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
liberstina [14]
3 years ago
11

Find the centroid of the region bounded by the given curves y=8sin(4x), y=8cos(4x)

Mathematics
1 answer:
Luba_88 [7]3 years ago
5 0
A cosine is just a sine shifted to the left by π/2. A cosine of 4x is shifted to the left by only π/8 because of the factor 4. Sketch them.

The region we're looking for is this sausage-shaped part between the cos and the sin.

The x intercepts are at π/8 for the cosine and π/4 for the sine. The midpoint between them is at (π/8 + π/4)/2 = 3/16π.

The region is point symmetric around the x axis, so the y coordinate of the centroid is 0.

So the centroid is at (3/16π, 0)
You might be interested in
You are building a door frame. Both sides are 80.5 inches long and the top and bottom are both 36.5 inches wide. Which additiona
scZoUnD [109]

Answer:

you'd have to know that the corners are at 90 degree angles. as is, it could be a parallelogram

6 0
3 years ago
PLEASE ANSWER ASAP!!! I REALLY NEED HELP!!1
Luden [163]
A. C=.55p so if p=2, then it would cost $1.10.
B. so since theyre reducing the cost by five cents then the cost per pound is 50 cents so c=.50p and the cost of 2 pounds would be a dollar.
5 0
3 years ago
Read 2 more answers
Plz help! <br><br> 1/8 x 2/3 = ?<br> Lowest terms ????
dem82 [27]

Answer:

Normal form = 1/12

Decimal form: 0.0833

5 0
2 years ago
Help guys help help help help. ​
ss7ja [257]

Answer:

No.

Step-by-step explanation:

The rubber is what keeps the wire insulated and to stop it from shocking you. so no if you use that cable you are posing a hazard to yourself. Although chargers can have the rubber be torn and still work properly, it better not to take any chances. (i may or may not be wrong but do what you want)

6 0
2 years ago
Read 2 more answers
How do I prove that (1+sinx)/cosx=cos(-x)/(1+sine(-x))
stira [4]
\dfrac{1+\sin x}{\cos x}=\dfrac{\cos (-x)}{1+\sin(-x)}\\&#10;\dfrac{1+\sin x}{\cos x}=\dfrac{\cos x}{1-\sin x}\\&#10;\cos^2 x=(1+\sin x)(1-\sin x)\\&#10;\cos^2 x=1-\sin^2 x\\&#10;\sin^2 x+\cos^2 x=1&#10;
5 0
3 years ago
Other questions:
  • Which graph represents the solution of the inequality -3x + 1 less than 10
    7·1 answer
  • PLEASE ANSWER WILL MARK BRAINIEST IF CORRECT :)
    13·1 answer
  • Which statements about the ellipse are true? Check all that apply. The center is located at (2, - 1) . The major axis is 8 units
    11·1 answer
  • 10x + 9y - 10z = -7<br> 72 - 9y + 72 = 0<br> 7x – 3y + 2z = 2
    7·1 answer
  • Find the 6th partial sum of the following geometric series.<br><br> 1/2, -3/2, 9/2, -27/2
    7·1 answer
  • Amanda Gorman already has plans to run for President. The expression that gives the year in which she hopes to do this is given
    5·1 answer
  • A giant and a dragon live next door to each other. The giant's house is 23 meters tall. His house is 35 meters shorter than the
    9·1 answer
  • 9 x 1.000 + 7 x 100 + 3 x 1 + 2 x 1/10 + 4 x 1/100
    9·1 answer
  • 128 times 72
    7·1 answer
  • EXPRESS EACH OF THE FOLLOWING PERCENTAGES AS A DECIMAL:
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!