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
In-s [12.5K]
3 years ago
13

Describe the motion of a particle with position (x, y) as t varies in the given interval. x = 3 + 2 cos(t), y = 3 + 2 sin(t), π/

2 ≤ t ≤ 3π/2
Mathematics
1 answer:
ladessa [460]3 years ago
8 0
<span>The particle starts at (3,5) and travels counter clockwise along a semi-circle with a radius of 2 and centered at (3,3) through the point (1,3) and stops at point (3,1). First, let's look at the two equations: x = 3 + 2 cos(t) y = 3 + 2 sin(t) If you ignore the limits specified for t, you'll realize that they describe a circle with a radius of 2, centered at (3, 3). Now that we know that the functions describe a circle, let's look at the limits specified for t and see what they imply. Since the value is from π/2 to 3π/2, it will span a distance of π radians, so we know the particle will trace half of a full circle, or a semi-circle. Since the starting point is π/2, the starting coordinate of the particle will be: (3 + 2 cos(π/2), 3 + 2 sin(π/2)) = (3 + 2*0, 3 + 2*1) = (3+0, 3+2) = (3,5) And the ending point of the particle will obviously be (3,1). But to demonstrate: (3 + 2 cos(3π/2), 3 + 2 sin(3π/2)) = (3 + 2*0, 3 + 2*(-1)) = (3+0, 3+ (-2)) = (3,1) Now let's see where the particle is in the middle. (3 + 2 cos(π), 3 + 2 sin(π)) = (3 + 2*(-1), 3 + 2*0) = (3 + (-2), 3 + 0) = (1, 3) So the final description is: The particle starts at (3,5) and travels counter clockwise along a semi-circle with a radius of 2 and centered at (3,3) through the point (1,3) and stops at point (3,1).</span>
You might be interested in
Find the distance between points S(6,−3)
Gelneren [198K]

Answer:

.....................

4 0
3 years ago
PLEASE HELP!!! WILL GIVE BRAINLIEST AND ITS WORTH 30 points!!
olasank [31]
145*.

Hope this helps
3 0
3 years ago
Read 2 more answers
A recipe for sugar cookies requires 2 cups of flour for every 2/3 cups of sugar at this rate how many cups of sugar should be us
maks197457 [2]
The answer would be 5/3 or 1 2/3
4 0
3 years ago
1/4 times 24 times 2/3
Strike441 [17]
24(1/4)= 6

6(2/3)= 12/3= 4

The answer is 4. Hope this helps!
6 0
3 years ago
I have one qt of solution diluted out 1:4 How much do I need to add to end up with a final product that’s a 1:10 solution?
LenaWriter [7]

Answer:

1.1352 L

Step-by-step explanation:

L = qt 1.0567

qt = 0.946 L  

1:4 = 5

0.946/5 = 0.1892 L one part

0.1892 x 11 = 2.0812 11 parts as 1+10 =11

Answer therefore is subtracting 5 from 11 parts to get the final 6 parts added = 2.0812 - 0.946

= 1.1352 L

7 0
3 years ago
Other questions:
  • What is the sum of the first 14 terms of the sequence -11+(-18)+(-25)+(-32)...
    7·1 answer
  • A rectangular parking lot has an area of 682 square yards.The lot is 22 yards wide.What is the length of the parking lot?
    15·1 answer
  • The 24 students in ms. lees class each collected an average of 18 cans for recycling. then 21 students in mr. galvez's class eac
    13·1 answer
  • Help Please
    15·1 answer
  • How do you solve the inequality 6y+3&gt; -18x
    12·1 answer
  • Need help!!!!!!!!!!!!!!......
    15·2 answers
  • What number is equal to 2.8 - 4 ÷ 4? 02 03 O 14 O 15​
    6·1 answer
  • At the gift shop, they sell small greeting cards and large greeting cards. The cost of a small greeting card is $ 2.50 and the c
    8·1 answer
  • Which of the following is the value of sin^-1(squareroot of 2/2)
    9·1 answer
  • How do you stop a skunk from smelling?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!