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
Ghella [55]
3 years ago
14

Evaluate the line integral using the fundamental theorem of line integrals. use a computer algebra system to verify your results

. cos(x) sin(y) dx + sin(x) cos(y) dy c
c.line segment from (0, −π) to 3π 2 , π 2 11
Mathematics
1 answer:
mario62 [17]3 years ago
7 0
\dfrac{\partial f}{\partial x}=\cos x\sin y\implies f(x,y)=\sin x\sin y+g(y)

\dfrac{\partial f}{\partial y}=\sin x\cos y=\sin x\cos y+\dfrac{\mathrm dg}{\mathrm dy}
\implies\dfrac{\mathrm dg}{\mathrm dy}=0\implies g(y)=C

f(x,y)=\sin x\sin y+C

\displaystyle\int_{\mathcal C}\cos x\sin y\,\mathrm dx+\sin x\cos y\,\mathrm dy=\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=f\left(\frac{3\pi}2,\frac\pi2\right)-f(0,-\pi)=-1
You might be interested in
Help with these equations please!
soldi70 [24.7K]
1) yes
2) x=-4,y=-7
3) x= -3, y=4
4) x= -1, y=2
5) x= -5, y=-8
8 0
3 years ago
Perimeter of a rectangle is 96m. if it's length is 3 times it's width , then find it's length and breadth.​
Stolb23 [73]

Answer:

breadth = 12

length = 36

Step-by-step explanation:

let the breadth be 'x'

length = 3x

p = 2l + 2b

96 = 2(3x) + 2(x)

x = 12

7 0
3 years ago
A bag contains eight marbles of equal size and weight. One marble is red, two marbles are white, and five marbles are blue. A ma
kiruha [24]
Its D 1/28 because I did the problem 


6 0
3 years ago
Read 2 more answers
I need help with a MathsWatch question!
KIM [24]
To find the area of a circle, you do π × diameter (in this case 10). They have told you to use 3.142 as π, so you do 3.142 × 10 = 31.42. Because it's a semi-circle, you need to halve 31.42 to get 16.21, which is the answer
6 0
3 years ago
Read 2 more answers
Suppose your SAT score is 1180. You look up the average SAT scores for
Stella [2.4K]

Answer:

1190

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • What is 7n+6=4n-9. can someone help plz
    5·1 answer
  • I really need help with this
    6·2 answers
  • The population of a city was 177 thousand in 1992. The exponential growth rate was 1.3% per year. a) Find the exponential growth
    9·1 answer
  • How would you find the volume of the figure represented by the given net?
    12·2 answers
  • Nick can purchase each milkshake for $2. For the first milkshake purchased Nick is willing to pay $4, for the second milkshake $
    7·1 answer
  • The five number summary is?
    12·1 answer
  • Please hurry!!!!!!
    8·2 answers
  • PLEASE HELP .!!! ILL GIVE BRAINLIEST.. *EXRTA POINTS* .. DONT SKIP :(( ! <br> ILL GIVE 40 POINTS .
    7·2 answers
  • Khalid invests $500 in an account that earns 1.5% interest per year, compounded annually. Which of the following is
    5·2 answers
  • Help please due today Click the picture to make it bigger
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!