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
bixtya [17]
3 years ago
15

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating

rectangle and label its height and width.4x+y^2=12, x=yThen find the area S of the region.
Mathematics
1 answer:
kherson [118]3 years ago
7 0

Answer:

The Area of the Enclosed Region Is 64/3.

Step-by-step explanation:

As Given in Question

We have, Curve 4x+Y^{2}=12

& X=Y

Solution.

4Y+Y^{2}=12   (X=Y)

Y^{2}+4Y-12=0

Y^{2}+6Y-2Y-12=0

Y(Y+6)-2(Y+6)=0

(Y-2)*(Y+6)=0

Y=2 & -6  (X=Y)

Now at (2,2) & (-6,-6) both curves intersect each other.

The Area Of Enclosed Region is    \int\limits^2_{-6} [(3-Y^{2}/4 )-Y]  \, dy

by Solving This Equation we get Area of Region = 64/3 .    

this equation Solution & Curve Diagram please see In Attachment .  

You might be interested in
Nathan is going to invest in an account paying an interest rate of 4.8% compounded continuously. How much would Nathan need to i
Elena-2011 [213]

Answer:

you would just 4.8 x how many years

Step-by-step explanation:

4 0
3 years ago
Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers.
Andru [333]

Answer:

Nate made a mistake. He should have got 24 as Least common factor.

Step-by-step explanation:

Given number are 8 and 12.

To find the GCF or LCF we have to list multiples.

For LCF

  • List the multiples of each number until at least one of the multiples appears on all lists.
  • Find the smallest number that is on all of the lists.
  • This number is the LCM.

For GCF

  • List the multiples of each number until at least one of the multiples appears on all lists.
  • Find the Biggest number that is on all of the lists.
  • This number is the GCF

The least common multiple of 8 and 12 is 24.

The Greatest common multiply of 8 and 12 is 4.

Hence, Nate is wrong. Nate should have found 24.

[RevyBreeze]

7 0
2 years ago
A system of two linear inequalities is graphed as shown, where the solution region is shaded.
Zinaida [17]

Answer:

(-3,2) is located in the solution region.

Step-by-step explanation:

3 0
3 years ago
What is (x-2)-(x-5)? Plz I will mark u brainliest.
Olenka [21]

Answer: 3

This is the simplified way

7 0
3 years ago
The distance d of a particle moving in a straight line is given by d(t) = 2t3 + 5t – 2, where t is given in seconds and d is mea
Sedaia [141]

Answer:

Step-by-step explanation:

hello,

v(t)=\dfrac{d(t)}{t}=2t^2+5-\dfrac{2}{t}

hope this helps

8 0
3 years ago
Other questions:
  • to enter the fair and $12 on food. Rides at the fair cost $1.25 per ride. Which function can be used to determine how much money
    15·1 answer
  • When A is added to twice B, the result is 21. When B is added to twice A, the result is 18. What are the two numbers?
    7·1 answer
  • Solve for x:p=12-x/1000
    8·1 answer
  • What is the inverse of the function h(x)=2x+1
    8·1 answer
  • A student comes to lecture at a time that is uniformly distributed between 5:09 and 5:14. Independently of the student, the prof
    15·1 answer
  • Find the area of rectangle $BCEF$ . Round the area to the nearest whole number, if necessary.
    7·1 answer
  • Write the following numbers in decreasing order: −4; 1 2 3 ; 0.5; −1 3 4 ; 0.03; −1; 1; 0; −10; 54
    6·1 answer
  • A bank offers two different types of interest on saving accounts
    15·2 answers
  • In which group on the Periodic Table does the atom pictured belong?
    6·1 answer
  • What is the solution to the system of equations below?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!