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
Elden [556K]
2 years ago
6

Evaluate the line integral 2 + x2y ds where c is the upper half of the circle x2 + y2 = 1.

Mathematics
1 answer:
goldfiish [28.3K]2 years ago
8 0

Parameterize <em>C</em> by

r(t) = 〈x(t), y(t)〉 = 〈cos(t), sin(t)〉

with 0 ≤ t ≤ <em>π</em>. Then the line integral is

\displaystyle \int_C (2+x^2y)\,\mathrm ds = \int_0^\pi (2+\cos^2(t)\sin(t))\left\|\mathbf r'(t)\right\|\,\mathrm dt \\\\ = \int_0^\pi (2+\cos^2(t)\sin(t)) \,\mathrm dt = \boxed{\frac23+2\pi}

You might be interested in
Use the triangle at the right. find the length of the missing side
mario62 [17]

3.0 NOT SURE IF ITS CORRECT


8 0
3 years ago
How many times larger is 3×108 than 3×102?
Vinvika [58]

Answer: 120

Step-by-step explanation:

3 x 108 = 324

3 x 102 = 204

so 324 - 204 = 120

4 0
3 years ago
What is 8 + x ≥ 12 on a number line???
levacccp [35]
8+x ≥ 12
-8 -8
x ≥ 4
(i tried taking the picture)

6 0
2 years ago
You have a jar with 91 raisins. How many are left after you have eaten some?
Lemur [1.5K]

Answer: you choke and die by the time you hit 41 left :)

5 0
3 years ago
Algebra 2 help plsass
Novosadov [1.4K]

Answer:

A

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • 93 olds bravada 4 .3 liter with a code reading 82 what does this mean ,how to fix
    10·1 answer
  • If f(x) = 4x2 + 1 and g(x) = x2 – 5, find (f – g)(x)
    12·2 answers
  • What is the term for protection that guarantees payment to you in the event of financial loss?
    13·2 answers
  • Alvin is six years younger than Elga. The sum of their ages is 62. What is elga’s age?
    8·1 answer
  • Identify the slope and intercept of the following linear equation.
    8·2 answers
  • Pls help my brain hurts
    10·2 answers
  • A baby girl weighed 18 lb 10 oz at 11 months and 20 lb 2 oz at 12 months. How much weight did the baby gain during this month?
    15·1 answer
  • What is the y-intercept in the equation y=4x-3?
    8·1 answer
  • Pleeaaaaassssssseeeee help for brainlist and 100 points
    11·2 answers
  • Brainiest to whoever right
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!