1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
salantis [7]
4 years ago
6

Consider the region bounded by 4y=x^2 and 2y=x.

Mathematics
1 answer:
gayaneshka [121]4 years ago
7 0

Answer:

a) ⅓ units²

b) 4/15 pi units³

c) 2/3 pi units³

Step-by-step explanation:

4y = x²

2y = x

4y = (2y)²

4y = 4y²

4y² - 4y = 0

y(y-1) = 0

y = 0, 1

x = 0, 2

Area

Integrate: x²/4 - x/2

From 0 to 2

(x³/12 - x²/4)

(8/12 - 4/4) - 0

= -⅓

Area = ⅓

Volume:

Squares and then integrate

Integrate: [x²/4]² - [x/2]²

Integrate: x⁴/16 - x²/4

x⁵/80 - x³/12

Limits 0 to 2

(2⁵/80 - 2³/12) - 0

-4/15

Volume = 4/15 pi

About the x-axis

x² = 4y

x² = 4y²

Integrate the difference

Integrate: 4y² - 4y

4y³/3 - 2y²

Limits 0 to 1

(4/3 - 2) - 0

-2/3

Volume = ⅔ pi

You might be interested in
Mr. Sanchez is making pancakes each big batch of Pancakes uses 3/4 cup of milk. If he has 9 cups of milk available how many batc
alukav5142 [94]

Answer:

He can make 12 batches of pancake

Step-by-step explanation:

Total amount of milk = 9 cups

One batch of pancake uses 3/4 cup of milk.

y batch of pancake uses 9 cup of milk.

Therefore ( y ) x (3/4) = 9

\frac{3y}{4}  = 9 \\ 3y = 36 \\ y =   \frac{36}{3}  \\ y = 12

5 0
4 years ago
Any help please I’m kinda lost
4vir4ik [10]

Answer:

371/1000

Step-by-step explanation:

The answer is 1000

8 0
3 years ago
Sally has a part time job mowing lawns so she can save money for a new car. She charges $5 per hour. What numbers make sense for
Ira Lisetskai [31]

Answer:

Independent: Amount of hours she works

Dependent: Amount of money she makes

Step-by-step explanation:

The independent variable is the part of the equation that changes. In this case the only thing that changes is how long she works, the amount of money she charges and what she is doing does not change.

The dependent variable is what you measure in the equation. In this case, the amount of money she makes depends on the amount of time she works.

5 0
3 years ago
Read 2 more answers
You take a 10 question multiple choice test. Each question has 4 choices and you guess on all of them. What is the probability y
Anna35 [415]

Answer:

Probability of getting 7 correctly = 0.0030899

Probability of getting 8 correctly = 0.00038624

Probability of getting 9 correctly = 0.00002861

Probability of getting 10 correctly = 0.00000095367

Probability of Getty at least 7 questions correctly = 0.0035057

Step-by-step explanation:

Please kindly check the attached files for more explanation.

6 0
3 years ago
What is the answer to2/3+ (-5/6)
sergey [27]
Basically, you do 2/3-5/6

2/3-5/6=4/6-5/6=-1/6
3 0
4 years ago
Read 2 more answers
Other questions:
  • How much bigger is 1 1/4 than 5/8
    10·2 answers
  • Sarah rolled a fair six-sided die 24 times. The table below shows the number of times each number was rolled:
    12·2 answers
  • What scale factor should be applied to a solid to produce a volume that is four times as large as the original volume? 64 1.12 4
    9·2 answers
  • A equals 12 B equals 5 C equals
    13·1 answer
  • Avery’s water bottle holds 300 milliliters. Dashawn’s container holds 3/4 as much water how much do both containers hold?
    10·1 answer
  • - A rectangle has an area of 36m2. The width of the rectangle is 9m. What is the length?​
    7·2 answers
  • 7. Calculați perimetrul si aria unui romb cu lungimile diagonalelor de 12 cm şi 16 cm.
    7·2 answers
  • PLLLLLLLLLLLLLLLLLLLLLLLLLLLZZZZ HELP IVE BEEN STUCK ON THIS QUESTION
    6·2 answers
  • Simplify the expression 5√36^2.5​
    8·1 answer
  • What is the difference between scaling up and scaling down a ration?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!