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
gulaghasi [49]
3 years ago
9

Given a parametric curve

Mathematics
1 answer:
galben [10]3 years ago
3 0

(a) The area of the region would be given by the integral

\displaystyle\int_0^\pi y(t)\left|x'(t)\right|\,\mathrm dt = 8 \int_0^\pi \sin^2(t)\,\mathrm dt

(b) The area of the surface of revolution would be given by

\displaystyle\int_0^\pi y(t)\sqrt{x'(t)^2+y'(t)^2}\,\mathrm dt = 4\int_0^\pi\sin(t)\sqrt{4\sin^2(t)+16\cos^2(t)}\,\mathrm dt

You might be interested in
As a pendulum swings the angle theta that it makes with the vertical changes through its swing. The force of gravity pulling on
Sergio [31]
B. 0.049sqrt 2-sqrt2 N
6 0
3 years ago
Read 2 more answers
(10) Both red line and blue line trains left the station at 5:00 pm. If both
scoundrel [369]

Answer:

5:40

Step-by-step explanation:

This is a problem involving the least common difference.

If you know that the red and blue trains left at the same time at 5, you know that another red train will leave at 5:08. Another blue train at 5:10.

The way to solve this will be to write out the factors of 8 and 10 and find the smallest number that they overlap.

Red:

8, 16, 24, 32, 40, 48, 56, 64, 72, 80

Blue:

10, 20, 30, 40

You see that after 40 mnutes, they are both leaving the station again. After 40 minutes, at 5:40, they are both leaving.

6 0
3 years ago
What is the value of the 4 in the number 17.884?<br>Write your answer as a fraction.​
ikadub [295]

Answer:

4/1000

Step-by-step explanation:

the value of 4 is 0.004 which in fraction form is 4/1000

6 0
4 years ago
See the image attached for all information needed.
avanturin [10]

Answer:

12.54 square miles

Step-by-step explanation:

Area of Parallelogram = Base x Height

In this case, Base = 3.3 mi and Height = 3.8 mi

Hence,

Area = 3.3 x 3.8 = 12.54 square miles

6 0
3 years ago
Read 2 more answers
Find the value of x for which ABCD must be a parallelogram.
densk [106]
For a parallelogram, the parallel sides must be the same length. This means you can set their lengths equal to each other. Get like terms on the same side to calculate x.

3x-5=2x+3
3x-5+5=2x+3+5
3x=2x+8
3x-2x=2x-2x+8
x=8

x=8
4 0
3 years ago
Other questions:
  • What is the smallest of the whole number primitives that can represent the decimal value 333?
    15·1 answer
  • The sum of 2 composite numbers is never a prime number. Explain your answer.
    15·1 answer
  • Expressions that are equivalent to <br> –<br> 8(q+6).
    9·1 answer
  • Assigned Media Question Help Determine whether the following probability experiment represents a binomial experiment and explain
    15·1 answer
  • Tina buys 3 7/8 yards of material at the fabric store. She uses it to make a skirt. Afterward, she has 1 3/8 yards of the fabric
    7·2 answers
  • What is the range of the funtion?<br>​
    8·1 answer
  • A submarine was twenty feet below the surface of the water and
    9·1 answer
  • Complete each step in the following solution.
    13·1 answer
  • What is the value of ( 2 1/4 ) ?
    6·1 answer
  • Which fractions are equivalent to 8/20 ?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!