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
Aleksandr [31]
4 years ago
11

C xy2 ds, c is the right half of the circle x2 y2 = 4 oriented counterclockwise

Mathematics
1 answer:
Kryger [21]4 years ago
6 0
Parameterize the contour by

C:\mathbf r(t)=(2\cos t,2\sin t)\implies \dfrac{\mathrm d\mathbf r}{\mathrm dt}=(-2\sin t,2\cos t)
\implies\mathrm dS=\sqrt{\left(\dfrac{\mathrm dx}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dy}{\mathrm dt}\right)^2}\,\mathrm dt=2

where -\dfrac\pi2\le t\le\dfrac\pi2. Then the line integral is given by

\displaystyle\int_C xy^2\,\mathrm dS=2\int_{-\pi/2}^{\pi/2}(2\cos t)(2\sin t)^2\,\mathrm dt
=\displaystyle16\int_{-\pi/2}^{\pi/2}\cos t\sin^2t\,\mathrm dt=\dfrac{32}3
You might be interested in
I NEED HELP ITS KINDA EASY BUT NOT FOR ME
astra-53 [7]

Answer:

28m

Step-by-step explanation:

Formula of area

AREA = LENGTH (multiply) BREATH

6 0
3 years ago
Read 2 more answers
Tell whether the triangle with the given side lengths is a right triangle.
kramer

Answer:

no

Step-by-step explanation:

so in order for it to be a right triangle this would have to be true:

a^2 + b^2 = c^2

since c represents the hypoteneuse, it will be the longest side. so:

60^2 + 63^2 = 88^2

3600 + 3969 = 7744

7569 = 7744

since that statement is not true, the answer is no.

it is not a right triangle  

the square root of 7569 is 87, so the triple would have to be : {60,63,87}

4 0
3 years ago
HELP. ONLY ANSWER QUESTION 4. THANKS
Alina [70]

Answer:

A. x+30

B. x+35

Step-by-step explanation:

A. Daniel

Since "Daniel is 30 cm taller than Katie" and "Katie's height is x cm", the expression will be x+30

B. Juli (sorry I can't type the full name due to Brainly system)

Since "Juli is 5 cm taller than Daniel" and Daniel is (x+30) cm, the expression will be (x+30)+5=x+35

8 0
3 years ago
What will happen to the graph of the line y = -5/4x + 3 if you change -5/4 to 5/4?
joja [24]

Answer:

The slope of the line will change from negative to positive

Step-by-step explanation:

The equation of the line, y = -⁵/4 x + 3, is written in the slope-intercept form, which is y = mx + b. Where,

Slope = m, which means the slope of the line is -⁵/4,

y-intercept = b, which means the y-intercept of the line is 3.

Therefore, if -⁵/4 is changed to ⁵/4, the slope has been changed from negative to positive. Therefore, the graph of the slope of the line will change from negative to positive.

4 0
3 years ago
A narrator who is also a character in the story is?
diamong [38]
b. second person or c. third person limited, depending on how the narrator describes the scene. If the narrator says "you do this, you do that..." etc., than its second person, if the narrator acts as a character in the story and talks as if they're talking to you, describing a story, ("He is bad. She is good.") than its c. third person limited.

It could also be that the narrator is the main character describing the scene as "I like this, I like that." In that case, it would be a. first person
5 0
4 years ago
Read 2 more answers
Other questions:
  • What is an angle that is complementary to angle dge
    12·2 answers
  • Solve each inequality and graph its solution.
    11·1 answer
  • Please help me out..(:
    9·1 answer
  • What is the APR of a payday loan for $1400 due in 5 days that charges a $105
    5·1 answer
  • Rebecca picked
    6·1 answer
  • What is 10 percent of 9
    7·2 answers
  • Express the area of a rectangle with length 3wz, and width 10z, as a monomial.
    10·2 answers
  • I need Help badly please help
    8·2 answers
  • Solve for x.<br> Your answer must be simplified. −30&lt; x/-4
    13·2 answers
  • HELP ASAP
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!