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
svetlana [45]
3 years ago
6

Use​ Green's Theorem to evaluate the line integral. Assume the curve is oriented counterclockwise. Contour integral Subscript Up

per C Superscript Baseline (7 x plus cosine StartFraction 1 Over y EndFraction )dy minus (3 y squared plus ln 3 x )dx ​, where C is the boundary of the square with vertices (1 comma 0 )comma (4 comma 0 )comma (4 comma 3 )comma and (1 comma 3 ). Contour integral Subscript Upper C Superscript Baseline (7 x plus cosine StartFraction 1 Over y EndFraction )dy minus (3 y squared plus ln 3 x )dx ​= nothing ​(Type an exact​ answer.)
Mathematics
1 answer:
Setler79 [48]3 years ago
4 0

By Green's theorem, we have

\displaystyle\int_C\left(7x+\cos\frac1y\right)\,\mathrm dy-(3y^2+\ln(3x))\,\mathrm dx

=\displaystyle\iint_{[1,4]\times[0,3]}\frac{\partial\left(7x+\cos\frac1y\right)}{\partial x}-\frac{\partial(-(3y^2+\ln(3x))}{\partial y}\,\mathrm dx\,\mathrm dy

=\displaystyle\int_0^3\int_1^47+6y\,\mathrm dx\,\mathrm dy=\boxed{144}

You might be interested in
Find The Area Of This Shape
spin [16.1K]
14 because you count the height and how much the base is from the farthest point left to right and multiply h=2 b=7 therefor 2x7 is 14
7 0
3 years ago
Find the number b, where b>0, such that the average value of f(x)=3−27x2 on the interval [0,b] is equal to 2.
Ymorist [56]
F(×)=3-27×2
4-1=3×3=9-27
18×2=36
ob
8 0
3 years ago
Unit Test
Virty [35]
I believe it’s b because of the way that it is
6 0
3 years ago
What is 8 thousands 15 hundreds 15 Tens 18 ones written in standard form ?
ryzh [129]
I'm not sure what you are trying to convey, but you cannot have more than one digit, so this is imposible
8 0
3 years ago
Read 2 more answers
Help me pls
expeople1 [14]

I think you can find it graphically by points through a table you create like:

let x = 0, and find the value of y

for example for the first equation when we let x = 0 you find y = 6 and be in the form of (0,6) then draw them or you can let x = -2 or -3 , etc as you like

to be more accurate you can find 3 pionts and start graphing them

these two equations are straight lines and they will intersect in a point

5 0
2 years ago
Other questions:
  • Please please help me
    11·1 answer
  • Brandon purchased a home for $419,000. He made a 10% down payment and financed the remaining amount. The intangible tax is 0.2%.
    11·1 answer
  • -1.5b = 24 what is the answer to b
    15·2 answers
  • What is the solution for 3x+10y-12z=40
    11·1 answer
  • A cat casts a 32-inch shadow at the same time a nearby flower casts an 8-
    6·1 answer
  • PLEASEEE HELPP WILL GIVE BRAINLIEST
    11·1 answer
  • Sarah bought a bike that cost $260. She had a
    12·1 answer
  • Practice applying percents to consumer situations. reinforce. Ella bought a pair of shoes on sale for $15. If they were on sale
    8·1 answer
  • HELP!! WRITING INEQUALITIES USING A WORD PROBLEM!!
    5·1 answer
  • How many 3-digit numbers less than 500 can be formed from 0, 2, 4, 6, if repetition of digits is allowed?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!