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]
3 years ago
6

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

Mathematics
1 answer:
gayaneshka [121]3 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
At the school pay students can attend for only $7, but for aduts it costs $10
svp [43]

Answer:

question? I don't understand

5 0
3 years ago
Read 2 more answers
3x+7y=-6<br> 7x+3y=26<br> solve by elimenation
Artemon [7]
3x+7y=-6 -7x+3y=26 -4x+4y=-32 +4x on both sides and you end up with 4y=-32+4x now divide both sides by 4 and you get y=-8+x then to incorporate that in one of the problems 3x+7(-8+x)=-6 do the distributive property with the 7 into the () and you get 3x-56+7x=-6 now add all common variables and get 10x-56=-6 now add 56 to both sides and you get 10x=50 now divide by 10 on both side and you get x=5 now for getting y to equal a number instead of an equation 3(5)+7y=-6 15+7y=-6 subtract 15 on both sides to get 7y=-21 not divide by 7 on both sides to get y=-3 your answers are y=-3 and x=5
4 0
3 years ago
HURRY LIMITED TIME
lakkis [162]
If g is the gallons of gas, and the truck holds up to 20 gallons, then g can be anything from 0 to 20.

If there is zero gallons of gas (g = 0) then the truck will travel zero miles because M(0) = 17(0) = 0.

The max miles depends on the max gallons of gas, so the miles possible with 20 gallons is M(20) = 17(20) = 340.

So, g ranges from 0 to 20 and M(g) ranges from 0 to 340.
Therefore your answer is the last option.
8 0
3 years ago
HELP ASAP EXTRA POINTS <br> -42-6n=-30 solve for n.
xz_007 [3.2K]

the answer to your question is n = -2

4 0
3 years ago
A construction crew is paving a road. The crew has already paved 1,000 square feet and can pave at a rate of 300 square feet of
denis23 [38]

Answer:

1,900 square feet; f(3) represents the total number of square feet the construction crew has paved after 3 hours.

The function of the construction crew is an illustration of a linear function

The value of f(3) is 1900, and f(3) represents the total number of square feet paved after working for 3 hours

The function is given as:

To calculate f(3), we substitute 3 for x

Multiply 300 and 3

Add 900 and 1000

This means that the value of f(3) is 1900.

And it represents the total number of square feet paved after working for 3 hours

1,900 square feet; f(3) represents the total number of square feet the construction crew has paved after 3 hours.

6 0
2 years ago
Other questions:
  • B) State a valid formula for multiplying out (A + B)(A − B)
    13·1 answer
  • The cost of fabric (y) is directly proportional to he length is yards (x). If 5 yards of fabric cost $14, which equation models
    5·2 answers
  • The original cost of a cell phone is x dollars. The phone is on sale for 35% off. What would be the simplified expression for th
    15·2 answers
  • Solve for x <br> 9x - 1 = -11
    8·2 answers
  • Does this table represent a function? Why or why not?
    15·2 answers
  • Ben has 12 more autographed baseball cards than Kevin. If Ben has 27 cards, how many does Kevin have?
    11·2 answers
  • The sum of two numbers is 25 and their quotient is 4
    11·1 answer
  • 2 is the whole number 4 over 5 + 6 is the whole number 14 over 15 and is has to be a fraction
    8·1 answer
  • The table below shows the results of a screening program organized by Level 300 students of the department physiotherapy of the
    5·1 answer
  • Urgent help wanted/ needed
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!