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
nasty-shy [4]
2 years ago
8

Use Green's Theorem to evaluate the line integral along the given positively oriented curve.

Mathematics
1 answer:
FromTheMoon [43]2 years ago
5 0

Answer:

∫ C ( y + e√x) dx  +  ( 2x + cosy² ) dy = 1/3

Step-by-step explanation: See Annex

Green Theorem establishes:

∫C ( Mdx  +  Ndy )  = ∫∫R ( δN/dx  -  δM/dy ) dA

Then

∫ C ( y + e√x) dx  +  ( 2x + cosy² ) dy

Here

M = 2x  + cosy²           δM/dy  =  1

N = y + e√x                 δN/dx  =  2

δN/dx  -  δM/dy  =  2  -  1   = 1

∫∫(R) dxdy   ∫∫ dxdy

Now integration limits  ( see Annex)

dy  is from   x  = y²    then     y = √x    to  y = x²   and for dx

dx   is from 0   to  1 then

∫ dy    = y | √x   ;   x²      ∫dy    =  x² - √x

And

∫₀¹ ( x² - √x ) dx    =  x³/3  - 2/3 √x |₀¹    =   1/3 - 0

∫ C ( y + e√x) dx  +  ( 2x + cosy² ) dy = 1/3

You might be interested in
Round 38.49 to the nearest whole number
AnnyKZ [126]
38. The nearest whole number to 38.49 is 38 because at .5 you begin rounding up to the nearest whole number.

8 0
3 years ago
What is the simplest radical form of the expression?
Anna35 [415]

Answer:

x^2y^2 3y^2

Step-by-step explanation:

its a or the first choice

6 0
3 years ago
Simplify the expression<br><br> 7√7 - 2√28
Nadusha1986 [10]
<span>7√7 - 2√28

2 sqrt(28) = 4 * sqrt(7)

7*sqrt(7) - 4*sqrt(7) =

3 * sqrt(7)

</span>
8 0
2 years ago
Read 2 more answers
Why do we need to integrate probabilities in statistics?
geniusboy [140]
For the answer to the question above asking w<span>hy do we need to integrate probabilities in statistics?
Well, i</span>ntegration is used very very often in theoretical statistics. Transformation relates to the result that data values that are modelled as being random variables from any given continuous distribution can be converted to random variables having a standard uniform distribution. So, we need to see other possibilities by combining<span> (one thing) with another.</span>
5 0
3 years ago
The process that begins with recording business transactions and includes the completion of the financial statements is the
just olya [345]
Answer:  "accounting cycle" .
_______________________________________________________
6 0
3 years ago
Other questions:
  • PLEASE HELP AND EXPLAIN
    7·2 answers
  • Divide. −2 4/7 Enter your answer as a mixed number, in simplified form,
    14·1 answer
  • Mattie uses the discriminant to determine the number of zeros the quadratic equation 0 = 3x2 – 7x + 4 has. Which bestdescribes t
    15·1 answer
  • given the vector v has an initial point (-2,-6) and a terminal point of (1,2) write vector v as a linear combination of the stan
    9·1 answer
  • Factorise<br>21x squared - 14x​
    11·1 answer
  • Write an equation to represent the sequence<br> 19, 38, 57, 76,95 ...
    9·1 answer
  • A rectangle is 15m longer than it is wide. Its perimeter is 72m. Find its length and width.
    6·1 answer
  • PLEASE ANSWER IM ON A TIMED QUIZ!!!
    13·1 answer
  • Can someone please answer this question?
    14·1 answer
  • Can you help me please ​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!