Evaluate the integral using integration by parts. Do not use any other method. You must show your work. Vu x sin(x) dx

Answers

Answer 1

Integration by parts method is a method of integration that involves choosing one part of the function as the “first” function and the remaining part of the function as the “second” function.

The integral of the product of these functions can be calculated using the integration by parts formula.

Let us evaluate the integral:

∫v(x)sin(x)dx

Let us assume that

u(x) = sin(x), then,

dv(x)/dx = v(x) = v = x

To integrate the above integral using the integration by parts formula:

∫u(x)dv(x) = u(x)v - ∫v(x)du(x)/dx dx

Thus, substituting the value of u(x) and dv(x), we get:

∫sin(x)x dx = sin(x) ∫x dx - ∫ (dx/dx) (x cos(x)) dx

= -x cos(x) + sin(x) + C,

where C is the constant of integration.

Therefore, the integral using integration by parts is given by-

∫x cos(x) dx = x sin(x) - ∫sin(x) dx= -x cos(x) + sin(x) + C,

where C is the constant of integration.

Final Answer: Therefore, the integral using integration by parts is given by- ∫x cos(x) dx = -x cos(x) + sin(x) + C.

To know more about Integration

https://brainly.com/question/30215870

#SPJ11


Related Questions

Whats the median, mode and range of 6, 8, 10, 10?

Answers

Answer:

Median: 9

Mode: 10

Range: 4

Step-by-step explanation:

Median

Line up all the numbers from smallest to biggest and take the one in the middle. In this case it's both 8 and 10. So you would do (8+10)/2. which is 9

Mode

it's the number that occurs the most number of times, which is 10.

Range

Range is 10-6, so it's 4.

A mean is an arithmetic average of a set of observations. The mean, median, and the range of the given data set 6, 8, 10, 10 are 8.5, 9, and 4 respectively.

What is Mean?

A mean is an arithmetic average of a set of observations. it is given by the formula,

Mean = (Sum of observations)/Number of observations

The mean, median and range of the given data set 6, 8, 10, 10 is,

Mean = (6+8+10+10)/4 = 8.5Median = 9Range = 10-6 = 4

Hence, the mean, median, and the range of the given data set 6, 8, 10, and 10 are 8.5, 9, and 4 respectively.

Learn more about Mean:

https://brainly.com/question/16967035

#SPJ2

Marquel can eat 7 Oreos in 2 minutes. How many Oreos can he eat in 6 minutes?

Answers

Answer:

21 Oreos

Step-by-step explanation:

2 × 3 = 6

7 × 3 = 21

hope this helps

Line Segments
Find ZX

Line Segments Find ZX

Answers

Answer:

A:4.5

Step-by-step explanation:

all you need to do is count the spaces


Solve the system of equations
y = 1/2x - 3
2y + 6 = x

Answers

y = 1/2x - 3
X intercepts: (6,0) y intercepts: (0, -3)

2y + 6 = x
y = x - 6/ 2

a dataset on 91 roller coasters lists the duration of the ride in seconds in addition to the drop height in feet for some of the coasters. one​ coaster, the​ tower of​ terror, is unusual for having a large drop but a short ride. after setting it​ aside, a regression to predict duration from drop for the remaining 90 coasters has r​29.4%. complete parts a through c.a) What are the variable and units in this regression? The predictor variable is ___ in units of ___ and the response variable is ___ in units of ___ b) What units does the slope have? Feet, Seconds per foot, Seconds, Feet per second. c) Is the slope probably positive or probably negative? Explain. The slope is probably ____ because ___

Answers

(a) The predictor variable is Fall in feet and the response variable is Duration in seconds.

(b) The slope is in seconds per foot.

(c) The slope may be negative, as greater drop heights generally result in longer travel times.

(a) The predictor variable in this regression is Drop, which represents the drop height of the roller coaster, in feet, in feet. The response variable is Duration, which represents the duration of the trip, in seconds, in seconds.

(b) The units of slope in this regression are seconds per foot. This means that for each unit of increase in descent height in feet, the travel time will increase or decrease the value of the slope, measured in seconds per foot.

(c) The slope can be negative, as greater drop heights generally result in longer ride times, and the Tower of Terror roller coaster, which was exceptionally short despite its large drop height, has were removed from the analysis.

Therefore, the remaining 90 roller coasters in the dataset likely exhibit a negative relationship between drop height and time, meaning that as drop height increases, ride time decreases .

The Low R-value squared 29.4% means that the relationship between roller coaster drop and ride time in the data set is highly variable, but the negative slope indicates a general downward trend.

Learn more about Slope:

https://brainly.com/question/3605446

#SPJ4

pls someone answer like bruh if i fail math class my mom is going to beat my ahh i just dont understand math im gona cry istg "
In a family, three children were born every two years. Together they are now 21 years old." wHAT DOES thsi MEAN I SWEAR PLEASE IM JUST TOO DUBM BRUH

Answers

Answer:

Lol same

Step-by-step explanation:

alright ima try uhm i think they have 3 children every 2 years so times 3 children with 2 years untill u get 21?

Answer:

ok this is what I think the first child we'll take his or her age to beX the second child will be x+ 2 and the third child will be x + 4 so it's means to get the ages you have to add all of them and quit it to 21 so it will be x + x + 2 + x + 4 is equals to 21 collect the like terms x + x + x + 2 + 4 is equals to 21 3x + 6 is equals to 21 sum of 6 over the equals sign to have 3x is equals to 21 - 6 3 x is equals to 15 divide both sides by 3 so x is 5 then substitute

If a recipe calls for 2 tablespoons of fresh parsley and you only have dried parsley on
hand, how much parsley should you use?

Answers

Answer:

2.666

Step-by-step explanation:

Just use a third the amount your recipe calls for if you're swapping dried herbs for fresh.

how many times doe 56 go into 512

Answers

Answer:

9 times.

Step-by-step explanation:

56 multiplied by 9 is 504, and if you add another 56, the number would be greater than 512, so the answer is 9 times.

Answer:

9.14285714286

Step-by-step explanation:

512 ÷ 56 = 9.14285714286

Create a polynomial with two terms and a degree of 4

Answers

Answer:

\( {3x}^{4} + 4x\)

Step-by-step explanation:

The first number's exponenet represents the degree and 2 terms are present, one is 3x^4 and the other is 4x.

What property is being illustrated below?
2(7+3)=2(7)+2(3)

Answers

Answer: Associative property

Step-by-step explanation:

6(n-3)
Use distributive property to write each expression

Answers

The answer is (6•n) - (6•3)= 6n-9

The graph shows percentages of sales made by various divisions of a company in one year. What are the angles formed by the segments for each​ division? What are the missing​ percentages? Explain how you were able to determine each percentage.

The graph shows percentages of sales made by various divisions of a company in one year. What are the

Answers

Answer:

Division C = 9%

Division E = 10%

Step-by-step explanation:

From the pie chart attached,

Let the missing percentage of division C and E are c% and e% respectively.

Since, division B + division C + division D = 50%

[Divisions on one half of the circle]

23% + c% + 18% = 50%

41% + c% = 50%

c = 50 - 41

c = 9%

Similarly, division A + division F + division E = 50%

27 + 13 + e = 50

40 + e = 50

e = 10%

what types of deviations from ideal pronunciation of individual words occurs when words are strung together

Answers

When words are strung together in speech, deviations from ideal pronunciation can occur due to various factors such as coarticulation, assimilation, elision, and reduced vowel sounds.

When words are spoken in rapid succession, coarticulation plays a significant role in shaping the pronunciation of individual words. Coarticulation refers to the influence of neighboring sounds on the production of a particular sound. For example, in the phrase "black cat," the /k/ sound in "black" may be influenced by the following /k/ sound in "cat," resulting in a slight modification or assimilation of the sound.

Assimilation occurs when sounds become more similar to nearby sounds. For instance, in the phrase "handbag," the /n/ sound in "hand" may assimilate to the /b/ sound in "bag," making it nasal (as in "hambag") or even causing complete elision of the /n/ sound. Elision refers to the omission or deletion of sounds, often in unstressed or weak positions, such as the reduction of the /ə/ vowel sound in "a" or "the" to a schwa sound, as in "uh" or "thuh."  

Additionally, when words are strung together, certain vowel sounds may be reduced or shortened to accommodate the natural rhythm of speech. This reduction can result in changes to the stress patterns and lengths of vowels within words. Overall, these deviations from ideal pronunciation in connected speech are a natural part of spoken language and contribute to the fluidity and efficiency of communication.

Learn more about deviation here:

https://brainly.com/question/31835352

#SPJ11

I dont pay attention to class at all and Im lost so um

I dont pay attention to class at all and Im lost so um

Answers

Answer:

The answer is all three angles are similar to the original one

Step-by-step explanation:

Because they the three triangles are the same triangles, all you did was move it to different place by reflecting and rotating (there is a change in their position and coordinates). If it was dilation, there would be a change in size, but still there wouldn't be a change in the angles.

Jerome added two number. The um wa 83 one of the number are 45 what i the other number

Answers

The other number will be when added the two number = 38

What is Number?

A number is a mathematical object that can be used to count, measure, and label things. The natural numbers 1, 2, 3, 4, and so on are the original examples. Number words can be used to represent numbers in language.

Given,

The sum was 83

The one number is 45

Let's say the number we be = x

The sum of 45 and x  must be 83 so we can say

x + 45 = 83

Now we can solve for x while keeping the equation balanced:

x + 45 -45 = 83-45

x +0 = 38

x = 38

The other number will be = 38

To learn more about Numbers visit:

brainly.com/question/17429689

#SPJ4

Start a new sentence file and translate the following into FOL. Use the names and predicatespresented in Table 1.2 on page 30.1. Mar is a student, not a pet.2. Claire fed Folly at 2 pm and then ten minutes later gave her to Max.3. Folly belonged to either Max or Claire at 2:05 pm.4. Neither Mar nor Claire fed Folly at 2 pm or at 2:05 pm.5. 2:00 pm is between 1:55 pm and 2:05 pm.6. When Max gave Folly to Claire at 2 pm, Folly wasn't hungry, but she was an hourlater.

Answers

Claire fed Folly at 2 pm, gave Folly to Max at 2:10 pm. Folly belonged to either Max or Claire at 2:05 pm. Neither Mar nor Claire fed Folly at 2 pm or 2:05 pm. The event occurred between 1:55 pm and 2:05 pm. At 2 pm, Max took Folly from Claire. Folly wasn't hungry at 2 pm but was at 3 pm.

1. student(Mar) ∧ ¬pet(Mar)2. fed(Claire, Folly, 2pm) ∧ gave(Claire, Folly, Max, 2:10pm)3. (belongs(Folly, Max, 2:05pm) ∨ belongs(Folly, Claire, 2:05pm))4. ¬(fed(Mar, Folly, 2pm) ∨ fed(Claire, Folly, 2pm) ∨ fed(Mar, Folly, 2:05pm) ∨ fed(Claire, Folly, 2:05pm))5. between(2pm, 1:55pm, 2:05pm)6. ¬hungry(Folly, 2pm) ∧ hourLater(Folly, 2pm, 3pm)

1. Student(Mar) ∧ ¬Pet(Mar)2. Fed(Claire, Folly, 2pm) ∧ Gave(Claire, Folly, Max, 2:10pm)3. BelongsTo(Folly, Max, 2:05pm) ∨ BelongsTo(Folly, Claire, 2:05pm)4. ¬(Fed(Mar, Folly, 2pm) ∨ Fed(Claire, Folly, 2pm) ∨ Fed(Mar, Folly, 2:05pm) ∨ Fed(Claire, Folly, 2:05pm))

5. Between(2:00pm, 1:55pm, 2:05pm)6. Gave(Max, Folly, Claire, 2pm) ∧ ¬Hungry(Folly, 2pm) ∧ Hungry(Folly, 3pm)

Learn more about mathematics here: brainly.com/question/27235369

#SPJ11

please solve this for me​

please solve this for me

Answers

Answer:

infinity many solutions is the correct answer of this question .

plz mark my answer as brainlist plzzzz vote me also

it's 100% correct answer

90 ÷ h
can you please help me with my math homework

90 hcan you please help me with my math homework

Answers

Answer:

15. -4

16. -2

17. 3

18. -3

19. 6

20. 0

21. 3

22. 4

23. 12

Step-by-step explanation:

f = -15

g = 5

h = -45

15. -20/ 5 = -4

16. 90/ -45 = -2

17. -45/ -15 = 3

18. (-15) (5) = -75/ 25 = -3

19. -15 - (-45) = 60/10 = 6

20. 5 - 5/ -1 = 0

21. - (15)/ 5 = 3

22. -45 - 3 (5)/ -15 = -60/ -15 = 4 [note: do parenthesis first)

23. -15 + (-45) = -60/ -(5) = 12

90÷h

90÷(-45)

-2

hope it helps...!!!

runge-kutta methods are generally of the form: if is a vector of length , then is a what? group of answer choices a scalar vector of length m/2 matrix of size mxm vector of length m

Answers

The Runge-Kutta methods are a family of numerical methods used for solving ordinary differential equations (ODEs).

These methods approximate the solution of an ODE by calculating a sequence of values. If the vector is of length m, then the Runge-Kutta method will calculate a vector of length m at each step.

The general form of the Runge-Kutta methods is given by: y_{n+1} = y_n + h*(a_1*k_1 + a_2*k_2 + ... + a_m*k_m) where y_n is the value of the solution at time t_n, h is the step size, k_i are intermediate values calculated using the function f(t,y), and a_i are coefficients that determine the accuracy of the method.

The answer to your question is that if the vector is of length m, then the Runge-Kutta method will calculate a vector of length m. This vector represents the approximate solution of the ODE at the next time step.

The method is often used in numerical analysis because of its high accuracy and robustness. It is a popular choice for solving ODEs in a wide range of applications, from physics to engineering and biology.

learn more about vector here:brainly.com/question/29740341

#SPJ11

What kind of a fraction is 6 1/3?

Answers

Answer:

6 1/3 Is a mixed fraction

Mixed fraction because an improper fraction would have a greater numerator then a denominator and wouldn’t be simplified

suppose is a critical point of a function with continuous second derivatives. in each case, what can you say about ?

Answers

Yes, if is a critical point of a function with continuous second derivatives, then it is a stationary point.

This means that the function's derivative is equal to 0 at that point and it is neither increasing or decreasing.

A stationary point is a point on the graph of a function where the function's derivative is equal to 0. This is an important property of a function and it can be used to determine the properties of the function.

At a stationary point, the rate of change of the function is equal to 0, so the function is neither increasing or decreasing. In other words, the function is neither increasing or decreasing at that point.

This property can be used to analyze the function and determine its characteristics. For example, it can be used to identify local minima or maxima.

To know more about critical point click on below link:

https://brainly.com/question/31017064#

#SPJ11

cards and 20% with debit cards. The transaction fees charged by the credit and debit card issuers are as follows: Credit cards: $0.50 per transaction +2% of the amount charged Debit cards: $0.30 per transaction +1% of the amount charged Read the Requirement 1. How much of the total sales revenue is expected to be paid in cash? The total sales revenue expected to be paid in cash is Requirement 2. How many customer transactions does the company expect in January? In January, the number of transactions the company expects is Requirement 3 . How much of the total sales revenue is expected to be paid with credit cards? The total sales revenue expected to be paid with credit cards is Requirement 4. How many customer transactions will be paid for by customers using credit cards? The number of customer transactions paid for using credit cards is Requirement 5. When budgeting for January's operating expenses, how much should the restaurant expect to incur in credit card transaction fees? In January, the restaurant should expect to incur transaction fees of Requirement 6 . How much of the total sales revenue is expected to be paid with debit cards? The total sales revenue expected to be paid with debit cards is Requirement 7. How many customer transactions will be paid for by customers using debit cards? The number of customer transactions paid for by customers using debit cards is Requirement 8 . When budgeting for January's operating expenses, how much should the restaurant expect to incur in debit card transaction fees? In January, the restaurant should expect to incur debit card transaction fees of the funds on the same day the transactions occur at the restaurant (there is no processing delay). The amount that will be deposited in the restaurant's bank account during the month of January related to credit and debit card sales is Requirement 10. What is the total amount of money that the restaurant expects to deposit in its bank account during the month of January from cash, credit card, and debit card sales? Again assume the credit and debit card issuers deposit the funds on the same day that the transaction occurs. The amount that will be deposited in the restaurant's bank account during the month of January from cash, credit card, and and debit card sales is

Answers

The total amount expected to be deposited in the restaurant's bank account during the month of January from cash, credit card, and debit card sales is equal to the total sales revenue, which is $X.

Cash sales: 40%

Credit card sales: 40%

Debit card sales: 20%

Requirement 1: How much of the total sales revenue is expected to be paid in cash?

Assuming the total sales revenue for January is $X, the amount expected to be paid in cash is 40% of X.

Cash sales = 0.4 × X

Requirement 2: How many customer transactions does the company expect in January?

The number of customer transactions can vary, and the information provided doesn't specify a particular value. You would need to have additional data or assumptions to determine the number of transactions.

Requirement 3: How much of the total sales revenue is expected to be paid with credit cards?

Assuming the total sales revenue for January is $X, the amount expected to be paid with credit cards is 40% of X.

Credit card sales = 0.4 × X

Requirement 4: How many customer transactions will be paid for by customers using credit cards?

Similar to Requirement 2, the number of customer transactions paid for by credit cards would require additional data or assumptions to determine.

Requirement 5: When budgeting for January's operating expenses, how much should the restaurant expect to incur in credit card transaction fees?

To calculate the credit card transaction fees, we need to consider two components: a fixed fee per transaction and a percentage fee based on the amount charged.

Assuming the number of credit card transactions is Y, and the average amount charged per transaction is Z, the credit card transaction fees can be calculated as:

Credit card transaction fees = (0.50 × Y) + (0.02 × Z × Y)

Requirement 6: How much of the total sales revenue is expected to be paid with debit cards?

Assuming the total sales revenue for January is $X, the amount expected to be paid with debit cards is 20% of X.

Debit card sales = 0.2 × X

Requirement 7: How many customer transactions will be paid for by customers using debit cards?

Similar to Requirement 2 and Requirement 4, the number of customer transactions paid for by debit cards would require additional data or assumptions to determine.

Requirement 8: When budgeting for January's operating expenses, how much should the restaurant expect to incur in debit card transaction fees?

Similar to Requirement 5, the debit card transaction fees can be calculated using the same formula but with different values for the fixed fee per transaction and the percentage fee based on the amount charged.

Requirement 10: What is the total amount of money that the restaurant expects to deposit in its bank account during the month of January from cash, credit card, and debit card sales?

Assuming the total sales revenue for January is $X, the total amount expected to be deposited in the bank account is the sum of cash sales, credit card sales, and debit card sales.

Total deposits = Cash sales + Credit card sales + Debit card sales

= 0.4 × X + 0.4 × X + 0.2 × X

= X

Therefore, the total amount expected to be deposited in the restaurant's bank account during the month of January from cash, credit card, and debit card sales is equal to the total sales revenue, which is $X.

To know more about total amount click here :

https://brainly.com/question/17143448

#SPJ4

Help!!! ( this is prob easy for you!!! )

Help!!! ( this is prob easy for you!!! )

Answers

Answer:

C

Step-by-step explanation:

Both median and mean would decrease

Hey, I have been struggling on this for a bit-I hope you can help!
The function F is defined by \(F(x)=12/x +1/2\). Find each value of the function.

\(F(a/2)\)

Answers

Answer:

Step-by-step explanation:y = 4x - 2

y = -x + 3

Name the segments in the figure below. Ignore the things I filled in. Please no links, thanks!

Name the segments in the figure below. Ignore the things I filled in. Please no links, thanks!

Answers

Answer:

C., G, and J

Step-by-step explanation:

There is 28 kg 750 g of sugar in a sack. How many tins of 500 g sugar can be filled using the sugar in the sack?

Answers

Answer:

Step-by-step explanation:

28 kg + 750 g = 28*1000 + 750

                          28000 + 750

                       = 28750 g

Number of sack = Total quantity of sugar ÷ quantity of sugar in a sack

                           = 28750 ÷ 500

                           =  57 sacks

Answer:

57 sacks

Step-by-step explanation:

28750 ÷ 500 =

57 sacks

Glad to help! :)

The graph below shows the percent of times a family ate at different restaurants in a year. The family ate at MacGregor’s 27 times.



How many times did the family eat at restaurants in a year?



20% amys place
10% pizza hut
10% taco bell
27 times adams house

Answers

Answer:

b pizza hut

Step-by-step explanation:

sorry im wrong

write an iterated integral for over the region r bounded by y, y0, and x using a) vertical cross-sections, b) horizontal cross-sections.

Answers

The double integral can be written as:

∫∫R f(x,y) dA = ∫a^b ∫f(x)g(x) f(x,y) dy dx

Without specific values for y0 and x, I'll provide the general formulas for setting up iterated integrals over a region R bounded by y = g(x), y = f(x), and the vertical line x = a using both vertical and horizontal cross-sections.

a) Vertical cross-sections:

If we want to integrate a function f(x,y) over the region R using vertical cross-sections, we need to integrate with respect to x first. Each vertical cross-section is a rectangle with base dx and height (g(x) - f(x)). Therefore, the double integral can be written as:

∫∫R f(x,y) dA = ∫a^b ∫f(x)g(x) f(x,y) dy dx

b) Horizontal cross-sections:

If we want to integrate a function f(x,y) over the region R using horizontal cross-sections, we need to integrate with respect to y first. Each horizontal cross-section is a rectangle with base (g(y) - f(y)) and height dy. Therefore, the double integral can be written as:

∫∫R f(x,y) dA = ∫c^d ∫f(y)g(y) f(x,y) dx dy

Here, a, b, c, and d are the appropriate bounds for the region R.

To know more about integrals refer here:

https://brainly.com/question/18125359

#SPJ11

Use similar triangles to determine the equation of the line with a slope of 1/2 that passes through the point (0,2)

Answers

Answer:

The answer is (A)

Step-by-step explanation:

find the points on the ellipse 3x2 2y2=1 where f(x,y)=xy has its extreme values.

Answers

The extreme values of f(x, y) = xy occur at the points (2, 1) and (-2, -1) on the ellipse \(3x^{2} +2y^{2} =1\).

To find the extreme values of f(x, y) = xy on the ellipse \(3x^{2} +2y^{2} =1\), we can use the method of Lagrange multipliers.

Define the function g(x, y) = \(3x^{2} +2y^{2} -1\). We need to find points (x, y) where the gradient of f is proportional to the gradient of g:

∇f = λ∇g

The gradient of f is ∇f = (y, x), and the gradient of g is ∇g = (6x, 4y). Therefore, we have the following system of equations:

y = 6λx
x = 4λy

Substitute the second equation into the first:

y = 6λ(4λy)
y = \(24λ^{2y}\)

If y ≠ 0, then 1 = \(24λ^{2}\), and λ = ±1/2. Plugging this value into the second equation gives x = ±2. Thus, we have two potential extreme points: (2, 1) and (-2, -1).

Now consider the case when y = 0. The constraint equation becomes \(3x^{2} =1\), and x = ±1/√3. However, these points correspond to f(x, y) = 0, which is not an extreme value.

Therefore, the extreme values of f(x, y) = xy occur at the points (2, 1) and (-2, -1) on the ellipse \(3x^{2} +2y^{2} =1\).

Know more about Extreme values here:

https://brainly.com/question/29667439

#SPJ11

Other Questions
When you lift a book from the ground to your desk, what kind of work do you do, negative or positive? By lifting the book, what do you change? Does the book gain or lose energy? What kind of energy? What specific concerns led Roosevelt to take on the trusts such as railroad companies? The evidence indicates that industrial stock prices decrease by approximately 3%, on average, when new equity issues are announced. True False With out uing dividing power of 10 to write three diviion expreion that are each eqvilent to 35. 78 / 6 Question:___ uses data collected by satellites combined with data collected at street level tocreate detailed maps. 2) Jupiter is more massive than Earth, so has more gravity. The acceleration due to gravity on Jupiter is about 25 m/s. How far does an object on Jupiter fall in 4 s? when creating an e-commerce website, you should ensure it has a clear customer service page and a secure connection. this best describes which content recommendation? Many people sabotage their goals and dreams by unconsciously choosing actions, thoughts, and/or emotions that get them off course from their goals and dreams.True or False Por qu pensaba Mam Elena que su hija Tita era una rebelde? Qu haca para castigarla?Story: Como agua para chocolate. match each ratio to the situation that it correctly models. How much to consume less than and ideally less than percent of you calories from saturated fats? Which of the equations represents the function?esA)y=x3B)y=xC)y = -x3D)y = -x? Which of the fallowing is not a precedent set by george Washington Wedding Beliefs,Rituals andSuperstitions(Before) pleaseee help find for b The image represents what geometric construction? 1)Please read the scenario and answer the questions.Your brother is an enthusiatic hiker. He returns from a walking vacation and tells you that although he had a good time, he ran into a bit of trouble on one of the days he was away because he had got lost in the woods for several hours. Although he took enough food for the day, your brother ran out of water. Luckily, he came across a small stream and was able to fill up his water bottle and to finish his hike without any further problems. Your brother mentions as an aside that he must have eaten something bad while he was away, because he has had pretty bad diarrhea since he got back. He tells you he doesn't feel too bad, but that he has been having what he describes as "explosive diarrhea." He also complains of abdominal pain. You urge him to go to the doctor because you suspect that he may have something more than just food-related diarrhea.You suspect that your brother has giardiasis, caused by Giardia lamblia. Which of the following is NOT true about this disease?A) The cysts of G. lamblia are are resistant to stomach acid and are infectious.B) The causative organism has energy-metabolizing organelles called mitosomes.C) Giardiasis is a zoonotic disease.D) A person with giardiasis diarrhea is likely to eliminate G. lamblia cysts rather than trophozoites.E) Chlorinated water may still contain G. lamblia because the cysts are resistant to this chemical.2. A patient presents with bad halitosis, red and swollen gingiva, and several loose teeth. You take a sample from the gum line and after performing a stain, note spirochete bacteria as well as some bacilli. This patient likely has:A) gingivitis.B) acute necrotizing ulcerative gingivitis.C) dental caries.D) periodontal disease.E) dental caries AND acute necrotizing ulcerative gingivitis. Where are the male and female parts of a flower located? f(x)=10(5)^x what is f(1) ?? is the measure of the average kinetic energy of the particles of a substance.-Potential energy-Thermal energy-Heat-Temperature