Use calculus to find the volume of the following solid S: The base of S is the triangular region with vertices (0, 0), (3, 0), and (0, 2). Cross-sections perpendicular to the y-axis are isosceles triangles with height equal to the base
Answers
Answer:
None
Explanation:
Cuz Ur input is all about health you should try putting these questions in Maths sections <3333 But I will try ans yr questions. plese give me some time...
Applying integration, we obtain the volume of the solid S is 19 cubic units.
How the solution was obtainedTo find the volume of the solid S, we will integrate the area of each isosceles cross-section perpendicular to the y-axis with respect to y. Let's call the height of each isosceles triangle h(y) and the base of the triangle at y is x(y). From the problem statement, we know that h(y) = x(y).
To find x(y), we can use the equation of the line passing through the points (0,2) and (3,0), which is y = (-2/3)x + 2. Solving for x, we get x = (3/2)y + 2.
Now, we can express the volume of the solid as an integral:
V = ∫[a,b] A(y) dy
where [a,b] is the interval of y-values that the solid occupies, and A(y) is the area of the cross-section at y. Since the solid is bounded by the x-axis and the line y = 2 - (2/3)x, we have a = 0 and b = 2.
At a given y, the base of the isosceles triangle is x(y) = (3/2)y + 2, and the height is h(y) = x(y) = (3/2)y + 2. Therefore, the area of the cross-section at y is A(y) = (1/2) x(y) h(y) = (1/2) (3/2)y^2 + 3y + 4.
Inserting the expressions, we get:
V = ∫[0,2] (1/2) (3/2)y^2 + 3y + 4 dy
Integrating, we get:
V = (1/4) y^4 + (9/4) y^2 + 4y |[0,2]
V = (1/4) (16) + (9/4) (4) + 8
V = 10 + (9/4) (4)
V = 19 cubic units
Therefore, the volume of the solid S is 19 cubic units.
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Related Questions
i need help asap pls !!
Attendance count: Exercise on a daily basis can improve an individuals physical fitness levels as well as improve his/her health.
Write a paragraph at least 5 sentences supporting this statement.
Use complete sentences in paragraph form and grammar and spelling count.
Answers
Answer:
Exercise improves mental health by reducing anxiety, depression, and negative mood and by improving self-esteem and cognitive function. Exercise has also been found to alleviate symptoms such as low self-esteem and social withdrawal.
Most of us know the many physical benefits of exercise: weight control, lower blood pressure, reduced risk of diabetes, and increased energy, just to name a few. But what about the psychological benefits of exercise? From easing symptoms of depression and anxiety to keeping your memory sharp, there’s no shortage of mental benefits of exercise. Whether you need motivation to get to the gym or to just take a brisk walk, the five psychological benefits of physical activity below will have you tying up your shoe laces and heading out the door.
Help for depression and anxiety
Exercise is a scientifically proven mood booster, decreasing symptoms of both depression and anxiety. Physical activity kicks up endorphin levels, the body’s famous “feel good” chemical produced by the brain and spinal cord that produces feelings of happiness and euphoria. Even just moderate exercise throughout the week can improve depression and anxiety, so much so that some doctors recommend trying out an exercise regimen for these conditions before turning to medication.
Decreased stress
Another mental benefit of exercise is reduced stress levels—something that can make us all happier. Increasing your heart rate can actually reverse stress-induced brain damage by stimulating the production of neurohormones like norepinephrine, which not only improve cognition and mood but improve thinking clouded by stressful events. Exercise also forces the body’s central and sympathetic nervous systems to communicate with one another, improving the body’s overall ability to respond to stress.
Increased self-esteem and self-confidence
From improving endurance to losing weight and increasing muscle tone, there’s no shortage of physical achievements that come about from regular exercise. All those achievements can all add up to a whopping boost of self-esteem—and the confidence that comes with it. You may not set out for better-fitting clothes, a slimmer physique, and the ability to climb a hill without getting winded. Oftentimes it happens before you even realize it. It’s just one of the many benefits of physical activity that boost your body, mind, and spirit.
Better sleep
If you have trouble getting a good night’s sleep, exercise can help with that, too. Physical activity increases body temperature, which can have calming effects on the mind, leading to less sheep counting and more shuteye. Exercise also helps regulate your circadian rhythm, our bodies’ built-in alarm clock that controls when we feel tired and when we feel alert. (Although improved sleep is a psychological benefit of exercise, sleep experts recommend not exercising close to bedtime.)
Brain boost
From building intelligence to strengthening memory, exercise boosts brainpower in a number of ways. Studies on mice and humans indicate that cardiovascular exercise creates new brain cells—a process called neurogenesis—and improve overall brain performance. It also prevents cognitive decline and memory loss by strengthening the hippocampus, the part of the brain responsible for memory and learning. Studies also prove that physical activity boosts creativity and mental energy. So if you’re in need of inspiration, your big idea could be just a walk or jog away.
Match the following words with the correct definition.
Flexibility
Body Composition
Muscular Strength
Cardiovascular Fitness
Muscle Endurance
_____ is determined by the maximum amount of weight a muscle or muscle group can safely lift at one time.
____ refers to the percentage of lean body mass to fat.
_____ is the ability to sustain moderate or high intensity activity over an extended period of time.
____ of your muscles refers to their range of motion around a joint.
____ is measured by the amount of time a muscle group can sustain one contraction or the number of repetitions a muscle group can perform in one set.
Answers
2) body composition
3) cardiovascular fitness
4) flexibility
5)muscle endurance
Muscular strength is determined by the maximum amount of weight a muscle or muscle group can safely lift at one time.
Body composition refers to the percentage of lean body mass to fat.
Cardiovascular fitness is the ability to sustain moderate or high intensity activity over an extended period of time.
Flexibility of your muscles refers to their range of motion around a joint.
Muscle endurance is measured by the amount of time a muscle group can sustain one contraction or the number of repetitions a muscle group can perform in one set.
What is Muscular strength?Muscular strength is the amount of force you can put out or the amount of weight you can lift. Muscular endurance is how many times you can move that weight without getting exhausted. Physical strength is the measure of a human's exertion of force on physical objects. Increasing physical strength is the goal of strength training.
Therefore, 1) muscular strength, 2) body composition, 3) cardiovascular fitness, 4) flexibility and 5)muscle endurance are the correct answers.
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How badly can you injure you ankle by just rolling it?
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A person with moral objections to eating animals protests outside of his school cafeteria. When some classmates begin to pick on him, a teacher who eats meat herself intervenes and tells the classmates to stop. This demonstrates which of the following civic virtues best?
a
Patriotism
b
Consensus building
c
Respect for the rights of others
d
Individual responsibility
Answers
Answer:
d respect for the rights of others
Exercising between _________ and _______ times a week is the recommended amount to reach the minimum level of fitness.
Answers
Answer:
I would say between 3-5 times a week.
What is the sub-group of AA that helps young people come together to share their experiences of having been affected by someone else’s drinking?
Answer:
Answers
Answer:
The sub-group of AA that helps young people come together to share their experiences of having been affected by someone else's drinking is called Al-Anon. Al-Anon is a 12-step program for people who have been affected by someone else's drinking, including children, spouses, partners, parents, and friends. Al-Anon meetings are held all over the world, and they are free to attend.
Al-Anon is based on the idea that alcoholism is a family disease, and that everyone in the family is affected by the alcoholic's drinking. Al-Anon meetings provide a safe space for people to share their experiences, feelings, and fears about alcoholism. Meetings also provide information about alcoholism and how to cope with its effects.
Explanation:
8.10 Graded Assignment: Implementing A Community Health Action Plan
1. Describe how you identified an area of need in your community. Explain what you learned from your local health department’s website. Explain what you learned from any other government agencies or nonprofit organizations’ websites. Make sure to explain how you used the information to reach a conclusion about an area of need. (please include the website links in your answer)
Answer (5 sentence minimum)
2. Describe the data you found. Explain what you learned from your community’s or a nearby community’s Community Health Improvement Plan. Explain what you learned from the data you found on the state department of health’s webpage for health behaviors. Describe general trends and also give specific information and numbers.
3. Describe the plan you created to address a community environmental health or safety issue. Make sure to explain why you chose to address that issue, who is going to help you, what you are going to do, when you are going to do it, and where your plan will be put into place.
Answer (3 sentence minimum)
4. Describe how you plan to monitor and measure progress. Make sure to explain how you set up smaller tasks to accomplish, schedules, and deadlines. Also, explain your plan to check on your goals at regular intervals.
Answer (3 sentence minimum)
Answers
Answer:
A community health improvement plan to reduce childhood obesity includes engaging children in physical activities and reducing processed foods from their diet.
Explanation:
What is a Community Health Improvement Plan?
A Community Health Improvement Plan is a plan designed by the local community health department to improve the health of individuals in the community.
A recent community health need is the issue or rising cases of childhood obesity.
Statistics show that the incidence of childhood obesity in 2020 was 22.4% up from 19.3% in 2019.
In order to reduce this worrisome trend, the following steps are recommended:
giving children less television and internet gaming time
involving children in physical activities in school
cutting down junk foods from children's diet
Therefore, a community health improvement plan to combat childhood obesity would involve engaging children in more physical activities as well as reducing sugars and processed foods from their diet.
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Answer:
A community health improvement plan to reduce childhood obesity includes engaging children in physical activities and reducing processed foods from their diet.
Explanation:
What is a Community Health Improvement Plan?
A Community Health Improvement Plan is a plan designed by the local community health department to improve the health of individuals in the community.
A recent community health need is the issue or rising cases of childhood obesity.
Statistics show that the incidence of childhood obesity in 2020 was 22.4% up from 19.3% in 2019.
In order to reduce this worrisome trend, the following steps are recommended:
giving children less television and internet gaming time
involving children in physical activities in school
cutting down junk foods from children's diet
Therefore, a community health improvement plan to combat childhood obesity would involve engaging children in more physical activities as well as reducing sugars and processed foods from their diet.
Explanation:
How does squatting help your overall health and well-being? How do you feel before stretching? How do you feel after stretching?
Answers
Answer:
Stretching has been shown to activate your parasympathetic nervous system. When this system is activated, it can result in a feeling of calmness and relaxation.
What is the main organ of the cardiovascular system?
Question 1 options:
the lungs
the heart
the spleen
the liver
Answers
heart = cardio and blood vessels = vascular. since the cardiovascular system is responsible for pumping blood into the body and circulating it around, this seems to be the logical answer.
Why Do We Sleep? (Video // Questions 1-4)
1. How does this video on sleep fit into the eight dimensions of wellness?
2. Foster discusses some theories behind why sleep is so important. In his third theory, what examples does he give of how sleep helps us cognitively?
3. What are the dangers of not getting enough sleep? And what kind of impact does this have on our health?
4. On the whole, do you get enough sleep? How does this positively or negatively affect your health that you have noticed?
5. What is the connection between sleep and mental illness? How does this play into your understanding of the eight dimensions of wellness?
Answers
What are your good points? Positive views about yourself
What are your bad points? Things you could be better at, negative views.
Why is it important to recognize both?
Answers
For your work
Tell us about what you are good at, are you good at art or at Math... To help you with your work Fill in the blank!! :)
Some good points that I see in myself are ____, ____, ____, & ____ ( etc )
Positive views that I see in myself would be that ___, ___, ___& ____ ( etc)
But I do have some negative views about my being..
Some activities that im not very sharp in would be ____ ( List Something your not very good in Try and list more than one thing!!! )
When positive emotions open us up to new possibilities, we are more able to learn and build on our skills. That leads to doing better on tasks and tests. When I think better about myself it leads me to be happier, healthier, learn better, and get along well with others.
Negative thinking helps you look at yourself and others more realistically. Negative thinking is good but... except when it isn't. Sometimes it makes sense to give up unrealistic ambitions and hopes and put your energy into a new endeavor
What healthcare professional and abbreviation is described in the paragraph? A is a healthcare professional who works under the supervision of a laboratory technologist or pathologist to prepare tissue slides for testing and to perform simple blood tests. The abbreviation for this healthcare professional is . please help meeeeee
Answers
Answer: MLT stands for Medical Laboratory Technician. They work under the supervision of a laboratory technologist or pathologist to prepare tissue slides for testing, and they perform simple blood tests.
EMT stands for Emergency Medical Technician. They provide emergency care to patients and prepares patients for transport to a healthcare facility.
LVN (or LPN) stands for Licensed Vocational (or Practical) Nurse. They work under the superivision of a registered nurse in providing nursing care to patients.
MD stands for Medical Doctor. They provide general medical care to patients of all ages.
MLT stands for Medical Laboratory Technician. They work under the supervision of a laboratory technologist or pathologist to prepare tissue slides for testing, and they perform simple blood tests.
OD stands for Doctor of Optometry. They treat patients with conditions of the eyes.
OTR stands for Occupational Therapist Registered. They help patients develop, maintain, or restore skills for satisfying and indepenent living.
RN stands for Registered Nurse. They provide nursing care to patients of all ages.
RRT stands for Registered Respiratory Therapist or Registered Radiologic Technologist. Respiratory therapists provide respiratory care to patients. Radiologic technologists provide diagnostic imaging procedures.
Medical Laboratory Technician (MLT) is a trained healthcare professional who works in a clinical laboratory setting. They play a crucial role in assisting laboratory technologists or pathologists in conducting various medical tests and procedures.
Their primary responsibilities include MLTs are skilled in processing tissue samples obtained from biopsies or surgical procedures. They carefully prepare thin sections of these tissues, stain them, and mount them on slides, so they can be examined under a microscope for diagnostic purposes. MLTs are proficient in conducting a wide range of routine laboratory tests on blood samples.
MLTs work under the supervision of laboratory technologists or pathologists, who are more highly trained professionals in the field of medical laboratory science. Together, they form a crucial team that plays a vital role in diagnosing and monitoring various medical conditions, helping healthcare providers make informed decisions about patient care.
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Multiple Choice
We are only supposed to be friendly to people that look and act similar to ourselves.
True
False
Answers
Answer: False
Explanation: because you should be nice to anyone.
Answer: False
Explanation: You should be friendly to everyone even they look and act different than you :)
MARKING BRAINLIEST FAST!!!
True Or False?! The pharynx is part of the Respiratory and Digestive Systems.
Answers
Answer:
I say it's true because it receives the food and air from mouth and nasal cavities.
ℍ! ℍ '? . , ℕ , , , , .
Answers
Answer: hellooooooooooooooo
Answer:
Oh, oh
Oh, I can't get it back
But I don't want it back
I realized that she don't know how to act
Never been a du m b dude, no, I'm not dense
I just had a slight lack of common sense
I was the good guy
She was the bad girl
I'm thinking one girl
She thinking me, Earl, James, and Jimmy
Yep, she had plenty
But love for me, she didn't have any
I was inviting (her into my heart)
Hmm, but she was out riding (in some other man's car uh)
She was my night time (thought I was her star)
Guess I was wrong, but see, I'm strong
Won't take long for me to move on
Oh, please, don't worry 'bout me, I'm fine
(Please, don't worry 'bout me, I'm fine)
Only gonna play the fool one time
(Only gonna play the fool one time)
Trust me when I say that I'll be okay
Go on, girl (go on, girl)
Go on, girl (go on, girl)
Go on, girl
I can't get it back
But I don't want it back
I realized that she don't know how to act
Tried to settle down and look what I get
Thought it was my time, but I guess not yet
She at the b a r getting drinks from many men
I'm in the house, thinking she's with her gi rlfri end s
Just not knowin', truly not knowin'
I look back now like, "Man, I was open"
I was inviting (her into my heart), hey
But she was out riding (in some other man's car)
She was my night time (thought I was her star)
Guess I was wrong, but see, I'm strong
Won't take long for me to move on
Oh, please, don't worry 'bout me, I'm fine
(Please, don't worry 'bout me, I'm fine)
Only gonna play the fool one time
(Only gonna play the fool one time)
Trust me when I say that I'll be okay
Go on, girl (go on, girl)
Go on, girl (go on, girl)
Go on, girl
Ooh, the mistake I made was clear
(We never should've been together)
That's the reason you're not here
(I know that I can do much better)
Hey, not a single salty tear
Not a feelin' in my chest
Baby, I'm feelin' no stress
I'm too fly to be depressed
Go on, girl (go on, girl)
Go on, girl (go on, girl)
Mmm
Go on, girl, go on, girl
Oh, oh, oh, oh, hey, oh
Please, don't worry 'bout me, I'm fine
(Please, don't worry 'bout me, I'm fine)
Only gonna play the fool one time
(Only gonna play the fool one time)
Trust me when I say that I'll be okay
Go on, girl (go on, girl)
Go on, girl (go on, girl)
Go on, girl
Oh, please, don't worry 'bout me, I'm fine
(Please, don't worry 'bout me, I'm fine)
Only gonna play the fool one time
(Only gonna play the fool one time)
Trust me when I say that I'll be okay
Go on, girl (go on, girl)
Go on, girl (go on, girl)
Go on, girl
Mmm, go on, girl, go on, girl, go on, girl
I'll be fine
Explanation:
Question 3 (1 point)
Storing chemicals in original containers in a locked area and wearing protective equipment when using chemicals can prevent injury.
True
False
Question 4 (1 point)
Putting a fire blanket over flames will remove the heat of a fire, which causes it to stop burning.
True
False
Question 5 (1 point)
Testing smoke detectors monthly and changing smoke detector batteries yearly is important when conducting a fire safety inspection.
True
False
Question 6 (1 point)
Emergency supplies should be stored in a locked cabinet so they are out of children’s reach.
True
False
Answers
Answer: All are true
Explanation: I learned this when I was in HOSA, PE, and Health Class. Trust me
Hope this helps
--Wavey
What is the first step of the STOP procedure for assessing acute sports injuries?
A.
Start treatment for the injury.
B.
Stop the player from further aggravating the injury.
C.
Speak with the player about what type of injury it is.
D.
Support the player during the recovery period.
Please select the best answer from the choices provided.
A
B
C
D
Answers
Which is considered normal blood pressure?
A) 129/89
B) 118/76
C) 135/85
D) 145/90
Answers
Answer:
B
Explanation:
Explanation: B
Clarence goes to his doctor and discovers he has high blood pressure. What MOST likely is something his doctor will recommend to help lower his blood pressure?
Answers
Doctor will recommend to lower his blood pressure by maintaining healthy diet, body weight and performing regular exercise.
What are the factors that lowers blood pressure?Clarence has high blood pressure, therefore, his doctor recommends some lifestyle changes to help lower his blood pressure. These changes may which are reducing sodium intake because consuming too much salt increases blood pressure. Reduce his sodium intake can be avoided by consuming less processed and fast foods and more fruits and vegetables.
Regular exercise and physical activity also help to lower blood pressure, so doctor can recommend Clarence to engage in moderate physical activity for at least 30 minutes a day and eating a healthy diet, such as fruits, whole grains, low-fat dairy products, etc. also lower blood pressure.
Maintaining a healthy weight is also very important aspect in lowering blood pressure, so his doctor also suggest to maintain a healthy weight through exercise and his doctor also recommend to reduce the alcohol intake.
Therefore, doctor will recommend to maintain healthy diet, body weight and performing regular exercise to lower the blood pressure.
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After being diagnosed with poliovirus, Dani experienced paresthesia. Which complaint MOST likely accompanied this specific symptom?
A ~ I cannot move my legs.
B ~ I cannot feel anything in my legs.
C ~ I feel pins and needles in my legs.
D ~ I feel extreme heat in my legs.
I will give brainliest to the first person to answer!
Answers
Answer:
C i think so tbh im not sure is it C or B but ill go with C !
who knows why we have white blood cells?
Answers
Answer:
White blood cells are part of the body's immune system. They help the body fight infection and other diseases.
Which of the following drugs is an odorless, tasteless depressant drug that is usually available as a pill, powder, or in a liquid form?
A.
Cocaine
B.
GHB
C.
Heroin
D.
Marijuana
Answers
I believe it is B. Not sure, I kind of looked it up to compare and B seemed like it fit the description the most.
is it true that humen have 5 scenes
Answers
Answer:
Humans have 5 senses
Explanation:
Touch Smell vision hearing Touch
Which of the following best describes genetic variation in organisms?
Genetic variation is chosen by the organism.
Genetic variation is differences in an organism's DNA leading to a variety of traits.
Genetic variation does not benefit organisms in their environment.
Genetic variation occurs because both parents give the exact same genes to their offspring.
Answers
Answer:
option two "Genetic variation is differences in an organism's DNA leading to a variety of traits"
Option two is the correct answer because genetic variation refers to the differences in the DNA sequences of individuals within a population. This variation can lead to differences in physical traits, behavior, and other characteristics among individuals. Genetic variation is crucial for the survival and adaptation of a population to changing environmental conditions. Without genetic variation, populations may not have the necessary traits to survive changes in their environment, and may be more vulnerable to diseases or other threats.
Option B - Genetic variation is differences in an organism's DNA leading to a variety of traits.
Is better Five nights at freddys or The Aftons better?
Answers
Answer:
five nights at freddys
Explanation:
has better jumpscares
which statement is true about peer pressure
a. As an adult, you do not have to worry for peer pressure
b. If your friend keeps asking you to drink alcohol, it means they really care about you
c. Many people who drink want to be the only one drinking.
d. You never need to apologize for not drinking
I feel like its d but if its not i just wanted to know :)
Answers
Answer:
d. You never need to apologize for not drinking
Explanation:
The answer you chose is correct.
What are two ways to help control the opioid overdose epidemic?
Answers
Answer: Add more regulations, and increase the punishment for having it
Explanation:
Answer:
Make them through up
make sure they stay awake
Give them saline
Explanation:
are all trans women born with male parts
(i just want to know I'm trying to figure out my sexuality)
Answers
Ok. I am going to have two subjects and 2 questions.
Health: Relationship advice for a bisexual couple. Both girls. Only 13 and Do you think we will get married someday? why or why not? What do you think the chances are for us getting married someday.
Mathwork is the screenshot.
Answers
yes 0.5% :)))))
Explanation:
Answer:
It depends on a lot of things. Like if you still know and love each other by then. I'd say there's about a 25% chance
Explanation:
Which of the following is not a responsibility of the offense or attack?
To maintain possession of the ball.
To maintain possession of the ball.
To regain possession of the ball.
To regain possession of the ball.
To pass the ball to teammates.
To pass the ball to teammates.
To score in the opponent’s “goal.”
Answers
Answer:
to pass the ball to teammates
Explanation:
The responsibility of the offense or attack is not considered to be pass the ball to teammates.
What is the offense?It is something that should be outraged the moral or the physical senses
Also, it includes the responsibility that for maintaining the ball possession, regaining the ball possession, also for scoring the opponent goal.
hence, we can say that The responsibility of the offense or attack is not considered to be pass the ball to teammates.
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