in terms of the other variable. Let's solve the first equation for x:

4x - y = 20

4x = y + 20

x = (y + 20)/4

Substitute this expression for x into the second equation:

-2x - 2y = 10

-2((y + 20)/4) - 2y = 10

(y + 20)/2 - 2y = 10

(y + 20) - 4y = 20

-y - 20 - 4y = 20

-5y = 40

y = -8

Substitute the value of y back into the first equation to find x:

4x - (-8) = 20

4x + 8 = 20

4x = 20 - 8

4x = 12

x = 12/4

x = 3

Therefore, the solution to the system of equations is x = 3 and y = -8.

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Square A is smaller than Square B. Square B is smaller than Square C.
The three squares’ side lengths are 26, 4.2, and 11?

Answers

The square with the side length 26 is the Square C. The square with the side length 11 is the Square B. The square with the side length 4.2 is the Square

A. As, 4.2 <11 <26


(x^(3)+x^(2)-1)/(x^(2)+5x-6) Using the division algorithm, write the improper fraction as the sum of the quotient and a proper fraction.

Answers

We need to use the division algorithm to write the improper fraction as the sum of the quotient and a proper fraction.

Division algorithm states that for the two polynomials

\(, `f(x)` and `g(x)`:`f(x) = d(x) * g(x) + r(x)`where `r(x)`\)

We need to perform the following steps to find the quotient and remainder:

Step 1: Factorize the denominator of the fraction, which is\(`(x^2 + 5x - 6)\)Divide the first term of the numerator polynomial \(`(x^3)`\)by the first term of the denominator polynomial `(x^2)`. The result is the first term of the quotient polynomial.

.We have found the quotient polynomial, `x`, and the remainder polynomial,\(`(-4x^2 + 6x - 1)/[(x + 6) (x - 1)]`\).

Therefore, the given fraction can be written as:`\(x - (4x^2 + 6x - 1)/[(x + 6) (x - 1)]`\)

\(`(x^2 + 5x - 6)\)

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the life of light bulbs is distributed normally. the variance of the lifetime is 625 and the mean lifetime of a bulb is 530 hours. find the probability of a bulb lasting for between 547 and 580 hours. round your answer to four decimal places.

Answers

The probability of a bulb lasting between 547 and 580 hours is approximately 0.0392

To solve this problem, we first need to standardize the values using the formula

z = (x - μ) / σ

where

x is the value we want to find the probability for,

μ is the mean, and

σ is the standard deviation.

In this case, we want to find the probability that a bulb will last between 547 and 580 hours, so we need to find the z-scores for these values.

z1 = (547 - 530) / sqrt(625) = 1.72

z2 = (580 - 530) / sqrt(625) = 2.8

Next, we use a standard normal distribution table or calculator to find the probabilities for each z-score. For example, using a calculator, we can find that

P(z1 < Z < z2) = P(1.72 < Z < 2.8) ≈ 0.0392

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In a coordinate plane, a line has two points A and B with the coordinates A(4,n) and B(10,6n). In the same coordinate plane, a different line has two points C and D with coordinates C(−3,−6) and D(9,8n). For what value of n are the two lines parallel?

Answers

For the two lines to be parallel, the value of n must be 3

How are two lines parallel in a coordinate?

When two straight lines are plotted on the coordinate plane, we can tell if they are parallel from the slope, of each line. If the slopes are the same then the lines are parallel.

The slope of each line is calculated as (y2-y1)/x2-x1

for line AB, the slope = (6n-n)/10-4 = 5n/6

for line CD, the slope= 8n-(-6)/9-(-3)=( 8n+6)/12

for AB and CD to be parallel,

5n/6 = (8n+6)/12

multiply both sides by 12

10n= 8n+6

collect like terms

10n-8n= 6

2n= 6

n= 6/2= 3

therefore for the value of n= 3 line CD and AB are parallel.

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Brian is a software salesman. His base salary is 1900 , and he makes an additional 40 for every copy of Math is Fun he sells. Let N represent his total pay (in dollars), and let N represent the number of copies of Math is Fun he sells. Write an equation relating to p to n . Then use this equation to find his total pay if he sells 21 copies of Math is Fun.

Answers

Answer:

2740 is your total; p = 40n + 1900 is your equation.

Step-by-step explanation:

"p" represents total pay; "n" represents the number of copies he sells.

Base salary is 1900, and each copy sold gives him an extra 40

p = 40n + 1900 is your equation.

If he sells 21 copies. Plug in 21 for n

p = 40n + 1900

p = 40(21) + 1900

Simplify. Remember to follow PEMDAS. First, multiply, then add.

p = 40(21) + 1900

p = 840 + 1900

p = 2740

~

Answer:
$2740

Let P = total pay
Let n = number of copies sold

P = $1900 + 40n
P = $1900 + 40(21)
P = $1900 + $840
P = $2740

what is 15/8 as a decimal

Answers

Answer:

1.875

Step-by-step explanation:

Answer:

1.875 is the answer I got

Marco’s Pizzeria is having a special: 5 pizzas for $25. What is the unit price?

Answers

The unit price would be $5 per pizza

Answer:

The unit price would be $5 per pizza

Step-by-step explanation:

If you deposit or put in $1550 into a savings account earning 7.2% simple interest for 2 years, how much money total will you have in your account? Show the equation you use and solve.

Answers

Answer:

22320

Step-by-step explanation:

simple interest= p (deposit) × r (rate) × t (time)

=1550×7.2×2

=22320

Need answers please?!
2(x - 2)² - 5(x - 2) - 5

Answers

The solution of the given equation is 2x² - 13x +13.

What is the solution of the equation?

The collection of all values that, when substituted for unknowns, cause an equation to hold true is known as the solution. Two fundamental algebraic rules using the additive property and the multiplicative property are utilized to determine the solutions for equations needing a single unknown raised to a power of one.

What is the simplification rule?

For those sorts of reasoning that deal with conjunctions, the rule of simplification provides a strong argument. This covers natural deduction, predicate logic, and propositional logic.

Here, we have

Given equation 2(x - 2)² - 5(x - 2) - 5

By applying the simplification rule, we get

= 2(x - 2)² - 5(x - 2) - 5

= 2( x² + 4 - 4x ) - 5x +10 - 5

= 2x² + 8 - 8x - 5x + 5

= 2x² - 13x +13

Hence, the solution of the given equation is 2x² - 13x +13.

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In the context of intergroup sources of power, _____ are activities that other groups depend on to complete their tasks.

Answers

In the context of intergroup sources of power, dependencies are activities that other groups depend on to complete their tasks.

Dependencies refer to the specific tasks or activities that one group relies on another group to fulfill. These dependencies create interdependencies between groups, establishing power dynamics and influencing the relationships between them. When one group possesses certain dependencies that are crucial for the functioning or success of other groups, it can leverage these dependencies to gain power and influence within the intergroup dynamics. For example, if Group A is responsible for providing essential raw materials that Group B needs to manufacture their products, Group A holds a dependency advantage over Group B. Group B is reliant on Group A's timely and reliable provision of the raw materials to carry out their production processes. In this scenario, Group A can use their control over the supply of raw materials as a source of power to negotiate favorable terms, pricing, or other concessions from Group B. The dependency of Group B on Group A's resources strengthens the power position of Group A within the intergroup relationship.

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What is the side length of the diamond Sarah can make with 40 inches of yarn?

Answers

Answer:

10 inches

Step-by-step explanation:

All four of a diamond's sides must all be of the same length. Therefore 40inches/4 = 10 inches per side.

Points R, L, and S are

A. non-collinear and non-coplanar
B. coplanar and collinear
C. non-collinear and coplanar
D. collinear and collinear

Points R, L, and S areA. non-collinear and non-coplanarB. coplanar and collinearC. non-collinear and

Answers

Answer:

C. non collinear and coplanar

Option (C) non-collinear and co planar is the correct answer about the points R, L, and S.

What is coplanar?

A set of points in space are co planar, if there exists a geometric plane that contains them all.

What is non-collinear?

Non-collinear points are points that do not lie on one straight line. The points are not collinear, when they are joined with each other, they form a triangle, which is a three-sided polygon.

For the given situation,

The diagram shows the plane M and the triangle.

In the diagram, all the points are lie on the same plane but the points are not lie on the same line.

Three points are always co planar, and if the points are distinct and non-collinear, the plane they determine is unique.

Hence we can conclude that option (C) non-collinear and co planar is the correct answer about the points R, L, and S.

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0.66 pts
Sandy bought a pair of shoes on sale for 40% off the original price and an additional 25% off the discount price. If the shoes originally cost $60, what was the final cost, without tax, that Sandy paid for the shoes?

Answers

Answer:

The price is $27.00

Step-by-step explanation:

First you find 40% of 60 which is 24.

Next you subtract 24 from 60 (60-24) which equals 36.

Then you find 25% of the discounted price (36) which is 9.

Finally you subtract 9 from 36 (36-9) which is 27.

Conclusion:

So therefore the answer is $27.00.

I don't care if I get brainlyist just glad I could help :)

Kaley solved 10 x 5 x 2 using the equations below.
10 x 5 x 2 = (10 × 5) × 2
= 50 x 2
= 100
Use the equations below to solve 10 x 5 x 2 in a different way.
10 x 5 x 2
= 10 x (
= 10 x
=
= 100
=
x 2)

Answers

Answer + Step-by-step explanation:

10 × 5 × 2

= 10 × (5 × 2)   (associative property)

= 10 × (10)

= 10 × 10

= 100

Hello there! Kaley originally solves by using (10 x 5) x 2 to result in 100 as the final answer. That being said, we can place the parenthesis in another place to identify another way Kaley can solve this problem:

10 x 5 x 2

= 10 x (5 x 2)

= 10 x 10

= 100

By placing the parenthesis in another place, what we did was simplify what 5 x 2 gave us and then multiply that by the remaining integer. Because 5 x 2 = 10, we can multiply 10 x 10 to find that:

1. 10 x 10 = 100

2. (10 x 5) x 2 = 10 x (5 x 2)

Likewise, if we wanted to, we could also rearrange the parenthesis to multiply 10 x 2 and get 20 x 5. That also would give us 100.

The other method to solve this problem is 10 x (5 x 2) = 100. If you need any extra help, let me know and I will gladly assist you.

a) complete the table of values for y = 2x^2 + x




b) Which of the three curves drean matches the graph of y = 2x^2 + x​

a) complete the table of values for y = 2x^2 + xb) Which of the three curves drean matches the graph

Answers

Answer:

a)

 x  y

-2  6

-1   1

0  0

1   3

2  10

b)  Curve B matches all the values.

 

Step-by-step explanation:

See attached worksheet.

a)  Enter the x values into the equation to find the corresponding values of y.

b)  Mark these x,y values on the graph to identify the curve that matches all points.  That is curve B.

a) complete the table of values for y = 2x^2 + xb) Which of the three curves drean matches the graph

can someone help me with this help me find x and y

can someone help me with this help me find x and y

Answers

Answer:

x = 10

y = 20

Step-by-step explanation:

In a 30 60 90 triangle, all triangles follow the same pattern of side lengths.

The short leg, x, will be equal to the coefficient of the \(\sqrt{3}\)

The hypotenuse will be twice the value of x

Mary Ellen has a white oak tree in her backyard.she observed that the tree had grown 2/3 foot in 3/4 year. What is the tree grownth rate in feet year? A.1/2 b.9/9 c1/1.8 d.2

Answers

Answer:

in 3/4 year tree had grown 2/3

in 1 year tree had grown (2/3)/0.75 =8/9 feet

Step-by-step explanation:

George father spent one hour and 40 minutes working on his truck if he started working on it at 5:35 would he would have finished at 7:15

Answers

Answer: yes

Step-by-step explanation: 5 hours and 35 minutes plus one hour and 40 minutes = 7 hours and 15 minutes

pls thank and rate!









A tank of water in the shape of a cone is being filled with water at a rate of 12 m/sec. The base radius of the tank is 26 meters, and the height of the tank is 18 meters. At what rate is the depth of

Answers

The depth of the water in the cone-shaped tank is increasing at a rate of approximately 1.385 meters per second.

To determine the rate at which the depth of the water is changing, we can use related rates. Let's denote the depth of the water as h(t), where t represents time. We are given that dh/dt (the rate of change of h with respect to time) is 12 m/sec, and we want to find dh/dt when h = 18 meters.

To solve this problem, we can use the volume formula for a cone, which is V = (1/3)πr^2h, where r is the base radius and h is the depth of the water. We can differentiate this equation with respect to time t, keeping in mind that r is a constant (since the base radius does not change).

By differentiating the volume formula with respect to t, we get dV/dt = (1/3)πr^2(dh/dt). Now we can substitute the given values: dV/dt = 12 m/sec, r = 26 meters, and h = 18 meters.

Solving for dh/dt, we have (1/3)π(26^2) (dh/dt) = 12 m/sec. Rearranging this equation and solving for dh/dt, we find that dh/dt is approximately 1.385 meters per second. Therefore, the depth of the water in the tank is increasing at a rate of about 1.385 meters per second.

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PLEASE HELP!!!!! PLEASE

PLEASE HELP!!!!! PLEASE

Answers

Answer: d. (if a polygon has congruent angles, then it is regular)

Step-by-step explanation:

Converses follow the format of "if q, then p" (while  the original conditional is "if p, then q")

Just because there are clouds does not mean its raining (cloudy days)

just because it has four equal sides does not make it a square (rhombi have four equal sides but are not squares)

just because you cannot see the sun does not mean it is not daytime (solar eclipses)

if a polygon is regular, it must have congruent angles

what is the sum of 9a+12​

Answers

Answer:

3(3a+4)

Step-by-step explanation:

Answer:

I think you cannot add 9a + 12 because 12 does not have a letter in tonces, it will stay the same

Step-by-step explanation:

How many match sticks will there be in 6th picture

Answers

Answer:

could you put the picture?

Add the picture please.

LOOKING FOR SOMEONE TO EXPLAIN PRIME FACTORIZATION in the easiest way possible please. please write an actual answer. examples would be appreciated

Answers

Prime factorization is when you take all the possible factors of a number until there is only prime numbers left . Then let’s say your number is 24 you would be left with: 2x 2x 2 x3 and you would write out the prime factorization as 2^3 x 3

I circle the numbers that are “prime” see two examples pics
LOOKING FOR SOMEONE TO EXPLAIN PRIME FACTORIZATION in the easiest way possible please. please write an

Which set of ordered pairs represents y as a function of x?
{(2,-1), (4, -2), (6, -3), (8, -4)}
{(0, 0), (1, 1), (1, 0), (2, 0)}
{(3, 3), (3, 4), (4, 3), (4, 4)}
{(1, -5), (1, 5), (2, -10), (2, -15)}

Answers

Answer:

{(2,-1), (4, -2), (6, -3), (8, -4)}

Step-by-step explanation:

The other ordered pairs have a common domain value which means they are not a function.

For example:

{(5,7), (5,8), (10,3)} would not be a function because the 5 is repeating

However

{(2,6), (4,6), (22,7)} would be function because there are no numbers in the x part of the ordered pair that repeat. (x,y)

I hope you can see the pattern now

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