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
wolverine [178]
3 years ago
14

Find the length of l on the curve r(t)=5cos(3t)i-5sin(3t)j+3tk over the interval [3,7]

Mathematics
1 answer:
stealth61 [152]3 years ago
4 0
\mathbf r(t)=5\cos3t\,\mathbf i-5\sin3t\,\mathbf j+3t\,\mathbf k
\mathrm d\mathbf r(t)=\mathbf r'(t)\,\mathrm dt=(-15\sin3t\,\mathbf i-15\cos3t\,\mathbf j+3\,\mathbf k)\,\mathrm dt

\displaystyle\int_C\mathrm d\mathbf r(t)=\int_{t=3}^{t=7}\|\mathbf r'(t)\,\mathrm dt\|=\int_{t=3}^{t=7}\sqrt{225\sin^23t+225\cos^23t+9}\,\mathrm dt
=\displaystyle3\sqrt{26}\int_{t=3}^{t=7}\mathrm dt
=12\sqrt{26}
You might be interested in
mr. brown has 78 pencils. he gave them to 8 children so that each child gets the same number of pencils. how many does each chil
Vera_Pavlovna [14]

Each student got 9 pencils. Since 78/8= 9.75 you would round down since a student can't have 3/4th of a pencil.

3 0
3 years ago
Choose all the numbers that 135 is divisible by.<br><br> 2<br> 3<br> 4<br> 5<br> 6<br> 9<br> 10
barxatty [35]

Answer:

3,5,9

Step-by-step explanation:

I use the method

if it is even can be divisible by 2

if the first 3 numbers add to something divisible by 3

4 if the first 2 numbers add up to be divisible by 4

5 has to end in 0 or 5

6 has to be divisible by 2 AND 3

9 has to be divisible by 3

3 0
3 years ago
I know the answers but I don't know how to solve it
lutik1710 [3]
You did it right. 1.35 + 7.00 and you have the right answer. is that what you mean?
4 0
3 years ago
What is the slope of the line 3х + 5у — 2х + Зу
Shkiper50 [21]

Answer:

-1/8

Step-by-step explanation:

8 0
3 years ago
1. The point (1,-7) is on a circle k, which has its<br> centre at 0(0,0)<br> Sketch the circle k.
maria [59]

Answer:

answered with a diagram

6 0
3 years ago
Other questions:
  • Can someone please help me with this 1 question worth 50 points!
    11·1 answer
  • Give the coordinate of a point on the line whose equation in point slope form is y-(3)=1/2(x-4)
    7·1 answer
  • There are 500 computers in an office building. The IT manager randomly chose 40 computers to be inspected for viruses. Of those
    6·2 answers
  • One rainy Saturday morning, Adam woke up to hear his mom complaining about the house being dirty. "Mom is always grouchy when it
    10·1 answer
  • Helppppppp me please
    8·1 answer
  • Hello please help thanks i’ll give brainliest!
    14·1 answer
  • The smallest figurine in a gift shop is 2 inches tall. The height of each figurine is twice the height of the previous figurine.
    15·1 answer
  • Plz help me what the coordinate points for each
    7·1 answer
  • Whoever responds first will get marked Best!!!A tomato sauce recipe uses 96 ounces of crushed tomatoes. About how many millilite
    12·1 answer
  • Marc mixes blue and yellow paint to make his favorite shade of green, which he'll use to paint his house. He has 14 cans of blue
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!