find the average value of f(x,y)=6eyx ey over the rectangle r=[0,2]×[0,4]

Answers

Answer 1

We need to find the average value of f(x,y)=6eyx ey over the rectangle r=[0,2]×[0,4].Solution:Given function is f(x,y) = 6eyx ey

The formula for calculating the average value of a function over a region is as follows:Avg value of f(x,y) over the rectangle R = (1/Area of R) ∬R f(x,y)dAHere, R=[0,2]×[0,4].Area of the rectangle R = 2×4 = 8 sq units

Now, we calculate the double integral over R as follows:∬R f(x,y)dA = ∫0^4 ∫0^2 6eyx ey dxdy= 6∫0^4 ∫0^2 e2y dx dy= 6∫0^4 ey(2) dy= 3(ey(2)|0^4)= 3(e8-1)Now, we can find the average value as:Avg value of f(x,y) over the rectangle R = (1/Area of R) ∬R f(x,y)dA= (1/8)×3(e8-1)= (3/8)(e8-1)Therefore, the required average value is (3/8)(e8-1).Hence, the correct option is (D).

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Related Questions

Part 1 pls help with this​

Part 1 pls help with this

Answers

Answer:

Below.

Step-by-step explanation:

1) Alternate exterior angles

2) Alternate interior angles

3) Alternate exterior angles

4) Alternate exterior angles

5) Alternate interior angles

6) Corresponding angles

7)Alternate exterior angles

8) Alternate interior angles

9) Corresponding angles

10) Corresponding angles

When two parallel lines are intersected by a transversal 8 angles are formed.

Alternate exterior angles: These angles are located outside the parallel lines but on the opposite side of the transversal.

Alternate interior angles:

These angles are located inside the parallel lines but on the opposite side of the transversal.

Corresponding angles: These angles are located at the same relative position on the same side of the transversal.

Show that if m

(A)=0, then m

(AUB)=m

(B)

Answers

A and B have the same elements, the measure of AUB will be equal to the measure of B.

To show that if m*(A) = 0, then m*(AUB) = m*(B), we need to prove the following:
1. If m*(A) = 0, then A is a null set.
2. If A is a null set, then AUB = B.
3. If AUB = B, then m*(AUB) = m*(B).
Let's break down each step:
1. If m*(A) = 0, then A is a null set:
  - By definition, a null set has a measure of 0.
  - Since m*(A) = 0, it implies that A has no elements or its measure is 0.
  - Therefore, A is a null set.
2. If A is a null set, then AUB = B:
  - Since A is a null set, it means that it has no elements or its measure is 0.
  - In set theory, the union of a null set (A) with any set (B) results in B.
  - Therefore, AUB = B.
3. If AUB = B, then m*(AUB) = m*(B):
  - Since AUB = B, it implies that both sets have the same elements.
  - The measure of a set is defined as the sum of the measures of its individual elements.
  - Since A and B have the same elements, the measure of AUB will be equal to the measure of B.
  - Therefore, m*(AUB) = m*(B).
By proving these three steps, we have shown that if m*(A) = 0, then m*(AUB) = m*(B).

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01. Apenas uma das matrizes abaixo é, ao mesmo tempo, quadrada, diagonal e identidade. Identifique-a: a[0,1,0,1]. B[1,0,0,1]. C[1,3,0,1]. D[1,1,1,1]. E[0,1,1,0]]

Answers

Responder:

b)

1 0

0 1

Explicação passo a passo:

Das opções fornecidas:

Todas as opções atendem à condição de uma matriz quadrada, pois todas têm o mesmo número de linhas e colunas (2 * 2)

Para ter uma matriz diagonal, todas as entradas fora da diagonal principal serão Zero.

Por outro lado, a matriz de identidade é um tipo especial de matriz quadrada com uma ao longo da diagonal principal.

Indo por essas condições apenas a matriz (b); atende às três condições.

2/3-2p=5+4/3p What is p? What does p equal to?

Answers

Answer:

p = -13/10

Step-by-step explanation:

2/3 -2p = 5 + 4/3p

first isolate p

-2p = 5 + 4/3p -2/3

-2p -4/3p = 5 -2/3

then you expand the whole numbers to be able to solve each side

-6/3p -4/3p = 15/3 -2/3

subtract

-10/3p = 13/3

now you isolate p again by dividing each side by -10/3p

p = 13/3 ÷ -10/3

you cant divide fractions, so flip one of them and multiply

p = 13/3 x - 3/10

p = 39/30

simplify and you get p = 13/10

Using the same groups from project 1, students are to study and understand the workings of a 7- segment display counter. using only electronic components, each group is supposed to design a number generator (rng) that can predictably display 3(three) digits.

Answers

In the given project, students are required to work in the same groups as in Project 1 to study and understand the workings of a 7-segment display counter.

The main task for each group is to design a number generator (RNG) using only electronic components. This RNG should be able to predictably display 3-digit numbers on the 7-segment display. The term "predictably display" implies that the generated numbers should follow a specific pattern or sequence, making it possible to anticipate the upcoming numbers.

This project helps students gain practical experience in designing electronic circuits and understanding the functionality of 7-segment displays.

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88:4-2x1=?

Solve the problem please!

Answers

The expression can be written in another way, as 88 ÷ 4 - 2 x 1 = 22 - 2 = 20. Hence, 88:4-2x1 = 20.

To solve the expression 88:4-2x1, we must use the order of operations. The order of operations is an agreed upon set of rules that help us determine which operation to carry out first.

The order of operations is often abbreviated as PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

Firstly, we need to perform multiplication, because multiplication and division come before addition and subtraction. We are multiplying 2 by 1, which equals 2.

Next, we need to perform division because it is the next operation in the PEMDAS order. We are dividing 88 by 4, which equals 22. Finally, we perform subtraction by subtracting 2 from 22. Therefore, the final answer is 20.

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Final answer:

The solution to the equation 88:4-2x1 is 20. This is obtained by applying the order of operations: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Explanation:

To solve this mathematical equation, we must follow the order of operations. The acronym PEMDAS is commonly used to remember this order: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Applying this order to 88:4-2x1=?, we first perform the division operation: 88 ÷ 4 = 22. The equation becomes 22 - 2x1.

Next, we do the multiplication: 2 * 1 = 2. The equation becomes 22 - 2.

Finally, we perform the subtraction: 22 - 2 = 20. Therefore, 88:4-2x1 equals 20.

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If you and a friend each toss two pennies at the same time, what is the probability that all four pennies will be tails?

A. 1/2
B. 1/4
C. 1/8
D. 1/16
E. 1/32​

Answers

Answer:

1/16

Step-by-step explanation:

Probability helps us to know the chances of an event occurring. The probability that all four pennies will be tails is (1/16).

What is Probability?

Probability helps us to know the chances of an event occurring.

\(\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\)

The probability of a penny getting a tail is 0.5 or (1/2), therefore, the probability of four penny getting a tail can be written as,

\(\rm Probability = \dfrac14 \times \dfrac14 \times \dfrac14 \times \dfrac14 = \dfrac1{16}\)

Hence, the probability that all four pennies will be tails is (1/16).

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Which of the following terms correctly describe the object below?
Check all that apply.
A. Polygon
B. Solid
C. Prism
D. Triangle
E. Pyramid
F. Polyhedron

Which of the following terms correctly describe the object below?Check all that apply.A. PolygonB. SolidC.

Answers

Answer:

Pyramid, solid, polyhedron

Step-by-step explanation:

Took the quiz

A pyramid is a three-dimensional polyhedron with a polygonal base and three or more triangle-shaped faces that meet at a point above the base. The correct options are B, E, and F.

What is a pyramid?

A pyramid is a three-dimensional polyhedron with a polygonal base and three or more triangle-shaped faces that meet at a point above the base. The triangle sides are referred to as faces, while the point above the base is referred to as the top.

The given object can be described as a solid, pyramid and a polyhedron as well.

Hence, the correct options are B, E, and F.

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The value of y varies directly with x. When y = 75, 7 = 1. What is the value of y when x is 272

Answers

I’m assuming that 7 means x, and honestly all you have to do is multiply. x= 1 , y= 75.. so just multiply 75 and 272. The answer is 20,400.

please help me :/....................................

please help me :/....................................

Answers

Answer:

k=-4

Step-by-step explanation:

f(x) translates down 4 from g(x)

Which is the lowest level of the hierarchy of needs model?
a.
team
b.
community
c.
intrapersonal
d.
interpersonal

Answers

The lowest level of the hierarchy of needs model is the intrapersonal level.

The hierarchy of needs model, developed by Abraham Maslow, suggests that individuals have different levels of needs that must be fulfilled in a specific order. The model consists of five levels: physiological needs, safety needs, belongingness and love needs, esteem needs, and self-actualization needs.

The intrapersonal level represents the basic physiological needs, such as food, water, shelter, and sleep. These needs are essential for survival and form the foundation of the hierarchy. Once the physiological needs are met, individuals can progress to higher levels of needs, such as safety, belongingness, and self-actualization.

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8. You are a bakery chef. You have ordered
14 pounds of green apples and 9 pounds of
red apples. You have also ordered twice as many
yellow apples as red. You used 26 pounds of
apples for pies. How many pounds of apples
do you have left?
+

Answers

Answer: 15 pounds of apples left!

Step-by-step explanation:

Yellow: 9 times 2 = 18 apples

Red: 9

Green: 14

Add them all together- 18 plus 9 plus 14 =41.

Subtract 26 from 41 = 15

15 pounds of apples left!

answer this please:)
show the solutions
thank you ​

answer this please:)show the solutionsthank you

Answers

for 2 answers are -6/5, -3 and 3

Step-by-step explanation:

i don't know answer for 1 and 3 but i can help u with 2

5x^3 + 6x^2 - 45x - 54

x^2( 5x + 6) -9(5x-6)

(5x+6)(x^2 - 9)

5x+6=0 x^2-9=0

5x= -6 x^2= 9

x= -6/5 x= -3 or 3

What is the value of x?

Enter your answer in the box.

What is the value of x?Enter your answer in the box.

Answers

Answer:

x+112°+133°+128°+100°+120°=720°(angle sum property of hexagon is 720)

x+593°=720°

x=720°-593°

x=127°

hope u understood!

127°^^^^^is the answer

pls help asap if you can!!!

pls help asap if you can!!!

Answers

The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent

How to determine the statement

To determine the correct statement, we need to know the properties of a parallelogram.

These properties includes;

Opposite sides are parallel. Opposite sides are congruent. Opposite angles are congruent. Same-Side interior angles (consecutive angles) are supplementary. Each diagonal of a parallelogram separates it into two congruent triangles.The diagonals of a parallelogram bisect each other.

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$1,554.31 With an 30% discount

Answers

Answer:

Original: $1,554.31

You Pay: $1088.02

You Save: $466.29

Brandy's candies paid $23 million in dividends during 1998, while also making net common stock repurchases of $27 million. what was the cash flow to stockholders for 1998?

Answers

The cash flow to stockholders for 1998 is -$4 million.

To calculate the cash flow to stockholders for 1998, follow these steps:

Identify the dividends paid: Brandy's Candies paid $23 million in dividends during 1998.

Determine the net common stock repurchases: Brandy's Candies made net common stock repurchases of $27 million during 1998.

Subtract the net common stock repurchases from the dividends paid: $23 million - $27 million = -$4 million.

The resulting cash flow to stockholders for 1998 is -$4 million, indicating a net outflow of cash from stockholders.

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In a word game, 1 letter is worth 1 point. This dot plot shows the scores for 20 common words. What is the first quartile (Q1)?

Answers

Answer:

5

Step-by-step explanation:

HELP PLEASE !!


find the surface area of the cylinder and round it to the nearest tenth.​

HELP PLEASE !! find the surface area of the cylinder and round it to the nearest tenth.

Answers

Answer:

18.8

Step-by-step explanation:

Surface area=2*pi*r*(r+h)=2*pi*1*(3)=18.8

You are considering purchasing a consol that promises annual payments of $4. a. If the current interest rate is 3 percent, what is the price of the consol? Instructions: Round your answer to the nearest penny (2 decimal places). The price of the consol is $ b. You are concerned that the interest rate may rise to 4 percent. Compute the percentage change in the price of the consol and the percentage change in the interest rate. Compare them. Instructions: Round your answer for dollar amounts to the nearest penny (2 decimal places ) and answers for percentages to the nearest tenth (1 decimal place) The new price of the consol would be $ The price of the consol falls by 7% and the interest rises by 7% c. Your investment horizon is one year. You purchase the consol when the interest rate is 5 percent and sell it a year later, following a rise in the interest rate to 6 percent. What is your holding period return? Instructions: Round your answer to the nearest tenth (1 decimal place) Your holding period return is %

Answers

a. The price of the consol is approximately $133.33.

b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.

c. Your holding period return is approximately -49.99%.

a. The price of the consol can be calculated using the formula for the present value of a perpetuity:

Price = Annual Payment / Interest Rate

In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:

Price = $4 / 0.03 ≈ $133.33

Therefore, the price of the consol is approximately $133.33.

b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:

New Price = Annual Payment / New Interest Rate

Substituting the values, we get:

New Price = $4 / 0.04 = $100

The percentage change in the price of the consol can be calculated using the formula:

Percentage Change = (New Price - Old Price) / Old Price * 100

Substituting the values, we have:

Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%

The percentage change in the interest rate is simply the difference between the old and new interest rates:

Percentage Change in Interest Rate = (4% - 3%) = 1%

Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.

c. The holding period return can be calculated using the formula:

Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100

The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:

Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67

Substituting the values into the holding period return formula:

Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%

Therefore, the holding period return is approximately -49.99%.

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Which of the following tools is used to capture data packets over time(continuously or overnight)?PuTTYTraffic AnalyzerWiresharkNetWitness Investigator

Answers

Wireshark is the tool used to capture data packets over time, either continuously or overnight.

Wireshark is a powerful network protocol analyzer that allows you to capture and examine data packets flowing through a network. It provides a comprehensive set of features for capturing, analyzing, and interpreting network traffic.

With Wireshark, you can capture packets from various network interfaces and save them to a capture file for later analysis. It supports capturing packets in real-time, allowing you to monitor network activity as it happens.

Wireshark offers detailed packet-level inspection, allowing you to examine packet headers, payloads, protocols, and other relevant information.

Furthermore, Wireshark supports numerous protocols and provides protocol-specific decoders to interpret and analyze different network protocols. It also offers advanced features like packet coloring, statistical analysis, packet comparison, and the ability to export captured data for further analysis or sharing with others.

Overall, Wireshark is widely used by network administrators, security professionals, and developers to diagnose network issues, troubleshoot problems, analyze network performance, and investigate security incidents by capturing and analyzing data packets over time.

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i really need help before 7 am​

i really need help before 7 am

Answers

Answer:

A. is 2.

B. is 5.

C. is 1.

D. is 4.

E. is 6.

F. is 3.

Explaination for my answer

Its bascially just rearrange to make x =

Triangle ABC is congruent to triangles BAD and CEA.

Explain why points D, A, and E are collinear.

Answers

Points D, A, and E are collinear in the given triangle.

What is the triangle?A triangle is a three-sided polygon with three vertices.The intersection of the three sides, which joins them end to end, creates the triangle's angles.The three angles of the triangle sum up to 180 degrees.

So, we have: ΔABC ≅ ΔBAD

∠DAB = ∠CBA  (If the inner wrong angles are equal)ΔABC ≅ ΔCEA∠ACB = ∠CAEAE ║ BC

AD has an intersection with AE and BC║AD, BC║AE.

Therefore, points D, A, and E are collinear in the given triangle.

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The total number of data items with a value less than the upper limit for the class is given by the _____ distribution.

Answers

The cumulative frequency distribution indicates the total number of data items with values below the class's upper limit.

By cumulative frequency, what do you mean?

Cumulative frequency analysis examines how frequently values of a phenomena occur that are less frequent than a reference value. The phenomenon could depend on time or place. Another name for cumulative frequency is frequency of non-exceedance. Each frequency from a frequency distribution table is added to the total of its predecessors to determine the cumulative frequency. Since all frequencies will have previously been added to the prior total, the final result will always be equal to the sum of all observations. The quantity of an element in a set is referred to as the element's frequency. The accumulation of all earlier frequencies up to the present time is another definition for cumulative frequency.

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A teacher gives out a variety of chocolate bars as a prize for students who correctly explain their answer.Cole randomly selects a candy from the bag what is the probability that the selected chocolate will be either cookies and cream or peanut butter cups

Answers

The probability that the selected chocolate will be either cookies and cream or peanut butter cups are,

let cookies and cream be x

and peanut butter cups be y

As these are the two chocolates in the bag,

there is a 50:50 probability

Hence,

The probability of cookies and cream = 50%

The probability of peanut butter cups=50%

As x+y=total both have equal probability

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Find the inverse of g(x)=1/x-1+2

Answers

Answer:

Find the inverse of g(x)=1/x-1+2 :

\(g^{-1} (x)=\frac{1}{x-1}\)

Al runs at a constant rate. It takes him 44 minutes to run 4 miles. Identify and graph three points that model the relationship between the total time Al runs and the number of miles he runs

Answers

I canot make the graph for you, However, 4 miles in 44 minutes means Al is running 1 mile in 11 minutes on average.

1 mile 11 minutes

3 miles 33 minutes

4 miles 44 minutes

What is the y-intercept of the function f(x)=4 – 5x?
A:-5
B:-4
C:4
D:-5

Answers

Answer:

C. 4

Step-by-step explanation:

Rewrite the equation in terms of y = mx + b

f(x) = -5x + 4

Off a grid, how do we know which measurements can help us find the area of a parallelogram?

Answers

Answer:

1) Multiply the base of the parallelogram by the height to find the area.

2)Measure or record the length of the long, flat side, or base.

3)Draw a line straight up from the base to it's parallel side. 

4)Measure the distance between your base and the top of the parallelogram for height.

5)Multiply the base by the height to find the area.

6)Always add "units squared" at the end of your problem for the correct answer. 

Step-by-step explanation:

A parallelogram is a quadrilateral, or four-sided shape, with two sets of parallel sides. Squares, rectangles, and rhombuses are special types of parallelograms, though most people think of a "slanted" rectangle, with two diagonal sides and two flat sides, when they think of the parallelogram.[1] No matter what the angle of the corners or the slant of the shape, it is easy to calculate the area of a parallelogram.

Freddie invests £6600 in an account that pays 3 % compound interest per annum for the two years, then 1 % . Work out how much money Freddie will have in his account in 8 years.

Answers

Using compound interest, it is found that Freddie will have £7433 in his account in 8 years.

What is compound interest?

The amount of money earned, in compound interest, after t years, is given by:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

In which:

A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year.

For the first two years, the parameters are given as follows:

P = 6600, r = 0.03, n = 1, t = 2.

Hence the amount is:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

\(A(2) = 6600\left(1 + 0.03)^{2}\)

A(2) = 7002.

For the final 6 years, the parameters are:

P = 7002, r = 0.01, n = 1, t = 6.

Hence the amount after 8 years is:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

\(A(6) = 7002\left(1 + 0.01)^{6}\)

A(6) = 7433.

Freddie will have £7433 in his account in 8 years.

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We draw a random sample of size 25 from a normal population with variance 2.4. If the sample mean is 12.5, what is a 99% confidence interval for the population mean? Select one: A. [11.7793, 13.2207] B. [11.7019, 13.2981] C. (11.2600, 13.7400) D. [11.3835, 13.6165) An airplane flies at an altitude of 6 miles toward a point directly over an observer. Consider and x as shown in the figure.(a) Write as a function of x.(b) Find when x = 11 miles and x = 4 miles. (Enter your answers in radians rounded to two decimal places.) How do collaborative conversations with your peers increase your understanding of a topic?you are able to get assistance while reading a book and answering homework questions you are given a variety of different questions that quiz you on your comprehension you use clear points and evidence to argue your point and persuade others you become actively engaged, apply knowledge, and make connections according to the chart above, from 1860 to 1900, there were approximately ____ miles of railroad track laid in the united states. The zoo charge $4.50 admission fee along with a $1.50 charge for each exhibit you visit. Which following graph represents this situation? X + = number of exhibit, y= the total cost. What was the Supreme Courts position in the Wategate case? apex Why would a scientist want to stain a specimen before observing it with a compound light microscope?. The following probability distributions of job satisfaction scores for a sample of information systems (IS) senior executives and middle managers range from a low of 1 (very dissatisfied) to a high of 5 (very satisfied). Job Satisfaction Score Probability IS Senior Executives IS Middle Managers 1 0.06 0.04 2 0.09 0.10 3 0.03 0.13 4 0.42 0.45 5 0.40 0.28 (a) What is the expected value of the job satisfaction score for senior executives?(b) What is the expected value of the job satisfaction score for middle managers (to 2 decimals)? Provided is a list of five different substances. How many of these substances are elements?. Which of the following taxes are commonly assessed by state and/or local governments? (Check all that apply.) Property tax. Sales tax. Income tax. a) Enumerate and discuss three (3) key financial managementdecisions involved in the case above and give a specific example ofeach that relates to Richardses Tree Farm. what impact do the amounts of energy, water, and oxegyn have on an ecosystem ? the contribution of common people in the unification campaign of Nepal In the roman republic there was a clear divide between the __________ and the __________ and the __________ and the __________. Freddy Mamani Silvestre said that people use "derogatory" terms to describe his buildings.What is a synonym for the word derogatory?O appreciativeO complimentaryO flatteringOunflattering What is the volume, in cubic feet, of a cube with an edge length of 8 feet? Find the area.Area =6 m10 msquare meters Can someone help me how did hiding in the big London store help Griffin? Let R be the region bounded by the following curves. Use the method of your choice to find the volume of the solid generated when R is revolved about the x-axis. y=5x 2and y=6x 2The volume of the solid is (Type an exact answer.) Use both the washer method and the shell method to find the volume of the solid that is generated when the region in the first quadrant bounded by y=x 2,y=25, and x=0 is revolved about the line x=5. Set up the integral that gives the volume of the solid as a single integral if possible using the disk/washer method. Select the correct choice below and fill in any answer boxes within your choice. (Type exact answers.) A. 01dx B. 0dy